Index

_

__call__() (firedrake.adjoint.ensemble_reduced_functional.EnsembleReducedFunctional method) (firedrake.fml.form_manipulation_language.Label method) (firedrake.preconditioners.patch.PlaneSmoother method) (firedrake.pyplot.FunctionPlotter method) (firedrake.pyplot.mpl.FunctionPlotter method) (firedrake.slate.slac.kernel_builder.IndexCreator method)

A

abs() (firedrake.assign.CoefficientCollector method) AbstractExternalOperator (class in firedrake.external_operators.abstract_external_operators) AbstractMeshTopology (class in firedrake.mesh) action() (in module firedrake.ufl_expr) ActionBag (class in firedrake.slate.slac.optimise) Add (class in firedrake.slate.slate) add() (firedrake.parameters.Parameters method) (firedrake_citations.Citations method) add_hook() (in module firedrake.dmhooks) add_hooks (class in firedrake.dmhooks) add_setup() (firedrake.dmhooks.SetupHooks method) add_teardown() (firedrake.dmhooks.SetupHooks method) adj_sol (firedrake.adjoint_utils.blocks.solving.GenericSolveBlock property) adj_state (firedrake.adjoint_utils.blocks.assembly.AssembleBlock attribute) (firedrake.adjoint_utils.blocks.constant.ConstantAssignBlock attribute) (firedrake.adjoint_utils.blocks.dirichlet_bc.DirichletBCBlock attribute) (firedrake.adjoint_utils.blocks.function.CofunctionAssignBlock attribute) (firedrake.adjoint_utils.blocks.function.FunctionAssignBlock attribute) (firedrake.adjoint_utils.blocks.function.FunctionMergeBlock attribute) (firedrake.adjoint_utils.blocks.function.SubfunctionBlock attribute) (firedrake.adjoint_utils.blocks.mesh.MeshInputBlock attribute) (firedrake.adjoint_utils.blocks.mesh.MeshOutputBlock attribute) (firedrake.adjoint_utils.blocks.solving.GenericSolveBlock attribute) (firedrake.adjoint_utils.blocks.solving.NonlinearVariationalSolveBlock attribute) (firedrake.adjoint_utils.blocks.solving.ProjectBlock attribute) (firedrake.adjoint_utils.blocks.solving.SolveLinearSystemBlock attribute) (firedrake.adjoint_utils.blocks.solving.SolveVarFormBlock attribute) (firedrake.adjoint_utils.blocks.solving.SupermeshProjectBlock attribute) ADJOINT (firedrake.adjoint_utils.blocks.solving.Solver attribute) adjoint() (in module firedrake.ufl_expr) all_terms() (in module firedrake.fml.form_manipulation_language) allocate_matrix() (firedrake.preconditioners.fdm.FDMPC method) allreduce() (firedrake.ensemble.Ensemble method) annotate_assemble() (in module firedrake.adjoint_utils.assembly) annotate_project() (in module firedrake.adjoint_utils.projection) annotate_solve() (in module firedrake.adjoint_utils.solving) AnnulusMesh() (in module firedrake.utility_meshes) apply() (firedrake.bcs.DirichletBC method) (firedrake.preconditioners.asm.ASMPatchPC method) (firedrake.preconditioners.assembled.AssembledPC method) (firedrake.preconditioners.base.PCBase method) (firedrake.preconditioners.facet_split.FacetSplitPC method) (firedrake.preconditioners.fdm.FDMPC method) (firedrake.preconditioners.gtmg.GTMGPC method) (firedrake.preconditioners.hiptmair.TwoLevelPC method) (firedrake.preconditioners.hypre_ads.HypreADS method) (firedrake.preconditioners.hypre_ams.HypreAMS method) (firedrake.preconditioners.patch.PatchPC method) (firedrake.preconditioners.pcd.PCDPC method) (firedrake.preconditioners.pmg.PMGPC method) (firedrake.slate.static_condensation.sc_base.SCBase method) (firedrake.slope_limiter.limiter.Limiter method) (firedrake.slope_limiter.vertex_based_limiter.VertexBasedLimiter method) (firedrake.vector.Vector method) apply_limiter() (firedrake.slope_limiter.limiter.Limiter method) (firedrake.slope_limiter.vertex_based_limiter.VertexBasedLimiter method) apply_mixedmass() (firedrake.adjoint_utils.blocks.solving.SupermeshProjectBlock method) applyTranspose() (firedrake.preconditioners.asm.ASMPatchPC method) (firedrake.preconditioners.assembled.AssembledPC method) (firedrake.preconditioners.base.PCBase method) (firedrake.preconditioners.facet_split.FacetSplitPC method) (firedrake.preconditioners.fdm.FDMPC method) (firedrake.preconditioners.gtmg.GTMGPC method) (firedrake.preconditioners.hiptmair.TwoLevelPC method) (firedrake.preconditioners.hypre_ads.HypreADS method) (firedrake.preconditioners.hypre_ams.HypreAMS method) (firedrake.preconditioners.patch.PatchPC method) (firedrake.preconditioners.pcd.PCDPC method) (firedrake.preconditioners.pmg.PMGPC method) (firedrake.slate.static_condensation.sc_base.SCBase method) arg_function_spaces (firedrake.slate.slate.Add property) (firedrake.slate.slate.AssembledVector property) (firedrake.slate.slate.Block property) (firedrake.slate.slate.BlockAssembledVector property) (firedrake.slate.slate.DiagonalTensor property) (firedrake.slate.slate.Factorization property) (firedrake.slate.slate.Inverse property) (firedrake.slate.slate.Mul property) (firedrake.slate.slate.Negative property) (firedrake.slate.slate.Reciprocal property) (firedrake.slate.slate.Solve property) (firedrake.slate.slate.Tensor property) (firedrake.slate.slate.Transpose property)

Argument (class in firedrake.ufl_expr) argument() (firedrake.formmanipulation.ExtractSubBlock method) arguments (firedrake.tsfc_interface.KernelInfo attribute) arguments() (firedrake.matrix.MatrixBase method) (firedrake.slate.slate.Add method) (firedrake.slate.slate.AssembledVector method) (firedrake.slate.slate.Block method) (firedrake.slate.slate.BlockAssembledVector method) (firedrake.slate.slate.DiagonalTensor method) (firedrake.slate.slate.Factorization method) (firedrake.slate.slate.Inverse method) (firedrake.slate.slate.Mul method) (firedrake.slate.slate.Negative method) (firedrake.slate.slate.Reciprocal method) (firedrake.slate.slate.Solve method) (firedrake.slate.slate.Tensor method) (firedrake.slate.slate.Transpose method) array() (firedrake.vector.Vector method) as_backend_type() (in module firedrake.vector) as_pyop2_local_kernel() (in module firedrake.tsfc_interface) ASMExtrudedStarPC (class in firedrake.preconditioners.asm) ASMLinesmoothPC (class in firedrake.preconditioners.asm) ASMPatchPC (class in firedrake.preconditioners.asm) ASMStarPC (class in firedrake.preconditioners.asm) ASMVankaPC (class in firedrake.preconditioners.asm) assemble() (firedrake.external_operators.abstract_external_operators.AbstractExternalOperator method) (firedrake.matrix.ImplicitMatrix method) (firedrake.matrix.Matrix method) (in module firedrake.assemble) assemble_coefficients() (firedrake.preconditioners.fdm.FDMPC method) (firedrake.preconditioners.fdm.PoissonFDMPC method) assemble_jacobian() (firedrake.external_operators.ml_operator.MLOperator method) assemble_Jacobian() (firedrake.external_operators.point_expr_operator.PointexprOperator method) assemble_jacobian_action() (firedrake.external_operators.ml_operator.MLOperator method) assemble_Jacobian_action() (firedrake.external_operators.point_expr_operator.PointexprOperator method) assemble_jacobian_adjoint() (firedrake.external_operators.ml_operator.MLOperator method) assemble_Jacobian_adjoint() (firedrake.external_operators.point_expr_operator.PointexprOperator method) assemble_jacobian_adjoint_action() (firedrake.external_operators.ml_operator.MLOperator method) assemble_Jacobian_adjoint_action() (firedrake.external_operators.point_expr_operator.PointexprOperator method) assemble_method() (firedrake.external_operators.abstract_external_operators.AbstractExternalOperator method) (in module firedrake.external_operators.abstract_external_operators) assemble_mixed_mass_matrix() (in module firedrake.cython.supermeshimpl) (in module firedrake.supermeshing) assemble_model() (firedrake.external_operators.ml_operator.MLOperator method) assemble_operator() (firedrake.external_operators.point_expr_operator.PointexprOperator method) assemble_reference_tensor() (firedrake.preconditioners.fdm.FDMPC method) (firedrake.preconditioners.fdm.PoissonFDMPC method) AssembleBlock (class in firedrake.adjoint_utils.blocks.assembly) assembled (firedrake.slate.slate.AssembledVector attribute) (firedrake.slate.slate.Block property) AssembledMatrix (class in firedrake.matrix) AssembledPC (class in firedrake.preconditioners.assembled) AssembledVector (class in firedrake.slate.slate) AssemblyRegisterMetaClass (class in firedrake.external_operators.abstract_external_operators) assert_empty() (in module firedrake.utils) assign() (firedrake.assign.Assigner method) (firedrake.cofunction.Cofunction method) (firedrake.constant.Constant method) (firedrake.function.Function method) Assigner (class in firedrake.assign) at() (firedrake.function.Function method) attach_hooks() (in module firedrake.dmhooks) attributes() (firedrake.checkpointing.HDF5File method) AuxiliaryOperatorPC (class in firedrake.preconditioners.assembled) axpy() (firedrake.vector.Vector method)

B

backward() (firedrake.ml.pytorch.fem_operator.FiredrakeTorchOperator static method) backward_solve() (in module firedrake.slate.static_condensation.la_utils) backward_substitution() (firedrake.slate.static_condensation.hybridization.HybridizationPC method) (firedrake.slate.static_condensation.sc_base.SCBase method) (firedrake.slate.static_condensation.scpc.SCPC method) bcast() (firedrake.ensemble.Ensemble method) bcs (firedrake.matrix.MatrixBase property) Block (class in firedrake.slate.slate) block_helper (firedrake.adjoint_utils.blocks.assembly.AssembleBlock attribute) (firedrake.adjoint_utils.blocks.constant.ConstantAssignBlock attribute) (firedrake.adjoint_utils.blocks.dirichlet_bc.DirichletBCBlock attribute) (firedrake.adjoint_utils.blocks.function.CofunctionAssignBlock attribute) (firedrake.adjoint_utils.blocks.function.FunctionAssignBlock attribute) (firedrake.adjoint_utils.blocks.function.FunctionMergeBlock attribute) (firedrake.adjoint_utils.blocks.function.SubfunctionBlock attribute) (firedrake.adjoint_utils.blocks.mesh.MeshInputBlock attribute) (firedrake.adjoint_utils.blocks.mesh.MeshOutputBlock attribute) (firedrake.adjoint_utils.blocks.solving.GenericSolveBlock attribute) (firedrake.adjoint_utils.blocks.solving.NonlinearVariationalSolveBlock attribute) (firedrake.adjoint_utils.blocks.solving.ProjectBlock attribute) (firedrake.adjoint_utils.blocks.solving.SolveLinearSystemBlock attribute) (firedrake.adjoint_utils.blocks.solving.SolveVarFormBlock attribute) (firedrake.adjoint_utils.blocks.solving.SupermeshProjectBlock attribute)

