Index

A

abs() (firedrake.assemble_expressions.Translator method) action() (in module firedrake.ufl_expr) Add (class in firedrake.slate.slate) add() (firedrake.parameters.Parameters 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_update_value() (firedrake.adjoint.constant.ConstantMixin method) (firedrake.adjoint.function.FunctionMixin method) adjoint() (in module firedrake.ufl_expr) allreduce() (firedrake.ensemble.Ensemble method) annotate_assemble() (in module firedrake.adjoint.assembly) annotate_interpolate() (in module firedrake.adjoint.interpolate) annotate_project() (in module firedrake.adjoint.projection) annotate_solve() (in module firedrake.adjoint.solving) apply() (firedrake.bcs.DirichletBC method) (firedrake.preconditioners.asm.ASMPatchPC method) (firedrake.preconditioners.assembled.AssembledPC method) (firedrake.preconditioners.base.PCBase method) (firedrake.preconditioners.gtmg.GTMGPC method) (firedrake.preconditioners.massinv.MassInvPC 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) applyTranspose() (firedrake.preconditioners.asm.ASMPatchPC method) (firedrake.preconditioners.assembled.AssembledPC method) (firedrake.preconditioners.base.PCBase method) (firedrake.preconditioners.gtmg.GTMGPC method) (firedrake.preconditioners.massinv.MassInvPC 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 attribute) (firedrake.slate.slate.AssembledVector attribute) (firedrake.slate.slate.Block attribute) (firedrake.slate.slate.Factorization attribute) (firedrake.slate.slate.Inverse attribute) (firedrake.slate.slate.Mul attribute) (firedrake.slate.slate.Negative attribute) (firedrake.slate.slate.Solve attribute) (firedrake.slate.slate.Tensor attribute) (firedrake.slate.slate.Transpose attribute)

args() (firedrake.assemble_expressions.Assign property) Argument (class in firedrake.ufl_expr) argument() (firedrake.formmanipulation.ExtractSubBlock method) arguments() (firedrake.slate.slate.Add method) (firedrake.slate.slate.AssembledVector method) (firedrake.slate.slate.Block method) (firedrake.slate.slate.Factorization method) (firedrake.slate.slate.Inverse method) (firedrake.slate.slate.Mul method) (firedrake.slate.slate.Negative 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) 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.matrix.ImplicitMatrix method) (firedrake.matrix.Matrix method) (in module firedrake.assemble) assemble_expression() (in module firedrake.assemble_expressions) assemble_mixed_mass_matrix() (in module firedrake.cython.supermeshimpl), [1] (in module firedrake.supermeshing) AssembleBlock (class in firedrake.adjoint.blocks) AssembledPC (class in firedrake.preconditioners.assembled) AssembledVector (class in firedrake.slate.slate) Assign (class in firedrake.assemble_expressions) assign() (firedrake.constant.Constant method) (firedrake.function.Function method) at() (firedrake.function.Function method) attach_hooks() (in module firedrake.dmhooks) attributes() (firedrake.checkpointing.HDF5File method) AugmentedAssign (class in firedrake.assemble_expressions) AuxiliaryOperatorPC (class in firedrake.preconditioners.assembled) axpy() (firedrake.vector.Vector method)

B

Backend (class in firedrake.adjoint.blocks) backend (firedrake.adjoint.blocks.Backend attribute) 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) bary_to_cart() (in module firedrake.paraview_reordering) barycentric() (firedrake.preconditioners.pmg.StandaloneInterpolationMatrix static method) bcs() (firedrake.matrix.MatrixBase property) beta() (firedrake.randomfunctiongen.RandomGenerator method) binomial() (firedrake.randomfunctiongen.RandomGenerator method) Block (class in firedrake.slate.slate) block_helper (firedrake.adjoint.blocks.AssembleBlock attribute) (firedrake.adjoint.blocks.ConstantAssignBlock attribute) (firedrake.adjoint.blocks.DirichletBCBlock attribute) (firedrake.adjoint.blocks.FunctionAssignBlock attribute) (firedrake.adjoint.blocks.FunctionMergeBlock attribute) (firedrake.adjoint.blocks.FunctionSplitBlock attribute) (firedrake.adjoint.blocks.GenericSolveBlock attribute) (firedrake.adjoint.blocks.InterpolateBlock attribute) (firedrake.adjoint.blocks.MeshInputBlock attribute) (firedrake.adjoint.blocks.MeshOutputBlock attribute) (firedrake.adjoint.blocks.NonlinearVariationalSolveBlock attribute) (firedrake.adjoint.blocks.ProjectBlock attribute) (firedrake.adjoint.blocks.SolveLinearSystemBlock attribute) (firedrake.adjoint.blocks.SolveVarFormBlock attribute)

bottom_nodes() (firedrake.functionspaceimpl.RealFunctionSpace method) boundary_nodes() (firedrake.functionspaceimpl.FunctionSpace method) (in module firedrake.cython.dmcommon), [1] bounding_boxes() (in module firedrake.cython.spatialindex), [1] BoxMesh() (in module firedrake.utility_meshes) brng() (firedrake.randomfunctiongen.RandomGenerator method) bytes() (firedrake.randomfunctiongen.RandomGenerator method)