BlockAssembledVector (class in firedrake.slate.slate) bottom_nodes() (firedrake.functionspaceimpl.RealFunctionSpace method) boundary_nodes() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.WithGeometryBase method) boundary_set (firedrake.functionspaceimpl.FunctionSpace attribute) bounding_boxes() (in module firedrake.cython.spatialindex) BoxMesh() (in module firedrake.utility_meshes) build_A00_inv() (firedrake.slate.static_condensation.hybridization.SchurComplementBuilder method) (firedrake.slate.static_condensation.la_utils.SchurComplementBuilder method) build_inner_S() (firedrake.slate.static_condensation.hybridization.SchurComplementBuilder method) (firedrake.slate.static_condensation.la_utils.SchurComplementBuilder method) build_inner_S_inv() (firedrake.slate.static_condensation.hybridization.SchurComplementBuilder method) (firedrake.slate.static_condensation.la_utils.SchurComplementBuilder method) build_Sapprox_inv() (firedrake.slate.static_condensation.hybridization.SchurComplementBuilder method) (firedrake.slate.static_condensation.la_utils.SchurComplementBuilder method) build_schur() (firedrake.slate.static_condensation.hybridization.SchurComplementBuilder method) (firedrake.slate.static_condensation.la_utils.SchurComplementBuilder method) bwd() (firedrake.ml.jax.fem_operator.FiredrakeJaxOperator method)

C

cache() (firedrake.mg.embedded.TransferManager method) cache_dat_versions() (firedrake.mg.embedded.TransferManager method) calculate_dof_offset() (in module firedrake.extrusion_utils) calculate_dof_offset_quotient() (in module firedrake.extrusion_utils) cell_closure (firedrake.mesh.AbstractMeshTopology property) (firedrake.mesh.ExtrudedMeshTopology property) (firedrake.mesh.MeshTopology property) (firedrake.mesh.VertexOnlyMeshTopology property) cell_dimension() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.ExtrudedMeshTopology method) cell_facet_labeling() (in module firedrake.cython.dmcommon) cell_facets_arg_name (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) cell_global_index (firedrake.mesh.VertexOnlyMeshTopology property) cell_node_list (firedrake.functionspaceimpl.FunctionSpace property) cell_node_map (firedrake.ufl_expr.Argument property) (firedrake.ufl_expr.Coargument property) cell_node_map() (firedrake.cofunction.Cofunction method) (firedrake.constant.Constant method) (firedrake.function.CoordinatelessFunction method) (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) cell_orientations() (firedrake.mesh.MeshGeometry method) cell_orientations_arg_name (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) cell_parent_base_cell_list (firedrake.mesh.VertexOnlyMeshTopology property) cell_parent_base_cell_map (firedrake.mesh.VertexOnlyMeshTopology property) cell_parent_cell_list (firedrake.mesh.VertexOnlyMeshTopology property) cell_parent_cell_map (firedrake.mesh.VertexOnlyMeshTopology property) cell_parent_extrusion_height_list (firedrake.mesh.VertexOnlyMeshTopology property) cell_parent_extrusion_height_map (firedrake.mesh.VertexOnlyMeshTopology property) cell_set (firedrake.function.CoordinatelessFunction property) (firedrake.mesh.AbstractMeshTopology property) (firedrake.mesh.MeshTopology property) (firedrake.mesh.VertexOnlyMeshTopology property) cell_sizes (firedrake.mesh.MeshGeometry property) cell_sizes_arg_name (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) cell_subset() (firedrake.mesh.AbstractMeshTopology method) cell_to_facets (firedrake.mesh.AbstractMeshTopology property) (firedrake.mesh.MeshTopology property) (firedrake.mesh.VertexOnlyMeshTopology property) celldist_l1_c_expr() (in module firedrake.pointquery_utils) CellFacetKernelArg (class in firedrake.slate.slac.kernel_builder) CellSize() (in module firedrake.ufl_expr) check() (in module firedrake.version) check_element() (in module firedrake.functionspaceimpl) check_es_convergence() (firedrake.eigensolver.LinearEigensolver method) check_orthogonality() (firedrake.nullspace.VectorSpaceBasis method) check_snes_convergence() (in module firedrake.solving_utils) check_tty (firedrake.progress_bar.ProgressBar attribute) checkpointable_mesh() (in module firedrake.adjoint_utils.checkpointing) CheckpointFile (class in firedrake.checkpointing) CircleManifoldMesh() (in module firedrake.utility_meshes) Citations (class in firedrake_citations) clear_adjacency_callback() (in module firedrake.cython.dmcommon) clear_cache() (in module firedrake.tsfc_interface) clear_cell_sizes() (firedrake.mesh.MeshGeometry method) clear_spatial_index() (firedrake.mesh.MeshGeometry method) close() (firedrake.checkpointing.CheckpointFile method) (firedrake.checkpointing.DumbCheckpoint method) (firedrake.checkpointing.HDF5File method) closure_ordering() (in module firedrake.cython.dmcommon) Coargument (class in firedrake.ufl_expr) coarse_cell_to_fine_node_map() (in module firedrake.mg.utils) coarse_node_to_fine_node_map() (in module firedrake.mg.utils) coarse_to_fine_cells() (in module firedrake.cython.mgimpl) coarse_to_fine_nodes() (in module firedrake.cython.mgimpl) coarsen() (firedrake.preconditioners.hiptmair.HiptmairPC method) (firedrake.preconditioners.hiptmair.TwoLevelPC method) (in module firedrake.dmhooks) (in module firedrake.mg.ufl_utils) coarsen_bc_value() (firedrake.preconditioners.pmg.PMGPC method) (firedrake.preconditioners.pmg.PMGSNES method) coarsen_element() (firedrake.preconditioners.low_order.LORPC method) (firedrake.preconditioners.low_order.P1PC method) (firedrake.preconditioners.low_order.P1SNES method) coeff (firedrake.slate.slac.optimise.ActionBag attribute) coefficient() (firedrake.assign.CoefficientCollector method) coefficient_derivative() (firedrake.formmanipulation.ExtractSubBlock method) coefficient_numbers (firedrake.tsfc_interface.KernelInfo attribute) CoefficientCollector (class in firedrake.assign) CoefficientInfo (class in firedrake.slate.slac.kernel_builder) coefficients (firedrake.slate.slac.tsfc_driver.ContextKernel attribute) coefficients() (firedrake.slate.slate.AssembledVector method) (firedrake.slate.slate.Block method) (firedrake.slate.slate.BlockAssembledVector method) (firedrake.slate.slate.Factorization method) (firedrake.slate.slate.Tensor method)

Cofunction (class in firedrake.cofunction) CofunctionAssignBlock (class in firedrake.adjoint_utils.blocks.function) collapse() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.WithGeometryBase method) collect_coefficients() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) collect_constants() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) collect_tsfc_kernel_data() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) comm (firedrake.halo.Halo property) (firedrake.mesh.AbstractMeshTopology property) (firedrake.mg.mesh.HierarchyBase property) commandline_options (firedrake.petsc.OptionsManager attribute) compile_coordinate_element() (in module firedrake.pointquery_utils) compile_element() (in module firedrake.mg.kernels) (in module firedrake.pointeval_utils) compile_expression() (in module firedrake.slate.slac.compiler) compile_form() (in module firedrake.tsfc_interface) compile_terminal_form() (in module firedrake.slate.slac.tsfc_driver) complete_facet_labels() (in module firedrake.cython.dmcommon) complex_value() (firedrake.assign.CoefficientCollector method) component (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) component_tensor() (firedrake.assign.CoefficientCollector method) ComponentFunctionSpace() (in module firedrake.functionspaceimpl) compute_action_adjoint() (firedrake.adjoint_utils.blocks.assembly.AssembleBlock method) compute_bounds() (firedrake.slope_limiter.limiter.Limiter method) (firedrake.slope_limiter.vertex_based_limiter.VertexBasedLimiter method) compute_point_cone_global_sizes() (in module firedrake.cython.dmcommon) condense() (firedrake.preconditioners.fdm.FDMPC method) (firedrake.preconditioners.fdm.PoissonFDMPC method) condense_and_forward_eliminate() (in module firedrake.slate.static_condensation.la_utils) condensed_system() (firedrake.slate.static_condensation.scpc.SCPC method) configure_patch() (firedrake.preconditioners.patch.PatchPC method) (firedrake.preconditioners.patch.PatchSNES method) configure_pmg() (firedrake.preconditioners.pmg.PMGPC method) (firedrake.preconditioners.pmg.PMGSNES method) Constant (class in firedrake.constant) constant_from_values() (in module firedrake.adjoint_utils.blocks.constant) constant_numbers (firedrake.tsfc_interface.KernelInfo attribute) constant_value() (firedrake.assign.CoefficientCollector method) ConstantAssignBlock (class in firedrake.adjoint_utils.blocks.constant) ConstantMixin (class in firedrake.adjoint_utils.constant) constants (firedrake.slate.slac.tsfc_driver.ContextKernel attribute) constants() (firedrake.slate.slate.AssembledVector method) (firedrake.slate.slate.Block method) (firedrake.slate.slate.Factorization method) (firedrake.slate.slate.Tensor method) ContextKernel (class in firedrake.slate.slac.tsfc_driver) continue_disk_checkpointing() (in module firedrake.adjoint_utils.checkpointing) ConvergenceError CoordinatelessFunction (class in firedrake.function) coordinates (firedrake.mesh.MeshGeometry property) coordinates_arg_name (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) coords() (firedrake.preconditioners.patch.PlaneSmoother static method) copy() (firedrake.cofunction.Cofunction method) (firedrake.function.CoordinatelessFunction method) (firedrake.function.Function method) (firedrake.vector.Vector method) count (firedrake.petsc.OptionsManager attribute) count() (firedrake.constant.Constant method) count_labelled_points() (in module firedrake.cython.dmcommon) create() (firedrake.functionspaceimpl.WithGeometryBase class method) create_cell_closure() (in module firedrake.cython.dmcommon) create_field_decomposition() (in module firedrake.dmhooks) create_group() (firedrake.checkpointing.CheckpointFile method) create_halo_exchange_sf() (in module firedrake.cython.dmcommon) create_lgmap() (in module firedrake.cython.mgimpl) create_matrix() (in module firedrake.dmhooks) create_section() (firedrake.mesh.AbstractMeshTopology method) (in module firedrake.cython.dmcommon) create_subdm() (in module firedrake.dmhooks) createSubMatrix() (firedrake.matrix_free.operators.ImplicitMatrixContext method) critical() (in module firedrake.logging) CrossMeshInterpolator (class in firedrake.interpolation) ctx_coarsener (class in firedrake.dmhooks) ctypes (firedrake.cython.spatialindex.SpatialIndex attribute) CubedSphereMesh() (in module firedrake.utility_meshes) CubeMesh() (in module firedrake.utility_meshes) custom_vjp() (in module firedrake.ml.jax.ml_operator) CylinderMesh() (in module firedrake.utility_meshes)

D

dat (firedrake.vector.Vector property) debug() (in module firedrake.logging) DEFAULT_EPS_PARAMETERS (firedrake.eigensolver.LinearEigensolver attribute) DEFAULT_KSP_PARAMETERS (firedrake.linear_solver.LinearSolver attribute) (firedrake.variational_solver.LinearVariationalSolver attribute) (firedrake.variational_solver.NonlinearVariationalSolver attribute) DEFAULT_MESH_NAME (in module firedrake.mesh) DEFAULT_SNES_PARAMETERS (firedrake.variational_solver.LinearVariationalSolver attribute) (firedrake.variational_solver.NonlinearVariationalSolver attribute) default_value (firedrake.fml.form_manipulation_language.Label attribute) depth_first_search() (in module firedrake.slate.slac.utils) derivative() (firedrake.adjoint.ensemble_reduced_functional.EnsembleReducedFunctional method) (in module firedrake.ufl_expr) dest_mesh (firedrake.interpolation.DofNotDefinedError attribute) destroy() (firedrake.preconditioners.asm.ASMPatchPC method) (firedrake.preconditioners.base.PCSNESBase method) (firedrake.preconditioners.facet_split.FacetSplitPC method) (firedrake.preconditioners.fdm.FDMPC method) (firedrake.preconditioners.pcd.PCDPC method) dg_injection_kernel() (in module firedrake.mg.kernels) DG_inv_mass() (firedrake.mg.embedded.TransferManager method) DG_work() (firedrake.mg.embedded.TransferManager method) diagonal (firedrake.slate.slate.DiagonalTensor attribute) DiagonalTensor (class in firedrake.slate.slate) dim() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) direct (in module firedrake.parloops) dirichlet_bcs() (firedrake.bcs.DirichletBC method) (firedrake.bcs.EquationBC method) (firedrake.eigensolver.LinearEigenproblem method) (firedrake.variational_solver.NonlinearVariationalProblem method)