C

cache() (firedrake.mg.embedded.TransferManager method) cell_facet_labeling() (in module firedrake.cython.dmcommon), [1] cell_facet_sym (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) cell_facets_arg (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) cell_node_list (firedrake.functionspaceimpl.FunctionSpace attribute) cell_node_map (firedrake.ufl_expr.Argument attribute) cell_node_map() (firedrake.constant.Constant method) (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) cell_orientations_arg (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) cell_orientations_sym (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) cell_size_arg (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) cell_size_sym (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) CellSize() (in module firedrake.ufl_expr) check() (in module firedrake.version) check_orthogonality() (firedrake.nullspace.VectorSpaceBasis method) check_snes_convergence() (in module firedrake.solving_utils) chisquare() (firedrake.randomfunctiongen.RandomGenerator method) choice() (firedrake.randomfunctiongen.RandomGenerator method) CircleManifoldMesh() (in module firedrake.utility_meshes) clear_adjacency_callback() (in module firedrake.cython.dmcommon), [1] clear_cache() (in module firedrake.tsfc_interface) close() (firedrake.checkpointing.DumbCheckpoint method) (firedrake.checkpointing.HDF5File method) closure_ordering() (in module firedrake.cython.dmcommon), [1] 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), [1] coarse_to_fine_nodes() (in module firedrake.cython.mgimpl), [1] coarsen() (firedrake.preconditioners.pmg.PMGPC method) (in module firedrake.dmhooks) (in module firedrake.mg.ufl_utils) coarsen_element() (firedrake.preconditioners.low_order.P1PC static method) (firedrake.preconditioners.pmg.PMGPC static method) coefficient() (firedrake.assemble_expressions.Translator method) (firedrake.slate.slac.kernel_builder.LocalKernelBuilder method) coefficient_derivative() (firedrake.formmanipulation.ExtractSubBlock method) coefficient_map (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) (firedrake.tsfc_interface.KernelInfo attribute) CoefficientInfo (class in firedrake.slate.slac.kernel_builder) coefficients (firedrake.assemble_expressions.Assign attribute) (firedrake.slate.slac.tsfc_driver.ContextKernel attribute) coefficients() (firedrake.slate.slate.AssembledVector method) (firedrake.slate.slate.Block method) (firedrake.slate.slate.Factorization method) (firedrake.slate.slate.Tensor method) collapse() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.WithGeometry method) collect_coefficients() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) collect_tsfc_kernel_data() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method)

comm (firedrake.ensemble.Ensemble attribute) (firedrake.halo.Halo attribute) (firedrake.mg.mesh.HierarchyBase attribute) commandline_options (firedrake.petsc.OptionsManager attribute) compat (firedrake.adjoint.blocks.Backend 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) compile_to_gem() (in module firedrake.assemble_expressions) complex_normal() (firedrake.randomfunctiongen.RandomGenerator method) component (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) component_tensor() (firedrake.assemble_expressions.Translator method) ComponentFunctionSpace() (in module firedrake.functionspaceimpl) compute_bounds() (firedrake.slope_limiter.limiter.Limiter method) (firedrake.slope_limiter.vertex_based_limiter.VertexBasedLimiter method) compute_celldist() (in module firedrake.pointquery_utils) condense_and_forward_eliminate() (in module firedrake.slate.static_condensation.la_utils) condensed_system() (firedrake.slate.static_condensation.scpc.SCPC method) conditional() (firedrake.assemble_expressions.Translator method) configure_patch() (firedrake.preconditioners.patch.PatchPC method) (firedrake.preconditioners.patch.PatchSNES method) conj() (firedrake.assemble_expressions.Translator method) Constant (class in firedrake.constant) ConstantAssignBlock (class in firedrake.adjoint.blocks) ConstantMixin (class in firedrake.adjoint.constant) context_kernels (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) ContextKernel (class in firedrake.slate.slac.tsfc_driver) ConvergenceError coord_sym (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) coordinates_arg (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) coords() (firedrake.preconditioners.patch.PlaneSmoother static method) copy() (firedrake.function.Function method) (firedrake.vector.Vector method) count (firedrake.petsc.OptionsManager attribute) create_field_decomposition() (in module firedrake.dmhooks) create_interpolation() (firedrake.preconditioners.pmg.PMGPC method) create_lgmap() (in module firedrake.cython.mgimpl), [1] create_matrix() (in module firedrake.dmhooks) create_section() (in module firedrake.cython.dmcommon), [1] create_subdm() (in module firedrake.dmhooks) createSubMatrix() (firedrake.matrix_free.operators.ImplicitMatrixContext method) critical() (in module firedrake.logging) ctx_coarsener (class in firedrake.dmhooks) ctypes (firedrake.cython.spatialindex.SpatialIndex attribute), [1] CubedSphereMesh() (in module firedrake.utility_meshes) CubeMesh() (in module firedrake.utility_meshes) CylinderMesh() (in module firedrake.utility_meshes)

D

dat (firedrake.vector.Vector attribute) debug() (in module firedrake.logging) depth_first_search() (in module firedrake.slate.slac.utils) dereffed (class in firedrake.assemble_expressions) derivative() (in module firedrake.ufl_expr) dg_injection_kernel() (in module firedrake.mg.kernels) DG_inv_mass() (firedrake.mg.embedded.TransferManager method) DG_work() (firedrake.mg.embedded.TransferManager method) dim() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) direct (in module firedrake.parloops) dirichlet() (firedrake.randomfunctiongen.RandomGenerator method) dirichlet_bcs() (firedrake.bcs.DirichletBC method) (firedrake.bcs.EquationBC method) (firedrake.variational_solver.NonlinearVariationalProblem method) DirichletBC (class in firedrake.bcs)

DirichletBCBlock (class in firedrake.adjoint.blocks) DirichletBCMixin (class in firedrake.adjoint.dirichletbc) disable_performance_optimisations() (in module firedrake.parameters) DistributedMeshOverlapType (class in firedrake.mesh) dm (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) (firedrake.functionspaceimpl.WithGeometry attribute) (firedrake.variational_solver.NonlinearVariationalProblem attribute) dof_count (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) dof_dset (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) domain_number (firedrake.tsfc_interface.KernelInfo attribute) domains() (firedrake.slate.slac.kernel_builder.IndexCreator property) DSFMT (class in firedrake.randomfunctiongen) DumbCheckpoint (class in firedrake.checkpointing) duplicate() (firedrake.matrix_free.operators.ImplicitMatrixContext method) dX_norm_square() (in module firedrake.pointquery_utils)