DirichletBC (class in firedrake.bcs) DirichletBCBlock (class in firedrake.adjoint_utils.blocks.dirichlet_bc) DirichletBCMixin (class in firedrake.adjoint_utils.dirichletbc) disable_performance_optimisations() (in module firedrake.parameters) disk_checkpointing() (in module firedrake.adjoint_utils.checkpointing) DistributedMeshOverlapType (class in firedrake.mesh) division() (firedrake.assign.CoefficientCollector method) dm (firedrake.eigensolver.LinearEigenproblem property) (firedrake.functionspaceimpl.FunctionSpace property) (firedrake.functionspaceimpl.MixedFunctionSpace property) (firedrake.functionspaceimpl.WithGeometryBase property) (firedrake.variational_solver.NonlinearVariationalProblem property) dof_count (firedrake.functionspaceimpl.FunctionSpace property) (firedrake.functionspaceimpl.MixedFunctionSpace property) dof_dset (firedrake.function.CoordinatelessFunction property) (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace property) DofNotDefinedError domain_number (firedrake.tsfc_interface.KernelInfo attribute) domains (firedrake.slate.slac.kernel_builder.IndexCreator property) drop() (in module firedrake.fml.form_manipulation_language) drop_double_transpose() (in module firedrake.slate.slac.optimise) dual() (firedrake.functionspaceimpl.FiredrakeDualSpace method) (firedrake.functionspaceimpl.WithGeometry method) DumbCheckpoint (class in firedrake.checkpointing) duplicate() (firedrake.matrix_free.operators.ImplicitMatrixContext method) dX_norm_square() (in module firedrake.pointquery_utils)

E

eigenfunction() (firedrake.eigensolver.LinearEigensolver method) eigenvalue() (firedrake.eigensolver.LinearEigensolver method) enable_disk_checkpointing() (in module firedrake.adjoint_utils.checkpointing) Ensemble (class in firedrake.ensemble) EnsembleReducedFunctional (class in firedrake.adjoint.ensemble_reduced_functional) entity_closures() (in module firedrake.extrusion_utils) entity_indices() (in module firedrake.extrusion_utils) entity_layers() (firedrake.mesh.ExtrudedMeshTopology method) (in module firedrake.cython.extrusion_numbering) entity_node_map() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) entity_orientations (firedrake.mesh.AbstractMeshTopology property) (firedrake.mesh.ExtrudedMeshTopology property) (firedrake.mesh.MeshTopology property) (firedrake.mesh.VertexOnlyMeshTopology attribute) entity_orientations() (in module firedrake.cython.dmcommon) entity_reordering() (in module firedrake.extrusion_utils) equals() (firedrake.cofunction.Cofunction method) (firedrake.ufl_expr.Coargument method) EquationBC (class in firedrake.bcs) error() (in module firedrake.logging) errornorm() (in module firedrake.norms) evaluate() (firedrake.constant.Constant method) (firedrake.function.Function method) evaluate_adj_component() (firedrake.adjoint_utils.blocks.assembly.AssembleBlock method) (firedrake.adjoint_utils.blocks.constant.ConstantAssignBlock method) (firedrake.adjoint_utils.blocks.dirichlet_bc.DirichletBCBlock method) (firedrake.adjoint_utils.blocks.function.CofunctionAssignBlock method) (firedrake.adjoint_utils.blocks.function.FunctionAssignBlock method) (firedrake.adjoint_utils.blocks.function.FunctionMergeBlock method) (firedrake.adjoint_utils.blocks.function.SubfunctionBlock method) (firedrake.adjoint_utils.blocks.mesh.MeshInputBlock method) (firedrake.adjoint_utils.blocks.mesh.MeshOutputBlock method) (firedrake.adjoint_utils.blocks.solving.GenericSolveBlock method) (firedrake.adjoint_utils.blocks.solving.NonlinearVariationalSolveBlock method) (firedrake.adjoint_utils.blocks.solving.SupermeshProjectBlock method) evaluate_hessian_component() (firedrake.adjoint_utils.blocks.assembly.AssembleBlock method) (firedrake.adjoint_utils.blocks.constant.ConstantAssignBlock method) (firedrake.adjoint_utils.blocks.dirichlet_bc.DirichletBCBlock method) (firedrake.adjoint_utils.blocks.function.CofunctionAssignBlock method) (firedrake.adjoint_utils.blocks.function.FunctionAssignBlock method) (firedrake.adjoint_utils.blocks.function.FunctionMergeBlock method) (firedrake.adjoint_utils.blocks.function.SubfunctionBlock method) (firedrake.adjoint_utils.blocks.mesh.MeshInputBlock method) (firedrake.adjoint_utils.blocks.mesh.MeshOutputBlock method) (firedrake.adjoint_utils.blocks.solving.GenericSolveBlock method) (firedrake.adjoint_utils.blocks.solving.SupermeshProjectBlock method)

evaluate_tlm() (firedrake.adjoint_utils.blocks.function.FunctionMergeBlock method) evaluate_tlm_component() (firedrake.adjoint_utils.blocks.assembly.AssembleBlock method) (firedrake.adjoint_utils.blocks.constant.ConstantAssignBlock method) (firedrake.adjoint_utils.blocks.dirichlet_bc.DirichletBCBlock method) (firedrake.adjoint_utils.blocks.function.CofunctionAssignBlock method) (firedrake.adjoint_utils.blocks.function.FunctionAssignBlock method) (firedrake.adjoint_utils.blocks.function.SubfunctionBlock method) (firedrake.adjoint_utils.blocks.mesh.MeshInputBlock method) (firedrake.adjoint_utils.blocks.mesh.MeshOutputBlock method) (firedrake.adjoint_utils.blocks.solving.GenericSolveBlock method) (firedrake.adjoint_utils.blocks.solving.SupermeshProjectBlock method) events (firedrake.tsfc_interface.KernelInfo attribute) exchange_cell_orientations() (in module firedrake.cython.dmcommon) expr (firedrake.external_operators.point_expr_operator.PointexprOperator property) expr() (firedrake.assign.CoefficientCollector method) (firedrake.formmanipulation.ExtractSubBlock method) (firedrake.formmanipulation.ExtractSubBlock.IndexInliner method) (firedrake.slate.slac.utils.RemoveRestrictions method) expr_list() (firedrake.formmanipulation.ExtractSubBlock method) extent() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) exterior_facet_node_map (firedrake.ufl_expr.Argument property) (firedrake.ufl_expr.Coargument property) exterior_facet_node_map() (firedrake.constant.Constant method) (firedrake.function.CoordinatelessFunction method) (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) exterior_facets (firedrake.mesh.AbstractMeshTopology property) (firedrake.mesh.MeshTopology property) (firedrake.mesh.VertexOnlyMeshTopology property) extract_bc_subvector() (in module firedrake.adjoint_utils.blocks.dirichlet_bc) extract_form() (firedrake.bcs.DirichletBC method) (firedrake.bcs.EquationBC method) extract_numbered_coefficients() (in module firedrake.tsfc_interface) extract_subfunction() (in module firedrake.adjoint_utils.blocks.solving) ExtractSubBlock (class in firedrake.formmanipulation) ExtractSubBlock.IndexInliner (class in firedrake.formmanipulation) extruded_periodic (firedrake.mesh.AbstractMeshTopology property) ExtrudedMesh() (in module firedrake.mesh) ExtrudedMeshHierarchy() (in module firedrake.mg.mesh) ExtrudedMeshTopology (class in firedrake.mesh)

F

FACET (firedrake.mesh.DistributedMeshOverlapType attribute) facet_closure_nodes() (in module firedrake.cython.dmcommon) (in module firedrake.cython.extrusion_numbering) facet_dimension() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.ExtrudedMeshTopology method) facet_integral_predicates() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) facet_numbering() (in module firedrake.cython.dmcommon) FacetNormal() (in module firedrake.ufl_expr) FacetSplitPC (class in firedrake.preconditioners.facet_split) Factorization (class in firedrake.slate.slate) FDMPC (class in firedrake.preconditioners.fdm) fem_operator() (in module firedrake.ml.jax.fem_operator) (in module firedrake.ml.pytorch.fem_operator) field_idx (firedrake.slate.static_condensation.la_utils.LAContext attribute) FILE_CREATE (in module firedrake.checkpointing) FILE_READ (in module firedrake.checkpointing) FILE_UPDATE (in module firedrake.checkpointing) filter_labels() (in module firedrake.cython.mgimpl) finat_element (firedrake.functionspaceimpl.RealFunctionSpace attribute) fine_node_to_coarse_node_map() (in module firedrake.mg.utils) fine_to_coarse_nodes() (in module firedrake.cython.mgimpl) firedrake module firedrake.adjoint module firedrake.adjoint.ensemble_reduced_functional module firedrake.adjoint.ufl_constraints module firedrake.adjoint_utils module firedrake.adjoint_utils.assembly module firedrake.adjoint_utils.blocks module firedrake.adjoint_utils.blocks.assembly module firedrake.adjoint_utils.blocks.block_utils module firedrake.adjoint_utils.blocks.constant module firedrake.adjoint_utils.blocks.dirichlet_bc module firedrake.adjoint_utils.blocks.function module firedrake.adjoint_utils.blocks.mesh module firedrake.adjoint_utils.blocks.solving module firedrake.adjoint_utils.checkpointing module firedrake.adjoint_utils.constant module firedrake.adjoint_utils.dirichletbc module firedrake.adjoint_utils.function module firedrake.adjoint_utils.mesh module firedrake.adjoint_utils.projection module firedrake.adjoint_utils.solving module firedrake.adjoint_utils.variational_solver module firedrake.assemble module firedrake.assign module firedrake.bcs module firedrake.checkpointing module firedrake.cofunction module firedrake.constant module firedrake.cython module firedrake.cython.dmcommon module firedrake.cython.extrusion_numbering module firedrake.cython.hdf5interface module firedrake.cython.mgimpl module firedrake.cython.patchimpl module firedrake.cython.spatialindex module firedrake.cython.supermeshimpl module firedrake.dmhooks module firedrake.eigensolver module firedrake.embedding module firedrake.ensemble module firedrake.exceptions module firedrake.external_operators module firedrake.external_operators.abstract_external_operators module firedrake.external_operators.ml_operator module firedrake.external_operators.point_expr_operator module firedrake.extrusion_utils module firedrake.fml module firedrake.fml.form_manipulation_language module firedrake.fml.replacement module firedrake.formmanipulation module firedrake.function module firedrake.functionspace module firedrake.functionspacedata module firedrake.functionspaceimpl module firedrake.halo module firedrake.interpolation module firedrake.linear_solver module firedrake.logging module firedrake.matrix module firedrake.matrix_free module firedrake.matrix_free.operators module firedrake.mesh module firedrake.mg module firedrake.mg.embedded module firedrake.mg.interface module firedrake.mg.kernels module firedrake.mg.mesh module firedrake.mg.opencascade_mh module firedrake.mg.ufl_utils module firedrake.mg.utils module firedrake.ml module firedrake.ml.jax module firedrake.ml.jax.fem_operator module firedrake.ml.jax.ml_operator module firedrake.ml.pytorch module