E

Ensemble (class in firedrake.ensemble) ensemble_comm (firedrake.ensemble.Ensemble attribute) entity_closures() (in module firedrake.extrusion_utils) entity_indices() (in module firedrake.extrusion_utils) entity_layers() (in module firedrake.cython.extrusion_numbering), [1] entity_reordering() (in module firedrake.extrusion_utils) 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.blocks.FunctionMergeBlock method) (firedrake.adjoint.blocks.FunctionSplitBlock method) (firedrake.adjoint.blocks.InterpolateBlock method) (firedrake.adjoint.blocks.MeshInputBlock method) (firedrake.adjoint.blocks.MeshOutputBlock method) evaluate_expression() (in module firedrake.assemble_expressions) evaluate_hessian_component() (firedrake.adjoint.blocks.FunctionMergeBlock method) (firedrake.adjoint.blocks.FunctionSplitBlock method) (firedrake.adjoint.blocks.MeshInputBlock method) (firedrake.adjoint.blocks.MeshOutputBlock method) evaluate_tlm() (firedrake.adjoint.blocks.FunctionMergeBlock method) evaluate_tlm_component() (firedrake.adjoint.blocks.FunctionSplitBlock method) (firedrake.adjoint.blocks.InterpolateBlock method) (firedrake.adjoint.blocks.MeshInputBlock method) (firedrake.adjoint.blocks.MeshOutputBlock method)

exchange_cell_orientations() (in module firedrake.cython.dmcommon), [1] exponential() (firedrake.randomfunctiongen.RandomGenerator method) expr() (firedrake.assemble_expressions.IndexRelabeller method) (firedrake.assemble_expressions.Translator method) (firedrake.formmanipulation.ExtractSubBlock method) (firedrake.formmanipulation.ExtractSubBlock.IndexInliner method) (firedrake.slate.slac.utils.RemoveRestrictions method) expr_list() (firedrake.formmanipulation.ExtractSubBlock method) Expression (class in firedrake.expression) expression_flops (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) extent() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) exterior_facet_node_map (firedrake.ufl_expr.Argument attribute) exterior_facet_node_map() (firedrake.constant.Constant method) (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) extract_coefficients() (in module firedrake.assemble_expressions) extract_form() (firedrake.bcs.DirichletBC method) (firedrake.bcs.EquationBC method) ExtractSubBlock (class in firedrake.formmanipulation) ExtractSubBlock.IndexInliner (class in firedrake.formmanipulation) ExtrudedMesh() (in module firedrake.mesh) ExtrudedMeshHierarchy() (in module firedrake.mg.mesh)

F

f() (firedrake.randomfunctiongen.RandomGenerator method) FACET (firedrake.mesh.DistributedMeshOverlapType attribute) facet_integral_predicates() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) facet_numbering() (in module firedrake.cython.dmcommon), [1] FacetNormal() (in module firedrake.ufl_expr) Factorization (class in firedrake.slate.slate) fast_key (firedrake.assemble_expressions.Assign attribute) field_idx (firedrake.slate.static_condensation.la_utils.LAContext attribute) File (class in firedrake.output) 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), [1] 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), [1] firedrake module firedrake.adjoint module firedrake.adjoint.assembly module firedrake.adjoint.blocks module firedrake.adjoint.constant module firedrake.adjoint.dirichletbc module firedrake.adjoint.function module firedrake.adjoint.interpolate module firedrake.adjoint.mesh module firedrake.adjoint.projection module firedrake.adjoint.solving module firedrake.adjoint.variational_solver module firedrake.assemble module firedrake.assemble_expressions module firedrake.bcs module firedrake.checkpointing module firedrake.constant module firedrake.cython module firedrake.cython.dmcommon module, [1] firedrake.cython.extrusion_numbering module, [1] firedrake.cython.hdf5interface module, [1] firedrake.cython.mgimpl module, [1] firedrake.cython.patchimpl module, [1] firedrake.cython.spatialindex module, [1] firedrake.cython.supermeshimpl module, [1] firedrake.dmhooks module firedrake.ensemble module firedrake.exceptions module firedrake.expression module firedrake.extrusion_utils 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.norms module firedrake.nullspace module firedrake.optimizer module firedrake.output module firedrake.parameters module firedrake.paraview_reordering module firedrake.parloops module firedrake.petsc module firedrake.plot 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.gtmg module firedrake.preconditioners.low_order module firedrake.preconditioners.massinv module firedrake.preconditioners.patch module firedrake.preconditioners.pcd module firedrake.preconditioners.pmg module firedrake.projection 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.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_local_to_cart() (in module firedrake.paraview_reordering) flat_entity_dofs() (in module firedrake.extrusion_utils) flatten() (in module firedrake.assemble_expressions) flush() (firedrake.checkpointing.HDF5File method) form (firedrake.formmanipulation.SplitForm attribute) form() (firedrake.preconditioners.assembled.AssembledPC method) (firedrake.preconditioners.assembled.AuxiliaryOperatorPC 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_regions() (in module firedrake.cython.spatialindex), [1] Function (class in firedrake.function) function_arg() (firedrake.bcs.DirichletBC property) function_space() (firedrake.constant.Constant method) (firedrake.function.Function method) (firedrake.ufl_expr.Argument method) FunctionAssignBlock (class in firedrake.adjoint.blocks) FunctionMergeBlock (class in firedrake.adjoint.blocks) FunctionMixin (class in firedrake.adjoint.function) FunctionSpace (class in firedrake.functionspaceimpl) FunctionSpace() (in module firedrake.functionspace) FunctionSplitBlock (class in firedrake.adjoint.blocks)

G

gamma() (firedrake.randomfunctiongen.RandomGenerator method) gather() (firedrake.vector.Vector method) 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) generator() (firedrake.randomfunctiongen.DSFMT property) (firedrake.randomfunctiongen.MT19937 property) (firedrake.randomfunctiongen.PCG32 property) (firedrake.randomfunctiongen.PCG64 property) (firedrake.randomfunctiongen.Philox property) (firedrake.randomfunctiongen.RandomState property) (firedrake.randomfunctiongen.ThreeFry property) (firedrake.randomfunctiongen.ThreeFry32 property) (firedrake.randomfunctiongen.Xoroshiro128 property) (firedrake.randomfunctiongen.Xorshift1024 property) (firedrake.randomfunctiongen.Xoshiro256StarStar property) (firedrake.randomfunctiongen.Xoshiro512StarStar property) GenericSolveBlock (class in firedrake.adjoint.blocks) geometric() (firedrake.randomfunctiongen.RandomGenerator method) get_appctx() (firedrake.preconditioners.base.PCSNESBase static method) (in module firedrake.dmhooks) get_attr() (in module firedrake.dmhooks) get_cell_markers() (in module firedrake.cython.dmcommon), [1] get_cell_nodes() (in module firedrake.cython.dmcommon), [1] get_cell_remote_ranks() (in module firedrake.cython.dmcommon), [1] get_ctx_coarsener() (in module firedrake.dmhooks) get_derivative() (firedrake.adjoint.constant.ConstantMixin method) get_entity_classes() (in module firedrake.cython.dmcommon), [1]

get_entity_renumbering() (in module firedrake.cython.mgimpl), [1] get_facet_markers() (in module firedrake.cython.dmcommon), [1] get_facet_nodes() (in module firedrake.cython.dmcommon), [1] get_facet_ordering() (in module firedrake.cython.dmcommon), [1] get_facets_by_class() (in module firedrake.cython.dmcommon), [1] get_function_space() (in module firedrake.dmhooks) get_h5py_file() (in module firedrake.cython.hdf5interface), [1] get_level() (in module firedrake.mg.utils) get_local() (firedrake.vector.Vector method) get_nodes_1d() (firedrake.preconditioners.pmg.StandaloneInterpolationMatrix static method) get_parent() (in module firedrake.dmhooks) get_patches() (firedrake.preconditioners.asm.ASMLinesmoothPC method) (firedrake.preconditioners.asm.ASMPatchPC method) (firedrake.preconditioners.asm.ASMStarPC method) (firedrake.preconditioners.asm.ASMVankaPC method) get_shared_data() (in module firedrake.functionspacedata) get_timestamps() (firedrake.checkpointing.HDF5File method) get_timesteps() (firedrake.checkpointing.DumbCheckpoint method) get_topological_dimension() (in module firedrake.cython.dmcommon), [1] get_transfer_manager() (in module firedrake.dmhooks) get_work_function() (firedrake.functionspaceimpl.WithGeometry method) getDiagonal() (firedrake.matrix_free.operators.ImplicitMatrixContext method) getInfo() (firedrake.matrix_free.operators.ImplicitMatrixContext method) global_comm (firedrake.ensemble.Ensemble attribute) global_to_local_begin() (firedrake.halo.Halo method) global_to_local_end() (firedrake.halo.Halo method) GTMGPC (class in firedrake.preconditioners.gtmg) gumbel() (firedrake.randomfunctiongen.RandomGenerator method)

H

h5file() (firedrake.checkpointing.DumbCheckpoint property) Halo (class in firedrake.halo) halo_begin() (in module firedrake.cython.dmcommon), [1] halo_end() (in module firedrake.cython.dmcommon), [1] has_attribute() (firedrake.checkpointing.DumbCheckpoint method) has_bcs() (firedrake.matrix.MatrixBase property)

has_level() (in module firedrake.mg.utils) HDF5File (class in firedrake.checkpointing) HierarchyBase (class in firedrake.mg.mesh) homogenize() (firedrake.bcs.DirichletBC method) (in module firedrake.bcs) HybridizationPC (class in firedrake.slate.static_condensation.hybridization) hypergeometric() (firedrake.randomfunctiongen.RandomGenerator method)

I

IAdd (class in firedrake.assemble_expressions) IcosahedralSphereMesh() (in module firedrake.utility_meshes) identifier (firedrake.functionspaceimpl.ProxyFunctionSpace attribute) IDiv (class in firedrake.assemble_expressions) imag() (firedrake.assemble_expressions.Translator method) ImplicitMatrix (class in firedrake.matrix) ImplicitMatrixContext (class in firedrake.matrix_free.operators) IMul (class in firedrake.assemble_expressions) inames (firedrake.slate.slac.kernel_builder.IndexCreator attribute) index (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) index_inliner (firedrake.formmanipulation.ExtractSubBlock attribute) index_sum() (firedrake.assemble_expressions.Translator method) IndexCreator (class in firedrake.slate.slac.kernel_builder) indexed() (firedrake.assemble_expressions.Translator method) (firedrake.formmanipulation.ExtractSubBlock.IndexInliner method) IndexedFunctionSpace() (in module firedrake.functionspaceimpl) IndexRelabeller (class in firedrake.assemble_expressions) 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_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.gtmg.GTMGPC method) (firedrake.preconditioners.massinv.MassInvPC method) (firedrake.preconditioners.pcd.PCDPC method) (firedrake.preconditioners.pmg.PMGPC 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) inserted_options() (firedrake.petsc.OptionsManager method) inside_check() (in module firedrake.pointquery_utils) integral_type (firedrake.tsfc_interface.KernelInfo attribute) integral_type() (firedrake.slate.slac.kernel_builder.LocalKernelBuilder property) integrals() (firedrake.bcs.DirichletBC method) (firedrake.slate.slate.AssembledVector property) interior_facet_node_map (firedrake.ufl_expr.Argument attribute) interior_facet_node_map() (firedrake.constant.Constant method) (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) interpolate() (firedrake.function.Function method) (firedrake.interpolation.Interpolator method) (in module firedrake.interpolation) InterpolateBlock (class in firedrake.adjoint.blocks) Interpolator (class in firedrake.interpolation) intersection_finder() (in module firedrake.cython.supermeshimpl), [1] (in module firedrake.supermeshing) IntervalMesh() (in module firedrake.utility_meshes) invalidate_jacobian() (firedrake.variational_solver.LinearVariationalSolver method) Inverse (class in firedrake.slate.slate) invert() (in module firedrake.paraview_reordering) irecv() (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) isend() (firedrake.ensemble.Ensemble method) ISub (class in firedrake.assemble_expressions) it_sym (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) iterset (firedrake.assemble_expressions.Assign attribute)