firedrake.ml.pytorch.fem_operator module firedrake.ml.pytorch.ml_operator module firedrake.norms module firedrake.nullspace module firedrake.optimizer module firedrake.output module firedrake.output.paraview_reordering module firedrake.output.vtk_output module firedrake.output.vtk_unavailable module firedrake.parameters module firedrake.parloops module firedrake.petsc module firedrake.pointeval_utils module firedrake.pointquery_utils module firedrake.preconditioners module firedrake.preconditioners.asm module firedrake.preconditioners.assembled module firedrake.preconditioners.base module firedrake.preconditioners.facet_split module firedrake.preconditioners.fdm module firedrake.preconditioners.gtmg module firedrake.preconditioners.hiptmair module firedrake.preconditioners.hypre_ads module firedrake.preconditioners.hypre_ams module firedrake.preconditioners.low_order module firedrake.preconditioners.massinv module firedrake.preconditioners.patch module firedrake.preconditioners.pcd module firedrake.preconditioners.pmg module firedrake.progress_bar module firedrake.projection module firedrake.pyplot module firedrake.pyplot.mpl module firedrake.pyplot.pgf module firedrake.randomfunctiongen module firedrake.slate module firedrake.slate.slac module firedrake.slate.slac.compiler module firedrake.slate.slac.kernel_builder module firedrake.slate.slac.optimise module firedrake.slate.slac.tsfc_driver module firedrake.slate.slac.utils module firedrake.slate.slate module firedrake.slate.static_condensation module firedrake.slate.static_condensation.hybridization module firedrake.slate.static_condensation.la_utils module firedrake.slate.static_condensation.sc_base module firedrake.slate.static_condensation.scpc module firedrake.slope_limiter module firedrake.slope_limiter.limiter module firedrake.slope_limiter.vertex_based_limiter module firedrake.solving module firedrake.solving_utils module firedrake.supermeshing module firedrake.tsfc_interface module firedrake.ufl_expr module firedrake.utility_meshes module firedrake.utils module firedrake.variational_solver module firedrake.vector module firedrake.version module firedrake_citations module FiredrakeDualSpace (class in firedrake.functionspaceimpl) FiredrakeJaxOperator (class in firedrake.ml.jax.fem_operator) FiredrakeTorchOperator (class in firedrake.ml.pytorch.fem_operator) flat_entity_dofs() (in module firedrake.extrusion_utils) flat_entity_permutations() (in module firedrake.extrusion_utils) flip() (in module firedrake.slate.slac.optimise) float_value() (firedrake.assign.CoefficientCollector method) flush() (firedrake.checkpointing.HDF5File method) form (firedrake.fml.form_manipulation_language.LabelledForm property) (firedrake.fml.form_manipulation_language.Term attribute) (firedrake.formmanipulation.SplitForm attribute) (firedrake.slate.slate.AssembledVector property) (firedrake.slate.slate.Block property) (firedrake.slate.slate.BlockAssembledVector property) form() (firedrake.preconditioners.base.PCSNESBase method) (firedrake.preconditioners.massinv.MassInvPC method) FORWARD (firedrake.adjoint_utils.blocks.solving.Solver attribute) forward (firedrake.ml.jax.fem_operator.FiredrakeJaxOperator attribute) forward() (firedrake.ml.pytorch.fem_operator.FiredrakeTorchOperator static method) forward_elimination() (firedrake.slate.static_condensation.hybridization.HybridizationPC method) (firedrake.slate.static_condensation.sc_base.SCBase method) (firedrake.slate.static_condensation.scpc.SCPC method) from_jax() (in module firedrake.ml.jax.fem_operator) from_regions() (in module firedrake.cython.spatialindex) from_torch() (in module firedrake.ml.pytorch.fem_operator) Function (class in firedrake.function) function() (firedrake.adjoint.ufl_constraints.UFLConstraint method) function_arg (firedrake.bcs.DirichletBC property) function_space() (firedrake.cofunction.Cofunction method) (firedrake.constant.Constant method) (firedrake.external_operators.abstract_external_operators.AbstractExternalOperator method) (firedrake.function.CoordinatelessFunction method) (firedrake.function.Function method) (firedrake.interpolation.Interpolate method) (firedrake.ufl_expr.Argument method) (firedrake.ufl_expr.Coargument method) FunctionAssignBlock (class in firedrake.adjoint_utils.blocks.function) FunctionMergeBlock (class in firedrake.adjoint_utils.blocks.function) FunctionMixin (class in firedrake.adjoint_utils.function) FunctionPlotter (class in firedrake.pyplot) (class in firedrake.pyplot.mpl) FunctionSpace (class in firedrake.functionspaceimpl) FunctionSpace() (in module firedrake.functionspace) FunctionSpaceCargo (class in firedrake.functionspaceimpl) fwd() (firedrake.ml.jax.fem_operator.FiredrakeJaxOperator method)

G

gather() (firedrake.vector.Vector method) gather_integer_subdomain_ids() (in module firedrake.tsfc_interface) generate_lhs() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) generate_tsfc_calls() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) generate_wrapper_kernel_args() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) GenericSolveBlock (class in firedrake.adjoint_utils.blocks.solving) get() (firedrake.fml.form_manipulation_language.Term method) get_appctx() (firedrake.preconditioners.base.PCSNESBase static method) (in module firedrake.dmhooks) get_attr() (firedrake.checkpointing.CheckpointFile method) (in module firedrake.dmhooks) get_attr_byte_string() (firedrake.checkpointing.CheckpointFile method) get_cell_markers() (in module firedrake.cython.dmcommon) get_cell_nodes() (in module firedrake.cython.dmcommon) get_cell_remote_ranks() (in module firedrake.cython.dmcommon) get_ctx_coarsener() (in module firedrake.dmhooks) get_derivative() (firedrake.adjoint_utils.constant.ConstantMixin method) get_embedding_dg_element() (in module firedrake.embedding) get_embedding_element_for_checkpointing() (in module firedrake.embedding) get_embedding_method_for_checkpointing() (in module firedrake.embedding) get_entity_classes() (in module firedrake.cython.dmcommon) get_entity_renumbering() (in module firedrake.cython.mgimpl) get_external_packages() (in module firedrake.petsc) get_facet_nodes() (in module firedrake.cython.dmcommon) get_facet_ordering() (in module firedrake.cython.dmcommon) get_facets_by_class() (in module firedrake.cython.dmcommon) get_function_space() (in module firedrake.dmhooks)

get_h5py_file() (in module firedrake.cython.hdf5interface) get_indices() (firedrake.preconditioners.facet_split.FacetSplitPC method) get_level() (in module firedrake.mg.utils) get_local() (firedrake.vector.Vector method) get_parent() (in module firedrake.dmhooks) get_patches() (firedrake.preconditioners.asm.ASMExtrudedStarPC method) (firedrake.preconditioners.asm.ASMLinesmoothPC method) (firedrake.preconditioners.asm.ASMPatchPC method) (firedrake.preconditioners.asm.ASMStarPC method) (firedrake.preconditioners.asm.ASMVankaPC method) get_petsc_variables() (in module firedrake.petsc) get_petscconf_h() (in module firedrake.petsc) get_shared_data() (in module firedrake.functionspacedata) get_solve_blocks() (in module firedrake.adjoint_utils.solving) get_timestamps() (firedrake.checkpointing.HDF5File method) get_timestepping_history() (firedrake.checkpointing.CheckpointFile method) get_timesteps() (firedrake.checkpointing.DumbCheckpoint method) get_topological_dimension() (in module firedrake.cython.dmcommon) get_transfer_manager() (in module firedrake.dmhooks) get_work_function() (firedrake.functionspaceimpl.WithGeometryBase method) getDiagonal() (firedrake.matrix_free.operators.ImplicitMatrixContext method) getInfo() (firedrake.matrix_free.operators.ImplicitMatrixContext method) getSchurComplementBuilder() (firedrake.slate.static_condensation.hybridization.HybridizationPC method) global_numbering (firedrake.functionspaceimpl.RealFunctionSpace attribute) global_to_local_begin() (firedrake.halo.Halo method) global_to_local_end() (firedrake.halo.Halo method) GTMGPC (class in firedrake.preconditioners.gtmg)

H

h5file (firedrake.checkpointing.DumbCheckpoint property) h5pyfile (firedrake.checkpointing.CheckpointFile property) Halo (class in firedrake.halo) has_attr() (firedrake.checkpointing.CheckpointFile method) has_attribute() (firedrake.checkpointing.DumbCheckpoint method) has_bcs (firedrake.matrix.MatrixBase property) has_label() (firedrake.fml.form_manipulation_language.Term method) has_level() (in module firedrake.mg.utils) HDF5File (class in firedrake.checkpointing)

hessian() (firedrake.adjoint.ensemble_reduced_functional.EnsembleReducedFunctional method) hessian_action() (firedrake.adjoint.ufl_constraints.UFLConstraint method) HierarchyBase (class in firedrake.mg.mesh) HiptmairPC (class in firedrake.preconditioners.hiptmair) homogenize() (firedrake.bcs.DirichletBC method) (in module firedrake.bcs) HybridizationPC (class in firedrake.slate.static_condensation.hybridization) HypreADS (class in firedrake.preconditioners.hypre_ads) HypreAMS (class in firedrake.preconditioners.hypre_ams)

I

IAddAssigner (class in firedrake.assign) iallreduce() (firedrake.ensemble.Ensemble method) ibcast() (firedrake.ensemble.Ensemble method) IcosahedralSphereMesh() (in module firedrake.utility_meshes) identifier (firedrake.functionspaceimpl.ProxyFunctionSpace attribute) (firedrake.functionspaceimpl.ProxyRestrictedFunctionSpace attribute) identity() (in module firedrake.fml.form_manipulation_language) IDivAssigner (class in firedrake.assign) ImplicitMatrix (class in firedrake.matrix) ImplicitMatrixContext (class in firedrake.matrix_free.operators) IMulAssigner (class in firedrake.assign) index (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) index_inliner (firedrake.formmanipulation.ExtractSubBlock attribute) IndexCreator (class in firedrake.slate.slac.kernel_builder) indexed() (firedrake.assign.CoefficientCollector method) (firedrake.formmanipulation.ExtractSubBlock.IndexInliner method) IndexedFunctionSpace() (in module firedrake.functionspaceimpl) indices (firedrake.formmanipulation.SplitForm attribute) (firedrake.tsfc_interface.SplitKernel attribute) info() (in module firedrake.logging) info_blue() (in module firedrake.logging) info_green() (in module firedrake.logging) info_red() (in module firedrake.logging) init() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.MeshGeometry method) init_cell_orientations() (firedrake.mesh.MeshGeometry method) init_X() (in module firedrake.pointquery_utils) initialise_terminals() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) initialize() (firedrake.preconditioners.asm.ASMPatchPC method) (firedrake.preconditioners.assembled.AssembledPC method) (firedrake.preconditioners.base.PCSNESBase method) (firedrake.preconditioners.facet_split.FacetSplitPC method) (firedrake.preconditioners.fdm.FDMPC method) (firedrake.preconditioners.gtmg.GTMGPC method) (firedrake.preconditioners.hiptmair.TwoLevelPC method) (firedrake.preconditioners.hypre_ads.HypreADS method) (firedrake.preconditioners.hypre_ams.HypreAMS method) (firedrake.preconditioners.pcd.PCDPC method) (firedrake.slate.static_condensation.hybridization.HybridizationPC method) (firedrake.slate.static_condensation.scpc.SCPC method) inject() (firedrake.mg.embedded.TransferManager method) (in module firedrake.mg.interface) inject_kernel() (in module firedrake.mg.kernels) inner() (firedrake.vector.Vector method)