K

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_facets() (in module firedrake.cython.dmcommon), [1] label_pic_parent_cell_nums() (in module firedrake.cython.dmcommon), [1] LAContext (class in firedrake.slate.static_condensation.la_utils) laplace() (firedrake.randomfunctiongen.RandomGenerator method) layer_arg (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) layer_count (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) layer_extents() (in module firedrake.cython.extrusion_numbering), [1] layer_integral_predicates() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) lhs (firedrake.slate.static_condensation.la_utils.LAContext attribute) Limiter (class in firedrake.slope_limiter.limiter) LinearSolver (class in firedrake.linear_solver) LinearVariationalProblem (class in firedrake.variational_solver) LinearVariationalSolver (class in firedrake.variational_solver) load() (firedrake.checkpointing.DumbCheckpoint method) local_facet_array_arg (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) local_to_global_numbering (firedrake.halo.Halo attribute) LocalKernelBuilder (class in firedrake.slate.slac.kernel_builder) LocalLoopyKernelBuilder (class in firedrake.slate.slac.kernel_builder) log() (in module firedrake.logging) logistic() (firedrake.randomfunctiongen.RandomGenerator method) lognormal() (firedrake.randomfunctiongen.RandomGenerator method) logseries() (firedrake.randomfunctiongen.RandomGenerator method) loopify_tsfc_kernel_data() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) lvalue (firedrake.assemble_expressions.Assign attribute) (firedrake.assemble_expressions.AugmentedAssign attribute) (firedrake.assemble_expressions.IAdd attribute) (firedrake.assemble_expressions.IDiv attribute) (firedrake.assemble_expressions.IMul attribute) (firedrake.assemble_expressions.ISub attribute)

M

MacroKernelBuilder (class in firedrake.mg.kernels) make_args() (in module firedrake.pointquery_utils) make_blas_kernels() (firedrake.preconditioners.pmg.StandaloneInterpolationMatrix method) make_dat() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.ProxyFunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) (firedrake.ufl_expr.Argument method) make_extruded_coords() (in module firedrake.extrusion_utils) make_global_numbering() (in module firedrake.cython.dmcommon), [1] make_kernels() (firedrake.preconditioners.pmg.StandaloneInterpolationMatrix method) make_wrapper() (in module firedrake.pointquery_utils) mark_entity_classes() (in module firedrake.cython.dmcommon), [1] MassInvPC (class in firedrake.preconditioners.massinv) 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.WithGeometry property) merge_loopy() (in module firedrake.slate.slac.utils) mesh() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.WithGeometry method) Mesh() (in module firedrake.mesh) mesh_layer_count_sym (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) mesh_layer_sym (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) MeshGeometryMixin (class in firedrake.adjoint.mesh) MeshHierarchy() (in module firedrake.mg.mesh) MeshInputBlock (class in firedrake.adjoint.blocks) MeshOutputBlock (class in firedrake.adjoint.blocks) missingDiagonal() (firedrake.matrix_free.operators.ImplicitMatrixContext method) MixedFunctionSpace (class in firedrake.functionspaceimpl) MixedFunctionSpace() (in module firedrake.functionspace) MixedInterpolationMatrix (class in firedrake.preconditioners.pmg) MixedVectorSpaceBasis (class in firedrake.nullspace) module firedrake firedrake.adjoint firedrake.adjoint.assembly firedrake.adjoint.blocks firedrake.adjoint.constant firedrake.adjoint.dirichletbc firedrake.adjoint.function firedrake.adjoint.interpolate firedrake.adjoint.mesh firedrake.adjoint.projection firedrake.adjoint.solving firedrake.adjoint.variational_solver firedrake.assemble firedrake.assemble_expressions firedrake.bcs firedrake.checkpointing firedrake.constant firedrake.cython firedrake.cython.dmcommon, [1] firedrake.cython.extrusion_numbering, [1] firedrake.cython.hdf5interface, [1] firedrake.cython.mgimpl, [1] firedrake.cython.patchimpl, [1] firedrake.cython.spatialindex, [1] firedrake.cython.supermeshimpl, [1] firedrake.dmhooks firedrake.ensemble firedrake.exceptions firedrake.expression firedrake.extrusion_utils 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.norms firedrake.nullspace firedrake.optimizer firedrake.output firedrake.parameters firedrake.paraview_reordering firedrake.parloops firedrake.petsc firedrake.plot firedrake.pointeval_utils firedrake.pointquery_utils firedrake.preconditioners firedrake.preconditioners.asm firedrake.preconditioners.assembled firedrake.preconditioners.base firedrake.preconditioners.gtmg firedrake.preconditioners.low_order firedrake.preconditioners.massinv firedrake.preconditioners.patch firedrake.preconditioners.pcd firedrake.preconditioners.pmg firedrake.projection firedrake.randomfunctiongen firedrake.slate firedrake.slate.slac firedrake.slate.slac.compiler firedrake.slate.slac.kernel_builder 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

MT19937 (class in firedrake.randomfunctiongen) Mul (class in firedrake.slate.slate) mult() (firedrake.matrix_free.operators.ImplicitMatrixContext method) (firedrake.preconditioners.pmg.MixedInterpolationMatrix method) (firedrake.preconditioners.pmg.StandaloneInterpolationMatrix method) multi_index() (firedrake.assemble_expressions.IndexRelabeller method) (firedrake.formmanipulation.ExtractSubBlock method) (firedrake.formmanipulation.ExtractSubBlock.IndexInliner method) multinomial() (firedrake.randomfunctiongen.RandomGenerator method) multiplicity() (firedrake.preconditioners.pmg.StandaloneInterpolationMatrix static method) multivariate_normal() (firedrake.randomfunctiongen.RandomGenerator method) multTranspose() (firedrake.matrix_free.operators.ImplicitMatrixContext method) (firedrake.preconditioners.pmg.MixedInterpolationMatrix method) (firedrake.preconditioners.pmg.StandaloneInterpolationMatrix method) multTransposeAdd() (firedrake.preconditioners.pmg.MixedInterpolationMatrix method) (firedrake.preconditioners.pmg.StandaloneInterpolationMatrix method)

N

name (firedrake.functionspaceimpl.FunctionSpace attribute) name() (firedrake.parameters.Parameters method) namer (firedrake.slate.slac.kernel_builder.IndexCreator attribute) needs_cell_facets (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) (firedrake.tsfc_interface.KernelInfo attribute) needs_cell_sizes (firedrake.tsfc_interface.KernelInfo attribute) needs_mesh_layers (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) needs_python_amat (firedrake.preconditioners.base.PCBase attribute) needs_python_pmat (firedrake.preconditioners.base.PCBase attribute) (firedrake.preconditioners.gtmg.GTMGPC attribute) (firedrake.preconditioners.massinv.MassInvPC 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) negative_binomial() (firedrake.randomfunctiongen.RandomGenerator method) new_file() (firedrake.checkpointing.DumbCheckpoint method) new_snes_ctx() (firedrake.preconditioners.base.PCSNESBase static method) no_dats (firedrake.functionspaceimpl.ProxyFunctionSpace attribute)

node_classes() (in module firedrake.cython.extrusion_numbering), [1] node_count (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) node_set (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) noncentral_chisquare() (firedrake.randomfunctiongen.RandomGenerator method) noncentral_f() (firedrake.randomfunctiongen.RandomGenerator method) NONE (firedrake.mesh.DistributedMeshOverlapType attribute) NonlinearVariationalProblem (class in firedrake.variational_solver) NonlinearVariationalProblemMixin (class in firedrake.adjoint.variational_solver) NonlinearVariationalSolveBlock (class in firedrake.adjoint.blocks) NonlinearVariationalSolver (class in firedrake.variational_solver) NonlinearVariationalSolverMixin (class in firedrake.adjoint.variational_solver) NonNestedHierarchy() (in module firedrake.mg.mesh) norm() (in module firedrake.norms) normal() (firedrake.randomfunctiongen.RandomGenerator method) nullspace() (firedrake.nullspace.VectorSpaceBasis method) num_sub_spaces() (firedrake.functionspaceimpl.MixedFunctionSpace method) num_work_functions() (firedrake.functionspaceimpl.WithGeometry 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)

options_object (firedrake.petsc.OptionsManager attribute) OptionsManager (class in firedrake.petsc) orientations_facet2cell() (in module firedrake.cython.dmcommon), [1] 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)

P

P1PC (class in firedrake.preconditioners.low_order) par_loop() (in module firedrake.parloops) par_loop_args (firedrake.assemble_expressions.Assign attribute) Parameters (class in firedrake.parameters) parameters (in module firedrake.parameters) parent (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) pareto() (firedrake.randomfunctiongen.RandomGenerator method) pass_layer_arg (firedrake.tsfc_interface.KernelInfo attribute) PatchPC (class in firedrake.preconditioners.patch) PatchSNES (class in firedrake.preconditioners.patch) PCBase (class in firedrake.preconditioners.base) PCDPC (class in firedrake.preconditioners.pcd) PCG32 (class in firedrake.randomfunctiongen) PCG64 (class in firedrake.randomfunctiongen) 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) permutation() (firedrake.randomfunctiongen.RandomGenerator method) Philox (class in firedrake.randomfunctiongen) physical_node_locations() (in module firedrake.mg.utils) PlaneSmoother (class in firedrake.preconditioners.patch) plex_renumbering() (in module firedrake.cython.dmcommon), [1] plot() (in module firedrake.plot) PMGPC (class in firedrake.preconditioners.pmg) PointNotInDomainError pointwise_expression_kernel() (in module firedrake.assemble_expressions) poisson() (firedrake.randomfunctiongen.RandomGenerator method)

pop_appctx() (in module firedrake.dmhooks) pop_attr() (in module firedrake.dmhooks) pop_ctx_coarsener() (in module firedrake.dmhooks) pop_parent() (in module firedrake.dmhooks) positive_restricted() (firedrake.slate.slac.utils.RemoveRestrictions method) power() (firedrake.randomfunctiongen.RandomGenerator method) prec (firedrake.slate.slate.Add attribute) (firedrake.slate.slate.AssembledVector attribute) (firedrake.slate.slate.Block attribute) (firedrake.slate.slate.Factorization attribute) (firedrake.slate.slate.Mul attribute) (firedrake.slate.slate.Solve attribute) (firedrake.slate.slate.Tensor attribute) prepare_evaluate_adj() (firedrake.adjoint.blocks.InterpolateBlock method) prepare_evaluate_tlm() (firedrake.adjoint.blocks.InterpolateBlock method) prepare_recompute_component() (firedrake.adjoint.blocks.InterpolateBlock method) project() (firedrake.function.Function method) (in module firedrake.projection) ProjectBlock (class in firedrake.adjoint.blocks) Projector() (in module firedrake.projection) prolong() (firedrake.mg.embedded.TransferManager method) (in module firedrake.mg.interface) prolong_kernel() (in module firedrake.mg.kernels) prolongation_matrix_aij() (in module firedrake.preconditioners.pmg) prolongation_matrix_matfree() (in module firedrake.preconditioners.pmg) prolongation_transfer_kernel_action() (firedrake.preconditioners.pmg.StandaloneInterpolationMatrix static method) prolongation_transfer_kernel_aij() (in module firedrake.preconditioners.pmg) ProxyFunctionSpace (class in firedrake.functionspaceimpl) prune_sf() (in module firedrake.cython.dmcommon), [1] push_appctx() (in module firedrake.dmhooks) push_attr() (in module firedrake.dmhooks) push_ctx_coarsener() (in module firedrake.dmhooks) push_parent() (in module firedrake.dmhooks)

Q

quadrilateral_closure_ordering() (in module firedrake.cython.dmcommon), [1]

quadrilateral_facet_orientations() (in module firedrake.cython.dmcommon), [1] quiver() (in module firedrake.plot)

R

rand() (firedrake.randomfunctiongen.RandomGenerator method) randint() (firedrake.randomfunctiongen.RandomGenerator method) randn() (firedrake.randomfunctiongen.RandomGenerator method) random_integers() (firedrake.randomfunctiongen.RandomGenerator method) random_sample() (firedrake.randomfunctiongen.RandomGenerator method) RandomGenerator (class in firedrake.randomfunctiongen) RandomState (class in firedrake.randomfunctiongen) rank (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) (firedrake.functionspaceimpl.RealFunctionSpace attribute) rank() (firedrake.expression.Expression method) rayleigh() (firedrake.randomfunctiongen.RandomGenerator method) rcoefficients (firedrake.assemble_expressions.Assign attribute) read() (firedrake.checkpointing.HDF5File method) read_attribute() (firedrake.checkpointing.DumbCheckpoint method) real() (firedrake.assemble_expressions.Translator method) RealFunctionSpace (class in firedrake.functionspaceimpl) recompute() (firedrake.adjoint.blocks.FunctionMergeBlock method) recompute_component() (firedrake.adjoint.blocks.FunctionSplitBlock method) (firedrake.adjoint.blocks.InterpolateBlock method) (firedrake.adjoint.blocks.MeshInputBlock method) (firedrake.adjoint.blocks.MeshOutputBlock method) reconstruct() (firedrake.bcs.DirichletBC method) (firedrake.bcs.EquationBC method) (firedrake.ufl_expr.Argument method)