input_ordering (firedrake.mesh.MeshGeometry property) (firedrake.mesh.VertexOnlyMeshTopology property) input_ordering_sf (firedrake.mesh.VertexOnlyMeshTopology property) input_ordering_without_halos_sf (firedrake.mesh.VertexOnlyMeshTopology property) inputs_format (firedrake.external_operators.ml_operator.MLOperator property) inserted_options() (firedrake.petsc.OptionsManager method) inside_check() (in module firedrake.pointquery_utils) int_value() (firedrake.assign.CoefficientCollector method) integral_type (firedrake.tsfc_interface.KernelInfo attribute) integrals (firedrake.slate.slate.AssembledVector property) integrals() (firedrake.bcs.DirichletBC method) interior_facet_node_map (firedrake.ufl_expr.Argument property) (firedrake.ufl_expr.Coargument property) interior_facet_node_map() (firedrake.constant.Constant method) (firedrake.function.CoordinatelessFunction method) (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) interior_facets (firedrake.mesh.AbstractMeshTopology property) (firedrake.mesh.MeshTopology property) (firedrake.mesh.VertexOnlyMeshTopology property) Interpolate (class in firedrake.interpolation) interpolate() (firedrake.cofunction.Cofunction method) (firedrake.function.Function method) (firedrake.interpolation.Interpolator method) (in module firedrake.interpolation) Interpolator (class in firedrake.interpolation) intersection_finder() (in module firedrake.cython.supermeshimpl) (in module firedrake.supermeshing) IntervalMesh() (in module firedrake.utility_meshes) inv() (firedrake.slate.static_condensation.hybridization.SchurComplementBuilder method) (firedrake.slate.static_condensation.la_utils.SchurComplementBuilder method) invalidate_jacobian() (firedrake.variational_solver.LinearVariationalSolver method) Inverse (class in firedrake.slate.slate) irecv() (firedrake.ensemble.Ensemble method) ireduce() (firedrake.ensemble.Ensemble method) is_affine() (in module firedrake.pointquery_utils) is_integral_type() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) is_native() (firedrake.mg.embedded.TransferManager method) is_orthogonal() (firedrake.nullspace.VectorSpaceBasis method) is_orthonormal() (firedrake.nullspace.VectorSpaceBasis method) is_real_tensor_product_element() (in module firedrake.extrusion_utils) isconstant() (in module firedrake.adjoint_utils.blocks.block_utils) isend() (firedrake.ensemble.Ensemble method) isendrecv() (firedrake.ensemble.Ensemble method) ISubAssigner (class in firedrake.assign)

J

jacobian() (firedrake.adjoint.ufl_constraints.UFLConstraint method) jacobian_action() (firedrake.adjoint.ufl_constraints.UFLConstraint method)

jacobian_adjoint_action() (firedrake.adjoint.ufl_constraints.UFLConstraint method) JaxOperator (class in firedrake.ml.jax.ml_operator)

K

keep() (in module firedrake.fml.form_manipulation_language) kernel (firedrake.tsfc_interface.KernelInfo attribute)

KernelInfo (class in firedrake.tsfc_interface) kinfo (firedrake.tsfc_interface.SplitKernel attribute) known_pyop2_safe() (in module firedrake.utils)

L

Label (class in firedrake.fml.form_manipulation_language) label (firedrake.fml.form_manipulation_language.Label attribute) label() (firedrake.cofunction.Cofunction method) (firedrake.function.CoordinatelessFunction method) (firedrake.functionspaceimpl.FunctionSpace method) label_facets() (in module firedrake.cython.dmcommon) label_map() (firedrake.fml.form_manipulation_language.LabelledForm method) LabelledForm (class in firedrake.fml.form_manipulation_language) labels (firedrake.fml.form_manipulation_language.Term attribute) LAContext (class in firedrake.slate.static_condensation.la_utils) latest_version (firedrake.checkpointing.CheckpointFile attribute) layer_arg_name (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) layer_count_name (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) layer_extents (firedrake.mesh.ExtrudedMeshTopology attribute) layer_extents() (in module firedrake.cython.extrusion_numbering) layer_integral_predicates() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) LayerCountKernelArg (class in firedrake.slate.slac.kernel_builder) layers (firedrake.mesh.AbstractMeshTopology attribute) (firedrake.mesh.ExtrudedMeshTopology property) lhs (firedrake.slate.static_condensation.la_utils.LAContext attribute) Limiter (class in firedrake.slope_limiter.limiter) LinearEigenproblem (class in firedrake.eigensolver) LinearEigensolver (class in firedrake.eigensolver) LinearSolver (class in firedrake.linear_solver)

LinearVariationalProblem (class in firedrake.variational_solver) LinearVariationalSolver (class in firedrake.variational_solver) load() (firedrake.checkpointing.DumbCheckpoint method) load_function() (firedrake.checkpointing.CheckpointFile method) load_mesh() (firedrake.checkpointing.CheckpointFile method) local_facet_array_arg_name (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) local_range() (firedrake.vector.Vector method) local_size() (firedrake.vector.Vector method) local_solver_calls() (firedrake.slate.static_condensation.scpc.SCPC method) local_temp (firedrake.slate.slac.kernel_builder.CoefficientInfo attribute) local_to_global_begin() (firedrake.halo.Halo method) local_to_global_end() (firedrake.halo.Halo method) local_to_global_map() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) (firedrake.functionspaceimpl.RestrictedFunctionSpace method) local_to_global_numbering (firedrake.halo.Halo property) LocalLoopyKernelBuilder (class in firedrake.slate.slac.kernel_builder) locate_cell() (firedrake.mesh.MeshGeometry method) locate_cell_and_reference_coordinate() (firedrake.mesh.MeshGeometry method) locate_cells_ref_coords_and_dists() (firedrake.mesh.MeshGeometry method) locate_reference_coordinate() (firedrake.mesh.MeshGeometry method) log() (in module firedrake.logging) loopify_tsfc_kernel_data() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) LORPC (class in firedrake.preconditioners.low_order)

M

MacroKernelBuilder (class in firedrake.mg.kernels) make_args() (in module firedrake.pointquery_utils) make_cell_node_list() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.ExtrudedMeshTopology method) make_dat() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.ProxyFunctionSpace method) (firedrake.functionspaceimpl.ProxyRestrictedFunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) (firedrake.ufl_expr.Argument method) (firedrake.ufl_expr.Coargument method) make_dof_dset() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) make_dofs_per_plex_entity() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.ExtrudedMeshTopology method) make_extruded_coords() (in module firedrake.extrusion_utils) make_function_space() (firedrake.functionspaceimpl.WithGeometryBase class method) make_global_numbering() (in module firedrake.cython.dmcommon) make_offset() (firedrake.mesh.AbstractMeshTopology method) make_offset_key() (in module firedrake.extrusion_utils) make_wrapper() (in module firedrake.pointquery_utils) mark_entities() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.ExtrudedMeshTopology method) (firedrake.mesh.MeshGeometry method) (firedrake.mesh.MeshTopology method) (firedrake.mesh.VertexOnlyMeshTopology method) mark_entity_classes() (in module firedrake.cython.dmcommon) mark_entity_classes_using_cell_dm() (in module firedrake.cython.dmcommon) mark_points_with_function_array() (in module firedrake.cython.dmcommon) MassInvPC (class in firedrake.preconditioners.massinv) mat() (firedrake.matrix.AssembledMatrix method) mat_type (firedrake.matrix.MatrixBase attribute) Matrix (class in firedrake.matrix) MatrixBase (class in firedrake.matrix) max() (firedrake.vector.Vector method) max_work_functions (firedrake.functionspaceimpl.WithGeometryBase property) measure_set() (firedrake.mesh.AbstractMeshTopology method) merge_loopy() (in module firedrake.slate.slac.utils) mesh() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.WithGeometryBase method) Mesh() (in module firedrake.mesh) MeshGeometry (class in firedrake.mesh) MeshGeometryMixin (class in firedrake.adjoint_utils.mesh) MeshHierarchy() (in module firedrake.mg.mesh) MeshInputBlock (class in firedrake.adjoint_utils.blocks.mesh) MeshOutputBlock (class in firedrake.adjoint_utils.blocks.mesh) MeshTopology (class in firedrake.mesh) missingDiagonal() (firedrake.matrix_free.operators.ImplicitMatrixContext method) MixedFunctionSpace (class in firedrake.functionspaceimpl) MixedFunctionSpace() (in module firedrake.functionspace) MixedVectorSpaceBasis (class in firedrake.nullspace) ml_operator() (in module firedrake.ml.jax.ml_operator) (in module firedrake.ml.pytorch.ml_operator) MLOperator (class in firedrake.external_operators.ml_operator) model (firedrake.external_operators.ml_operator.MLOperator property) model_output (firedrake.ml.pytorch.ml_operator.PytorchOperator property) module firedrake firedrake.adjoint firedrake.adjoint.ensemble_reduced_functional firedrake.adjoint.ufl_constraints firedrake.adjoint_utils firedrake.adjoint_utils.assembly firedrake.adjoint_utils.blocks firedrake.adjoint_utils.blocks.assembly firedrake.adjoint_utils.blocks.block_utils firedrake.adjoint_utils.blocks.constant firedrake.adjoint_utils.blocks.dirichlet_bc firedrake.adjoint_utils.blocks.function firedrake.adjoint_utils.blocks.mesh firedrake.adjoint_utils.blocks.solving firedrake.adjoint_utils.checkpointing firedrake.adjoint_utils.constant firedrake.adjoint_utils.dirichletbc firedrake.adjoint_utils.function firedrake.adjoint_utils.mesh firedrake.adjoint_utils.projection firedrake.adjoint_utils.solving firedrake.adjoint_utils.variational_solver firedrake.assemble firedrake.assign firedrake.bcs firedrake.checkpointing firedrake.cofunction firedrake.constant firedrake.cython firedrake.cython.dmcommon firedrake.cython.extrusion_numbering firedrake.cython.hdf5interface firedrake.cython.mgimpl firedrake.cython.patchimpl firedrake.cython.spatialindex firedrake.cython.supermeshimpl firedrake.dmhooks firedrake.eigensolver firedrake.embedding firedrake.ensemble firedrake.exceptions firedrake.external_operators firedrake.external_operators.abstract_external_operators firedrake.external_operators.ml_operator firedrake.external_operators.point_expr_operator firedrake.extrusion_utils firedrake.fml firedrake.fml.form_manipulation_language firedrake.fml.replacement firedrake.formmanipulation firedrake.function firedrake.functionspace firedrake.functionspacedata firedrake.functionspaceimpl firedrake.halo firedrake.interpolation firedrake.linear_solver firedrake.logging firedrake.matrix firedrake.matrix_free firedrake.matrix_free.operators firedrake.mesh firedrake.mg firedrake.mg.embedded firedrake.mg.interface firedrake.mg.kernels firedrake.mg.mesh firedrake.mg.opencascade_mh firedrake.mg.ufl_utils firedrake.mg.utils firedrake.ml firedrake.ml.jax firedrake.ml.jax.fem_operator firedrake.ml.jax.ml_operator firedrake.ml.pytorch firedrake.ml.pytorch.fem_operator firedrake.ml.pytorch.ml_operator firedrake.norms firedrake.nullspace firedrake.optimizer firedrake.output firedrake.output.paraview_reordering firedrake.output.vtk_output firedrake.output.vtk_unavailable firedrake.parameters firedrake.parloops firedrake.petsc firedrake.pointeval_utils firedrake.pointquery_utils firedrake.preconditioners firedrake.preconditioners.asm firedrake.preconditioners.assembled firedrake.preconditioners.base firedrake.preconditioners.facet_split firedrake.preconditioners.fdm firedrake.preconditioners.gtmg firedrake.preconditioners.hiptmair firedrake.preconditioners.hypre_ads firedrake.preconditioners.hypre_ams firedrake.preconditioners.low_order firedrake.preconditioners.massinv firedrake.preconditioners.patch firedrake.preconditioners.pcd firedrake.preconditioners.pmg firedrake.progress_bar firedrake.projection firedrake.pyplot firedrake.pyplot.mpl firedrake.pyplot.pgf firedrake.randomfunctiongen firedrake.slate firedrake.slate.slac firedrake.slate.slac.compiler firedrake.slate.slac.kernel_builder firedrake.slate.slac.optimise firedrake.slate.slac.tsfc_driver firedrake.slate.slac.utils firedrake.slate.slate firedrake.slate.static_condensation firedrake.slate.static_condensation.hybridization firedrake.slate.static_condensation.la_utils firedrake.slate.static_condensation.sc_base firedrake.slate.static_condensation.scpc firedrake.slope_limiter firedrake.slope_limiter.limiter firedrake.slope_limiter.vertex_based_limiter firedrake.solving firedrake.solving_utils firedrake.supermeshing firedrake.tsfc_interface firedrake.ufl_expr firedrake.utility_meshes firedrake.utils firedrake.variational_solver firedrake.vector firedrake.version firedrake_citations

mpi_comm() (firedrake.mesh.AbstractMeshTopology method) Mul (class in firedrake.slate.slate) mult() (firedrake.matrix_free.operators.ImplicitMatrixContext method) multi_index() (firedrake.assign.CoefficientCollector method) (firedrake.formmanipulation.ExtractSubBlock method) (firedrake.formmanipulation.ExtractSubBlock.IndexInliner method) multTranspose() (firedrake.matrix_free.operators.ImplicitMatrixContext method)

N

n_missing_points (firedrake.mesh.VertexOnlyMeshMissingPointsError attribute) name (firedrake.functionspaceimpl.FunctionSpace attribute) name() (firedrake.cofunction.Cofunction method) (firedrake.function.CoordinatelessFunction method) (firedrake.parameters.Parameters method) needs_cell_facets (firedrake.tsfc_interface.KernelInfo attribute) needs_cell_sizes (firedrake.tsfc_interface.KernelInfo attribute) needs_python_amat (firedrake.preconditioners.base.PCBase attribute) needs_python_pmat (firedrake.preconditioners.base.PCBase attribute) (firedrake.preconditioners.facet_split.FacetSplitPC attribute) (firedrake.preconditioners.gtmg.GTMGPC attribute) (firedrake.preconditioners.pcd.PCDPC attribute) (firedrake.slate.static_condensation.hybridization.HybridizationPC attribute) (firedrake.slate.static_condensation.scpc.SCPC attribute) Negative (class in firedrake.slate.slate) neuralnet() (in module firedrake.ml.pytorch.ml_operator) new_file() (firedrake.checkpointing.DumbCheckpoint method) new_snes_ctx() (firedrake.preconditioners.base.PCSNESBase static method) no_dats (firedrake.functionspaceimpl.ProxyFunctionSpace attribute) (firedrake.functionspaceimpl.ProxyRestrictedFunctionSpace attribute) node_classes() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.ExtrudedMeshTopology method) (in module firedrake.cython.extrusion_numbering) node_count (firedrake.functionspaceimpl.FunctionSpace property) (firedrake.functionspaceimpl.MixedFunctionSpace property) node_set (firedrake.cofunction.Cofunction property) (firedrake.function.CoordinatelessFunction property) (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace property)

NONE (firedrake.mesh.DistributedMeshOverlapType attribute) NonlinearVariationalProblem (class in firedrake.variational_solver) NonlinearVariationalProblemMixin (class in firedrake.adjoint_utils.variational_solver) NonlinearVariationalSolveBlock (class in firedrake.adjoint_utils.blocks.solving) NonlinearVariationalSolver (class in firedrake.variational_solver) NonlinearVariationalSolverMixin (class in firedrake.adjoint_utils.variational_solver) NonNestedHierarchy() (in module firedrake.mg.mesh) norm() (in module firedrake.norms) nullspace() (firedrake.nullspace.VectorSpaceBasis method) num_cells() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.MeshTopology method) (firedrake.mesh.VertexOnlyMeshTopology method) num_edges() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.MeshTopology method) (firedrake.mesh.VertexOnlyMeshTopology method) num_entities() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.MeshTopology method) (firedrake.mesh.VertexOnlyMeshTopology method) num_faces() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.MeshTopology method) (firedrake.mesh.VertexOnlyMeshTopology method) num_facets() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.MeshTopology method) (firedrake.mesh.VertexOnlyMeshTopology method) num_sub_spaces() (firedrake.functionspaceimpl.MixedFunctionSpace method) num_vertices() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.MeshTopology method) (firedrake.mesh.VertexOnlyMeshTopology method) num_work_functions (firedrake.functionspaceimpl.WithGeometryBase property)

O

OctahedralSphereMesh() (in module firedrake.utility_meshes) offset_index (firedrake.slate.slac.kernel_builder.CoefficientInfo attribute) on_diag (firedrake.matrix_free.operators.ImplicitMatrixContext attribute) op() (firedrake.mg.embedded.TransferManager method) OpenCascadeMeshHierarchy() (in module firedrake.mg.opencascade_mh) operands (firedrake.slate.slate.AssembledVector attribute) (firedrake.slate.slate.Tensor attribute) optimise() (in module firedrake.slate.slac.optimise) options_object (firedrake.petsc.OptionsManager attribute)

OptionsManager (class in firedrake.petsc) opts (firedrake.checkpointing.CheckpointFile attribute) orientations_facet2cell() (in module firedrake.cython.dmcommon) oriented (firedrake.mg.kernels.MacroKernelBuilder attribute) (firedrake.tsfc_interface.KernelInfo attribute) original_integral_type (firedrake.slate.slac.tsfc_driver.ContextKernel attribute) orthogonalize() (firedrake.nullspace.VectorSpaceBasis method) orthonormalize() (firedrake.nullspace.VectorSpaceBasis method) output_workspace() (firedrake.adjoint.ufl_constraints.UFLConstraint method)

P

P1PC (class in firedrake.preconditioners.low_order) P1SNES (class in firedrake.preconditioners.low_order) par_loop() (in module firedrake.parloops) Parameters (class in firedrake.parameters) parameters (in module firedrake.parameters) parent (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.FunctionSpaceCargo attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) (firedrake.functionspaceimpl.WithGeometryBase property) pass_layer_arg (firedrake.tsfc_interface.KernelInfo attribute) PatchPC (class in firedrake.preconditioners.patch) PatchSNES (class in firedrake.preconditioners.patch) pause_disk_checkpointing() (in module firedrake.adjoint_utils.checkpointing) PCBase (class in firedrake.preconditioners.base) PCDPC (class in firedrake.preconditioners.pcd) PCSNESBase (class in firedrake.preconditioners.base) PeriodicBoxMesh() (in module firedrake.utility_meshes) PeriodicIntervalMesh() (in module firedrake.utility_meshes) PeriodicRectangleMesh() (in module firedrake.utility_meshes) PeriodicSquareMesh() (in module firedrake.utility_meshes) PeriodicUnitCubeMesh() (in module firedrake.utility_meshes) PeriodicUnitIntervalMesh() (in module firedrake.utility_meshes) PeriodicUnitSquareMesh() (in module firedrake.utility_meshes) pgfplot() (in module firedrake.pyplot) (in module firedrake.pyplot.pgf) physical_node_locations() (in module firedrake.mg.utils) pick_op (firedrake.slate.slac.optimise.ActionBag attribute) PlaneSmoother (class in firedrake.preconditioners.patch) plex_renumbering() (in module firedrake.cython.dmcommon) plot() (in module firedrake.pyplot) (in module firedrake.pyplot.mpl) PMGPC (class in firedrake.preconditioners.pmg) PMGSNES (class in firedrake.preconditioners.pmg) point_expr() (in module firedrake.external_operators.point_expr_operator) PointexprOperator (class in firedrake.external_operators.point_expr_operator) PointNotInDomainError PoissonFDMPC (class in firedrake.preconditioners.fdm) pop_appctx() (in module firedrake.dmhooks) pop_attr() (in module firedrake.dmhooks) pop_ctx_coarsener() (in module firedrake.dmhooks) pop_kwargs_keys (firedrake.adjoint_utils.blocks.solving.GenericSolveBlock attribute) pop_parent() (in module firedrake.dmhooks) positive_restricted() (firedrake.slate.slac.utils.RemoveRestrictions method) power() (firedrake.assign.CoefficientCollector method)

prec (firedrake.slate.slate.Add attribute) (firedrake.slate.slate.AssembledVector attribute) (firedrake.slate.slate.Block attribute) (firedrake.slate.slate.DiagonalTensor attribute) (firedrake.slate.slate.Factorization attribute) (firedrake.slate.slate.Mul attribute) (firedrake.slate.slate.Reciprocal attribute) (firedrake.slate.slate.Solve attribute) (firedrake.slate.slate.Tensor attribute) prepare_evaluate_adj() (firedrake.adjoint_utils.blocks.assembly.AssembleBlock method) (firedrake.adjoint_utils.blocks.constant.ConstantAssignBlock method) (firedrake.adjoint_utils.blocks.function.FunctionAssignBlock method) (firedrake.adjoint_utils.blocks.solving.GenericSolveBlock method) (firedrake.adjoint_utils.blocks.solving.NonlinearVariationalSolveBlock method) prepare_evaluate_hessian() (firedrake.adjoint_utils.blocks.assembly.AssembleBlock method) (firedrake.adjoint_utils.blocks.constant.ConstantAssignBlock method) (firedrake.adjoint_utils.blocks.function.FunctionAssignBlock method) (firedrake.adjoint_utils.blocks.solving.GenericSolveBlock method) prepare_evaluate_tlm() (firedrake.adjoint_utils.blocks.assembly.AssembleBlock method) (firedrake.adjoint_utils.blocks.function.FunctionAssignBlock method) (firedrake.adjoint_utils.blocks.solving.GenericSolveBlock method) prepare_recompute_component() (firedrake.adjoint_utils.blocks.assembly.AssembleBlock method) (firedrake.adjoint_utils.blocks.function.FunctionAssignBlock method) (firedrake.adjoint_utils.blocks.solving.GenericSolveBlock method) print_at_exit() (firedrake_citations.Citations class method) product() (firedrake.assign.CoefficientCollector method) ProgressBar (class in firedrake.progress_bar) project() (firedrake.function.Function method) (in module firedrake.projection) ProjectBlock (class in firedrake.adjoint_utils.blocks.solving) Projector() (in module firedrake.projection) prolong() (firedrake.mg.embedded.TransferManager method) (firedrake.preconditioners.facet_split.FacetSplitPC method) (in module firedrake.mg.interface) prolong_kernel() (in module firedrake.mg.kernels) ProxyFunctionSpace (class in firedrake.functionspaceimpl) ProxyRestrictedFunctionSpace (class in firedrake.functionspaceimpl) push_appctx() (in module firedrake.dmhooks) push_attr() (in module firedrake.dmhooks) push_block() (in module firedrake.slate.slac.optimise) push_ctx_coarsener() (in module firedrake.dmhooks) push_diag() (in module firedrake.slate.slac.optimise) push_mul() (in module firedrake.slate.slac.optimise) push_parent() (in module firedrake.dmhooks) PytorchOperator (class in firedrake.ml.pytorch.ml_operator)

Q

quadrilateral_closure_ordering() (in module firedrake.cython.dmcommon) quadrilateral_facet_orientations() (in module firedrake.cython.dmcommon)

quiver() (in module firedrake.pyplot) (in module firedrake.pyplot.mpl)