RectangleMesh() (in module firedrake.utility_meshes) recv() (firedrake.ensemble.Ensemble method) reduction_op() (in module firedrake.halo) refine() (in module firedrake.dmhooks) relabeller (firedrake.assemble_expressions.Assign attribute) remove_ghosts_pic() (in module firedrake.cython.dmcommon), [1] RemoveRestrictions (class in firedrake.slate.slac.utils) rename() (firedrake.parameters.Parameters method) reordered_coords() (in module firedrake.cython.dmcommon), [1] reshape() (in module firedrake.assemble_expressions) restore() (firedrake.bcs.DirichletBC method) restore_work_function() (firedrake.functionspaceimpl.WithGeometry method) restrict() (firedrake.mg.embedded.TransferManager method) (in module firedrake.mg.interface) restrict_kernel() (in module firedrake.mg.kernels) result_arg (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) rhs (firedrake.slate.static_condensation.la_utils.LAContext attribute) rvalue (firedrake.assemble_expressions.Assign attribute) (firedrake.assemble_expressions.AugmentedAssign attribute) (firedrake.assemble_expressions.IAdd attribute) (firedrake.assemble_expressions.IDiv attribute) (firedrake.assemble_expressions.IMul attribute) (firedrake.assemble_expressions.ISub attribute)

S

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) SCPC (class in firedrake.slate.static_condensation.scpc) seed() (firedrake.randomfunctiongen.DSFMT method) (firedrake.randomfunctiongen.MT19937 method) (firedrake.randomfunctiongen.PCG32 method) (firedrake.randomfunctiongen.PCG64 method) (firedrake.randomfunctiongen.Philox method) (firedrake.randomfunctiongen.RandomGenerator method) (firedrake.randomfunctiongen.RandomState method) (firedrake.randomfunctiongen.ThreeFry method) (firedrake.randomfunctiongen.ThreeFry32 method) (firedrake.randomfunctiongen.Xoroshiro128 method) (firedrake.randomfunctiongen.Xorshift1024 method) (firedrake.randomfunctiongen.Xoshiro256StarStar method) (firedrake.randomfunctiongen.Xoshiro512StarStar method) send() (firedrake.ensemble.Ensemble method) set_adjacency_callback() (in module firedrake.cython.dmcommon), [1] set_coefficients() (firedrake.mg.kernels.MacroKernelBuilder method) set_coordinates() (firedrake.mg.kernels.MacroKernelBuilder method) set_default_parameter() (firedrake.petsc.OptionsManager method) 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_patch_jacobian() (in module firedrake.cython.patchimpl), [1] set_patch_residual() (in module firedrake.cython.patchimpl), [1] 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) 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 attribute) shape (firedrake.functionspaceimpl.RealFunctionSpace attribute) (firedrake.slate.slac.kernel_builder.CoefficientInfo attribute) shape() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) shuffle() (firedrake.randomfunctiongen.RandomGenerator method) size() (firedrake.vector.Vector method) slate2gem() (in module firedrake.slate.slac.utils) slate_call() (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder method) slate_to_gem() (in module firedrake.slate.slac.utils) SlateWrapperBag (class in firedrake.slate.slac.kernel_builder) slope() (in module firedrake.optimizer) slow_key (firedrake.assemble_expressions.Assign attribute) SNESBase (class in firedrake.preconditioners.base)

Solve (class in firedrake.slate.slate) solve() (firedrake.linear_solver.LinearSolver method) (firedrake.variational_solver.NonlinearVariationalSolver method) (in module firedrake.solving) solve_init_params() (in module firedrake.adjoint.blocks) SolveLinearSystemBlock (class in firedrake.adjoint.blocks) SolveVarFormBlock (class in firedrake.adjoint.blocks) sort_entities() (firedrake.preconditioners.patch.PlaneSmoother method) space_index (firedrake.slate.slac.kernel_builder.CoefficientInfo attribute) SpatialIndex (class in firedrake.cython.spatialindex), [1] split (firedrake.assemble_expressions.Assign attribute) split() (firedrake.constant.Constant method) (firedrake.formmanipulation.ExtractSubBlock method) (firedrake.function.Function method) (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.WithGeometry method) 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) StandaloneInterpolationMatrix (class in firedrake.preconditioners.pmg) standard_cauchy() (firedrake.randomfunctiongen.RandomGenerator method) standard_exponential() (firedrake.randomfunctiongen.RandomGenerator method) standard_gamma() (firedrake.randomfunctiongen.RandomGenerator method) standard_normal() (firedrake.randomfunctiongen.RandomGenerator method) standard_t() (firedrake.randomfunctiongen.RandomGenerator method) step() (firedrake.preconditioners.patch.PatchSNES method) store() (firedrake.checkpointing.DumbCheckpoint method) streamplot() (in module firedrake.plot) sub() (firedrake.function.Function method) (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.WithGeometry method) subdomain_data() (firedrake.slate.slate.AssembledVector method) (firedrake.slate.slate.Block method) (firedrake.slate.slate.Factorization method) (firedrake.slate.slate.Tensor method) subdomain_id (firedrake.tsfc_interface.KernelInfo attribute) SubDomainData() (in module firedrake.mesh) sum() (firedrake.assemble_expressions.Translator method) (firedrake.vector.Vector method) supported_integral_types (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) supported_subdomain_types (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) (firedrake.slate.slac.kernel_builder.LocalLoopyKernelBuilder attribute) symbol (firedrake.assemble_expressions.Assign attribute) (firedrake.assemble_expressions.IAdd attribute) (firedrake.assemble_expressions.IDiv attribute) (firedrake.assemble_expressions.IMul attribute) (firedrake.assemble_expressions.ISub attribute) SymbolWithFuncallIndexing (class in firedrake.slate.slac.utils)