R

rank (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) read() (firedrake.checkpointing.HDF5File method) read_attribute() (firedrake.checkpointing.DumbCheckpoint method) RealFunctionSpace (class in firedrake.functionspaceimpl) Reciprocal (class in firedrake.slate.slate) recompute() (firedrake.adjoint_utils.blocks.dirichlet_bc.DirichletBCBlock method) recompute_component() (firedrake.adjoint_utils.blocks.assembly.AssembleBlock method) (firedrake.adjoint_utils.blocks.constant.ConstantAssignBlock method) (firedrake.adjoint_utils.blocks.function.CofunctionAssignBlock method) (firedrake.adjoint_utils.blocks.function.FunctionAssignBlock method) (firedrake.adjoint_utils.blocks.function.FunctionMergeBlock method) (firedrake.adjoint_utils.blocks.function.SubfunctionBlock method) (firedrake.adjoint_utils.blocks.mesh.MeshInputBlock method) (firedrake.adjoint_utils.blocks.mesh.MeshOutputBlock method) (firedrake.adjoint_utils.blocks.solving.GenericSolveBlock method) (firedrake.adjoint_utils.blocks.solving.NonlinearVariationalSolveBlock method) (firedrake.adjoint_utils.blocks.solving.SupermeshProjectBlock method) reconstruct() (firedrake.bcs.DirichletBC method) (firedrake.bcs.EquationBC method) (firedrake.functionspaceimpl.WithGeometryBase method) (firedrake.ufl_expr.Argument method) (firedrake.ufl_expr.Coargument method) RectangleMesh() (in module firedrake.utility_meshes) recv() (firedrake.ensemble.Ensemble method) reduce() (firedrake.ensemble.Ensemble method) reduction_op() (in module firedrake.halo)

refine() (in module firedrake.dmhooks) register() (firedrake_citations.Citations method) RelabeledMesh() (in module firedrake.mesh) remove() (firedrake.fml.form_manipulation_language.Label method) RemoveRestrictions (class in firedrake.slate.slac.utils) rename() (firedrake.cofunction.Cofunction method) (firedrake.function.CoordinatelessFunction method) (firedrake.parameters.Parameters method) reordered_coords() (in module firedrake.cython.dmcommon) replace_subject() (in module firedrake.fml.replacement) replace_test_function() (in module firedrake.fml.replacement) replace_trial_function() (in module firedrake.fml.replacement) require_group() (firedrake.checkpointing.CheckpointFile method) requires_transfer() (firedrake.mg.embedded.TransferManager method) restore() (firedrake.bcs.DirichletBC method) restore_work_function() (firedrake.functionspaceimpl.WithGeometryBase method) restrict() (firedrake.mg.embedded.TransferManager method) (firedrake.preconditioners.facet_split.FacetSplitPC method) (in module firedrake.mg.interface) restrict_kernel() (in module firedrake.mg.kernels) RestrictedFunctionSpace (class in firedrake.functionspaceimpl) RestrictedFunctionSpace() (in module firedrake.functionspace) retrieve_user_S_approx() (firedrake.slate.static_condensation.hybridization.SchurComplementBuilder method) (firedrake.slate.static_condensation.la_utils.SchurComplementBuilder method) rhs (firedrake.slate.static_condensation.la_utils.LAContext attribute) riesz_representation() (firedrake.cofunction.Cofunction method) (firedrake.function.Function method)

S

SameMeshInterpolator (class in firedrake.interpolation) save_function() (firedrake.checkpointing.CheckpointFile method) save_mesh() (firedrake.checkpointing.CheckpointFile method) sc_solve() (firedrake.slate.static_condensation.hybridization.HybridizationPC method) (firedrake.slate.static_condensation.sc_base.SCBase method) (firedrake.slate.static_condensation.scpc.SCPC method) SCBase (class in firedrake.slate.static_condensation.sc_base) SchurComplementBuilder (class in firedrake.slate.static_condensation.hybridization) (class in firedrake.slate.static_condensation.la_utils) SCPC (class in firedrake.slate.static_condensation.scpc) SemiCoarsenedExtrudedHierarchy() (in module firedrake.mg.mesh) send() (firedrake.ensemble.Ensemble method) sendrecv() (firedrake.ensemble.Ensemble method) set_adjacency_callback() (in module firedrake.cython.dmcommon) set_attr() (firedrake.checkpointing.CheckpointFile method) set_attr_byte_string() (firedrake.checkpointing.CheckpointFile method) set_coefficients() (firedrake.mg.kernels.MacroKernelBuilder method) set_coordinates() (firedrake.mg.kernels.MacroKernelBuilder method) set_default_parameter() (firedrake.petsc.OptionsManager method) set_defaults() (in module firedrake.solving_utils) set_from_options() (firedrake.petsc.OptionsManager method) set_function_space() (in module firedrake.dmhooks) set_level() (in module firedrake.logging) (in module firedrake.mg.utils) set_local() (firedrake.vector.Vector method) set_log_handlers() (in module firedrake.logging) set_log_level() (in module firedrake.logging) set_nullspaces() (firedrake.preconditioners.assembled.AssembledPC method) (firedrake.preconditioners.facet_split.FacetSplitPC method) (firedrake.preconditioners.massinv.MassInvPC method) set_patch_jacobian() (in module firedrake.cython.patchimpl) set_patch_residual() (in module firedrake.cython.patchimpl) set_shared_data() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) (firedrake.functionspaceimpl.RestrictedFunctionSpace method) set_timestep() (firedrake.checkpointing.DumbCheckpoint method) set_transfer_manager() (firedrake.variational_solver.NonlinearVariationalSolver method) set_update_function() (firedrake.parameters.Parameters method) set_value() (firedrake.bcs.DirichletBC method) set_values() (firedrake.preconditioners.fdm.FDMPC method) (firedrake.preconditioners.fdm.PoissonFDMPC method) setup() (firedrake.dmhooks.SetupHooks method) setUp() (firedrake.preconditioners.base.PCBase method) (firedrake.preconditioners.base.PCSNESBase method) SetupHooks (class in firedrake.dmhooks) sf (firedrake.halo.Halo property) sfBC (firedrake.mesh.AbstractMeshTopology attribute) sfXB (firedrake.mesh.AbstractMeshTopology attribute) shape (firedrake.slate.slac.kernel_builder.CoefficientInfo attribute) shape() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) size() (firedrake.mesh.AbstractMeshTopology method) (firedrake.vector.Vector method) slate2gem() (in module firedrake.slate.slac.utils) slate_call() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) slate_coefficients() (firedrake.slate.slate.AssembledVector method) (firedrake.slate.slate.Block method) (firedrake.slate.slate.BlockAssembledVector method) (firedrake.slate.slate.Factorization method) (firedrake.slate.slate.Tensor method) slate_to_gem() (in module firedrake.slate.slac.utils) SlateWrapperBag (class in firedrake.slate.slac.kernel_builder) slope() (in module firedrake.optimizer) SNESBase (class in firedrake.preconditioners.base) SolidTorusMesh() (in module firedrake.utility_meshes) Solve (class in firedrake.slate.slate) solve() (firedrake.eigensolver.LinearEigensolver method) (firedrake.linear_solver.LinearSolver method) (firedrake.variational_solver.NonlinearVariationalSolver method) (in module firedrake.solving) solve_init_params() (in module firedrake.adjoint_utils.blocks.solving) SolveLinearSystemBlock (class in firedrake.adjoint_utils.blocks.solving) Solver (class in firedrake.adjoint_utils.blocks.solving) SolveVarFormBlock (class in firedrake.adjoint_utils.blocks.solving) sort_entities() (firedrake.preconditioners.patch.PlaneSmoother method) space_index (firedrake.slate.slac.kernel_builder.CoefficientInfo attribute)

spatial_index (firedrake.mesh.MeshGeometry property) SpatialIndex (class in firedrake.cython.spatialindex) split() (firedrake.cofunction.Cofunction method) (firedrake.constant.Constant method) (firedrake.formmanipulation.ExtractSubBlock method) (firedrake.function.CoordinatelessFunction method) (firedrake.function.Function method) (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.WithGeometryBase method) split_by() (in module firedrake.utils) split_form() (in module firedrake.formmanipulation) SplitForm (class in firedrake.formmanipulation) SplitKernel (class in firedrake.tsfc_interface) SquareMesh() (in module firedrake.utility_meshes) src_locate_cell() (in module firedrake.pointquery_utils) src_mesh (firedrake.interpolation.DofNotDefinedError attribute) step() (firedrake.preconditioners.patch.PatchSNES method) (firedrake.preconditioners.pmg.PMGSNES method) stop_disk_checkpointing (class in firedrake.adjoint_utils.checkpointing) store() (firedrake.checkpointing.DumbCheckpoint method) streamplot() (in module firedrake.pyplot) (in module firedrake.pyplot.mpl) sub() (firedrake.cofunction.Cofunction method) (firedrake.function.CoordinatelessFunction method) (firedrake.function.Function method) (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.WithGeometryBase method) subdomain_data() (firedrake.slate.slate.AssembledVector method) (firedrake.slate.slate.Block method) (firedrake.slate.slate.BlockAssembledVector method) (firedrake.slate.slate.Factorization method) (firedrake.slate.slate.Tensor method) subdomain_id (firedrake.tsfc_interface.KernelInfo attribute) SubDomainData() (in module firedrake.mesh) SubfunctionBlock (class in firedrake.adjoint_utils.blocks.function) subfunctions (firedrake.cofunction.Cofunction property) (firedrake.constant.Constant property) (firedrake.function.CoordinatelessFunction property) (firedrake.function.Function property) (firedrake.functionspaceimpl.FunctionSpace property) (firedrake.functionspaceimpl.MixedFunctionSpace property) (firedrake.functionspaceimpl.WithGeometryBase property) Submesh() (in module firedrake.mesh) submesh_ancesters (firedrake.mesh.AbstractMeshTopology property) submesh_child_cell_parent_cell_map (firedrake.mesh.MeshTopology property) submesh_child_exterior_facet_parent_exterior_facet_map (firedrake.mesh.MeshTopology property) submesh_child_exterior_facet_parent_interior_facet_map (firedrake.mesh.MeshTopology property) submesh_child_interior_facet_parent_exterior_facet_map (firedrake.mesh.MeshTopology property) submesh_child_interior_facet_parent_interior_facet_map (firedrake.mesh.MeshTopology property) submesh_correct_entity_classes() (in module firedrake.cython.dmcommon) submesh_create() (in module firedrake.cython.dmcommon) submesh_create_cell_closure_cell_submesh() (in module firedrake.cython.dmcommon) submesh_map_child_parent() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.MeshTopology method) submesh_map_composed() (firedrake.mesh.AbstractMeshTopology method) submesh_parent_cell_child_cell_map (firedrake.mesh.MeshTopology property) submesh_parent_exterior_facet_child_exterior_facet_map (firedrake.mesh.MeshTopology property) submesh_parent_exterior_facet_child_interior_facet_map (firedrake.mesh.MeshTopology property) submesh_parent_interior_facet_child_exterior_facet_map (firedrake.mesh.MeshTopology property) submesh_parent_interior_facet_child_interior_facet_map (firedrake.mesh.MeshTopology property) submesh_update_facet_labels() (in module firedrake.cython.dmcommon) submesh_youngest_common_ancester() (firedrake.mesh.AbstractMeshTopology method) suffix (firedrake.progress_bar.ProgressBar attribute) sum() (firedrake.assign.CoefficientCollector method) (firedrake.vector.Vector method) SupermeshProjectBlock (class in firedrake.adjoint_utils.blocks.solving) supported_integral_types (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) supported_subdomain_types (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) symbol (firedrake.assign.Assigner attribute) (firedrake.assign.IAddAssigner attribute) (firedrake.assign.IDivAssigner attribute) (firedrake.assign.IMulAssigner attribute) (firedrake.assign.ISubAssigner attribute)

T

tag (firedrake.adjoint_utils.blocks.assembly.AssembleBlock attribute) (firedrake.adjoint_utils.blocks.constant.ConstantAssignBlock attribute) (firedrake.adjoint_utils.blocks.dirichlet_bc.DirichletBCBlock attribute) (firedrake.adjoint_utils.blocks.function.CofunctionAssignBlock attribute) (firedrake.adjoint_utils.blocks.function.FunctionAssignBlock attribute) (firedrake.adjoint_utils.blocks.function.FunctionMergeBlock attribute) (firedrake.adjoint_utils.blocks.function.SubfunctionBlock attribute) (firedrake.adjoint_utils.blocks.mesh.MeshInputBlock attribute) (firedrake.adjoint_utils.blocks.mesh.MeshOutputBlock attribute) (firedrake.adjoint_utils.blocks.solving.GenericSolveBlock attribute) (firedrake.adjoint_utils.blocks.solving.NonlinearVariationalSolveBlock attribute) (firedrake.adjoint_utils.blocks.solving.ProjectBlock attribute) (firedrake.adjoint_utils.blocks.solving.SolveLinearSystemBlock attribute) (firedrake.adjoint_utils.blocks.solving.SolveVarFormBlock attribute) (firedrake.adjoint_utils.blocks.solving.SupermeshProjectBlock attribute) teardown() (firedrake.dmhooks.SetupHooks method) Tensor (class in firedrake.slate.slate) tensor (firedrake.slate.slac.tsfc_driver.ContextKernel attribute) TensorBoxMesh() (in module firedrake.utility_meshes) TensorFunctionSpace() (in module firedrake.functionspace) TensorRectangleMesh() (in module firedrake.utility_meshes) Term (class in firedrake.fml.form_manipulation_language) terminal (firedrake.slate.slate.AssembledVector attribute) (firedrake.slate.slate.Block property) (firedrake.slate.slate.Tensor attribute) terms (firedrake.fml.form_manipulation_language.LabelledForm attribute) test_space (firedrake.linear_solver.LinearSolver property) TestFunction() (in module firedrake.ufl_expr) TestFunctions() (in module firedrake.ufl_expr) to_jax() (in module firedrake.ml.jax.fem_operator) to_petsc_local_numbering() (in module firedrake.cython.dmcommon) to_reference_coordinates() (in module firedrake.mg.kernels) to_reference_coords_newton_step() (in module firedrake.pointquery_utils) to_torch() (in module firedrake.ml.pytorch.fem_operator) tolerance (firedrake.mesh.MeshGeometry property) top_bottom_boundary_nodes() (in module firedrake.cython.extrusion_numbering) top_nodes() (firedrake.functionspaceimpl.RealFunctionSpace method) topological (firedrake.function.CoordinatelessFunction property) (firedrake.function.Function property) (firedrake.functionspaceimpl.FunctionSpace property) (firedrake.functionspaceimpl.FunctionSpaceCargo attribute) (firedrake.functionspaceimpl.MixedFunctionSpace property) (firedrake.functionspaceimpl.WithGeometryBase property) (firedrake.mesh.AbstractMeshTopology property) (firedrake.mesh.MeshGeometry property)

topological_sort() (in module firedrake.slate.slac.utils) topology (firedrake.mesh.AbstractMeshTopology property) (firedrake.mesh.MeshGeometry property) topology_dm (firedrake.mesh.AbstractMeshTopology attribute) (firedrake.mesh.ExtrudedMeshTopology attribute) torch_grad_enabled (firedrake.ml.pytorch.ml_operator.PytorchOperator property) torch_operator() (in module firedrake.ml.pytorch.fem_operator) TorusMesh() (in module firedrake.utility_meshes) trans_mesh_entity_map() (firedrake.mesh.AbstractMeshTopology method) (firedrake.mesh.MeshTopology method) TransferManager (class in firedrake.mg.embedded) TransferManager.Cache (class in firedrake.mg.embedded) transform_integrals() (in module firedrake.slate.slac.tsfc_driver) transform_vec_from_firedrake_to_petsc() (in module firedrake.cython.dmcommon) Transpose (class in firedrake.slate.slate) trial_space (firedrake.linear_solver.LinearSolver property) TrialFunction() (in module firedrake.ufl_expr) TrialFunctions() (in module firedrake.ufl_expr) tricontour() (in module firedrake.pyplot) (in module firedrake.pyplot.mpl) tricontourf() (in module firedrake.pyplot) (in module firedrake.pyplot.mpl) tripcolor() (in module firedrake.pyplot) (in module firedrake.pyplot.mpl) triplot() (in module firedrake.pyplot) (in module firedrake.pyplot.mpl) trisurf() (in module firedrake.pyplot) (in module firedrake.pyplot.mpl) tsfc_compile_form_comm_fetcher() (in module firedrake.tsfc_interface) tsfc_compile_form_hashkey() (in module firedrake.tsfc_interface) tsfc_cxt_kernels() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) tsfc_kernels (firedrake.slate.slac.tsfc_driver.ContextKernel attribute) TSFCKernel (class in firedrake.tsfc_interface) tuplify() (in module firedrake.utils) TwoLevelPC (class in firedrake.preconditioners.hiptmair)

U

ufl_cell() (firedrake.functionspaceimpl.WithGeometryBase method) (firedrake.mesh.AbstractMeshTopology method) ufl_domains() (firedrake.matrix.MatrixBase method) (firedrake.slate.slate.AssembledVector method) (firedrake.slate.slate.Block method) (firedrake.slate.slate.BlockAssembledVector method) (firedrake.slate.slate.Factorization method) (firedrake.slate.slate.Tensor method) ufl_element() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) ufl_function_space() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.WithGeometryBase method) ufl_id() (firedrake.cofunction.Cofunction method) (firedrake.function.CoordinatelessFunction method) ufl_mesh() (firedrake.mesh.AbstractMeshTopology method) ufl_operands (firedrake.cofunction.Cofunction attribute) (firedrake.external_operators.abstract_external_operators.AbstractExternalOperator attribute) (firedrake.external_operators.ml_operator.MLOperator attribute) (firedrake.external_operators.point_expr_operator.PointexprOperator attribute) (firedrake.interpolation.Interpolate attribute) (firedrake.matrix.AssembledMatrix attribute) (firedrake.matrix.ImplicitMatrix attribute) (firedrake.matrix.Matrix attribute) (firedrake.matrix.MatrixBase attribute) (firedrake.ml.jax.ml_operator.JaxOperator attribute) (firedrake.ml.pytorch.ml_operator.PytorchOperator attribute) (firedrake.ufl_expr.Coargument attribute) ufl_shape (firedrake.constant.Constant property)

UFLConstraint (class in firedrake.adjoint.ufl_constraints) UFLEqualityConstraint (class in firedrake.adjoint.ufl_constraints) UFLInequalityConstraint (class in firedrake.adjoint.ufl_constraints) unique() (in module firedrake.utils) unique_name() (in module firedrake.utils) UnitBallMesh() (in module firedrake.utility_meshes) UnitCubedSphereMesh() (in module firedrake.utility_meshes) UnitCubeMesh() (in module firedrake.utility_meshes) UnitDiskMesh() (in module firedrake.utility_meshes) UnitIcosahedralSphereMesh() (in module firedrake.utility_meshes) UnitIntervalMesh() (in module firedrake.utility_meshes) UnitOctahedralSphereMesh() (in module firedrake.utility_meshes) UnitSquareMesh() (in module firedrake.utility_meshes) UnitTetrahedronMesh() (in module firedrake.utility_meshes) UnitTriangleMesh() (in module firedrake.utility_meshes) unmarked (in module firedrake.mesh) update() (firedrake.preconditioners.asm.ASMPatchPC method) (firedrake.preconditioners.assembled.AssembledPC method) (firedrake.preconditioners.base.PCSNESBase method) (firedrake.preconditioners.facet_split.FacetSplitPC method) (firedrake.preconditioners.fdm.FDMPC method) (firedrake.preconditioners.gtmg.GTMGPC method) (firedrake.preconditioners.hiptmair.TwoLevelPC method) (firedrake.preconditioners.hypre_ads.HypreADS method) (firedrake.preconditioners.hypre_ams.HypreAMS method) (firedrake.preconditioners.pcd.PCDPC method) (firedrake.slate.static_condensation.hybridization.HybridizationPC method) (firedrake.slate.static_condensation.scpc.SCPC method) update_control() (firedrake.adjoint.ufl_constraints.UFLConstraint method) update_value() (firedrake.fml.form_manipulation_language.Label method)

V

V_approx_inv_mass() (firedrake.mg.embedded.TransferManager method) V_DG_mass() (firedrake.mg.embedded.TransferManager method) V_dof_weights() (firedrake.mg.embedded.TransferManager method) V_inv_mass_ksp() (firedrake.mg.embedded.TransferManager method) validate_mesh() (in module firedrake.cython.dmcommon) validator (firedrake.fml.form_manipulation_language.Label attribute) value (firedrake.fml.form_manipulation_language.Label attribute) value_size (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace property) values() (firedrake.constant.Constant method) variable_layers (firedrake.mesh.AbstractMeshTopology attribute) Vector (class in firedrake.vector) vector (firedrake.slate.slac.kernel_builder.CoefficientInfo attribute) vector() (firedrake.cofunction.Cofunction method) (firedrake.function.CoordinatelessFunction method) (firedrake.function.Function method) VectorFunctionSpace() (in module firedrake.functionspace) VectorSpaceBasis (class in firedrake.nullspace) VERTEX (firedrake.mesh.DistributedMeshOverlapType attribute) VertexBasedLimiter (class in firedrake.slope_limiter.vertex_based_limiter) VertexOnlyMesh() (in module firedrake.mesh) VertexOnlyMeshMissingPointsError

VertexOnlyMeshTopology (class in firedrake.mesh) view() (firedrake.matrix_free.operators.ImplicitMatrixContext method) (firedrake.preconditioners.asm.ASMPatchPC method) (firedrake.preconditioners.assembled.AssembledPC method) (firedrake.preconditioners.base.PCSNESBase method) (firedrake.preconditioners.facet_split.FacetSplitPC method) (firedrake.preconditioners.fdm.FDMPC method) (firedrake.preconditioners.gtmg.GTMGPC method) (firedrake.preconditioners.hiptmair.TwoLevelPC method) (firedrake.preconditioners.hypre_ads.HypreADS method) (firedrake.preconditioners.hypre_ams.HypreAMS method) (firedrake.preconditioners.pcd.PCDPC method) (firedrake.slate.static_condensation.hybridization.HybridizationPC method) (firedrake.slate.static_condensation.scpc.SCPC method) vtk_lagrange_hex_reorder() (in module firedrake.output.paraview_reordering) vtk_lagrange_interval_reorder() (in module firedrake.output.paraview_reordering) vtk_lagrange_quad_reorder() (in module firedrake.output.paraview_reordering) vtk_lagrange_tet_reorder() (in module firedrake.output.paraview_reordering) vtk_lagrange_triangle_reorder() (in module firedrake.output.paraview_reordering) vtk_lagrange_wedge_reorder() (in module firedrake.output.paraview_reordering) VTKFile (class in firedrake.output.vtk_output) (class in firedrake.output.vtk_unavailable) vwr (firedrake.checkpointing.DumbCheckpoint property)

W

warning() (in module firedrake.logging) width (firedrake.progress_bar.ProgressBar attribute) WithGeometry (class in firedrake.functionspaceimpl) WithGeometryBase (class in firedrake.functionspaceimpl)

work_vec() (firedrake.mg.embedded.TransferManager method) write() (firedrake.checkpointing.HDF5File method) (firedrake.output.vtk_output.VTKFile method) write_attribute() (firedrake.checkpointing.DumbCheckpoint method)

X

X_isub_dX() (in module firedrake.pointquery_utils)

Z

zero() (firedrake.assign.CoefficientCollector method) (firedrake.cofunction.Cofunction method) (firedrake.function.Function method)