T

teardown() (firedrake.dmhooks.SetupHooks method) Tensor (class in firedrake.slate.slate) tensor (firedrake.slate.slac.tsfc_driver.ContextKernel attribute) tensor_product_space_query() (in module firedrake.preconditioners.pmg) TensorFunctionSpace() (in module firedrake.functionspace) terminal_flops (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) test_space (firedrake.linear_solver.LinearSolver attribute) TestFunction() (in module firedrake.ufl_expr) TestFunctions() (in module firedrake.ufl_expr) tet_barycentric_index() (in module firedrake.paraview_reordering) ThreeFry (class in firedrake.randomfunctiongen) ThreeFry32 (class in firedrake.randomfunctiongen) timed_region() (in module firedrake.slate.static_condensation.sc_base) to_reference_coordinates() (in module firedrake.mg.kernels) (in module firedrake.pointquery_utils) tomaxint() (firedrake.randomfunctiongen.RandomGenerator method) top_bottom_boundary_nodes() (in module firedrake.cython.extrusion_numbering), [1] top_nodes() (firedrake.functionspaceimpl.RealFunctionSpace method) topological (firedrake.functionspaceimpl.FunctionSpace attribute) topological() (firedrake.function.Function property) (firedrake.functionspaceimpl.MixedFunctionSpace property)

topological_sort() (in module firedrake.slate.slac.utils) TorusMesh() (in module firedrake.utility_meshes) TransferManager (class in firedrake.mg.embedded) TransferManager.Cache (class in firedrake.mg.embedded) transform_integrals() (in module firedrake.slate.slac.tsfc_driver) Transformer (class in firedrake.slate.slac.utils) Translator (class in firedrake.assemble_expressions) Transpose (class in firedrake.slate.slate) trial_space (firedrake.linear_solver.LinearSolver attribute) TrialFunction() (in module firedrake.ufl_expr) TrialFunctions() (in module firedrake.ufl_expr) triangular() (firedrake.randomfunctiongen.RandomGenerator method) tricontour() (in module firedrake.plot) tricontourf() (in module firedrake.plot) tripcolor() (in module firedrake.plot) triplot() (in module firedrake.plot) trisurf() (in module firedrake.plot) 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)

U

ufl_cell() (firedrake.functionspaceimpl.WithGeometry method) ufl_domains() (firedrake.slate.slate.AssembledVector method) (firedrake.slate.slate.Block 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.WithGeometry method) ufl_shape() (firedrake.expression.Expression property) uniform() (firedrake.randomfunctiongen.RandomGenerator method) unique_name() (in module firedrake.utils) 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.gtmg.GTMGPC method) (firedrake.preconditioners.massinv.MassInvPC method) (firedrake.preconditioners.pcd.PCDPC method) (firedrake.preconditioners.pmg.PMGPC method) (firedrake.slate.static_condensation.hybridization.HybridizationPC method) (firedrake.slate.static_condensation.scpc.SCPC 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), [1] value_shape() (firedrake.expression.Expression method) value_size (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) (firedrake.functionspaceimpl.RealFunctionSpace attribute) values() (firedrake.constant.Constant method) Vector (class in firedrake.vector) vector (firedrake.slate.slac.kernel_builder.CoefficientInfo attribute) vector() (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) view() (firedrake.matrix_free.operators.ImplicitMatrixContext method) (firedrake.preconditioners.asm.ASMPatchPC method) (firedrake.preconditioners.assembled.AssembledPC method) (firedrake.preconditioners.base.PCSNESBase method) (firedrake.preconditioners.gtmg.GTMGPC method) (firedrake.preconditioners.massinv.MassInvPC method) (firedrake.preconditioners.pcd.PCDPC method) (firedrake.preconditioners.pmg.PMGPC method) (firedrake.slate.static_condensation.hybridization.HybridizationPC method) (firedrake.slate.static_condensation.scpc.SCPC method)

visit_Decl() (firedrake.slate.slac.utils.Transformer method) visit_FunDecl() (firedrake.slate.slac.utils.Transformer method) visit_list() (firedrake.slate.slac.utils.Transformer method) visit_Node() (firedrake.slate.slac.utils.Transformer method) visit_object() (firedrake.slate.slac.utils.Transformer method) visit_Symbol() (firedrake.slate.slac.utils.Transformer method) vonmises() (firedrake.randomfunctiongen.RandomGenerator method) vtk_hex_local_to_cart() (in module firedrake.paraview_reordering) vtk_interval_local_coord() (in module firedrake.paraview_reordering) vtk_lagrange_hex_reorder() (in module firedrake.paraview_reordering) vtk_lagrange_interval_reorder() (in module firedrake.paraview_reordering) vtk_lagrange_quad_reorder() (in module firedrake.paraview_reordering) vtk_lagrange_tet_reorder() (in module firedrake.paraview_reordering) vtk_lagrange_triangle_reorder() (in module firedrake.paraview_reordering) vtk_lagrange_wedge_reorder() (in module firedrake.paraview_reordering) vtk_quad_local_to_cart() (in module firedrake.paraview_reordering) vtk_tet_local_to_cart() (in module firedrake.paraview_reordering) vtk_triangle_index_cart() (in module firedrake.paraview_reordering) vtk_triangle_local_to_cart() (in module firedrake.paraview_reordering) vtk_wedge_local_to_cart() (in module firedrake.paraview_reordering) vwr() (firedrake.checkpointing.DumbCheckpoint property)

W

wald() (firedrake.randomfunctiongen.RandomGenerator method) warning() (in module firedrake.logging) weibull() (firedrake.randomfunctiongen.RandomGenerator method) WithGeometry (class in firedrake.functionspaceimpl)

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

X

X_isub_dX() (in module firedrake.pointquery_utils) Xoroshiro128 (class in firedrake.randomfunctiongen)

Xorshift1024 (class in firedrake.randomfunctiongen) Xoshiro256StarStar (class in firedrake.randomfunctiongen) Xoshiro512StarStar (class in firedrake.randomfunctiongen)

Z

zipf() (firedrake.randomfunctiongen.RandomGenerator method)