Index

A

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) algebra_operator() (firedrake.assemble_expressions.ExpressionWalker method) allreduce() (firedrake.ensemble.Ensemble method) annotate_assemble() (in module firedrake.adjoint.assembly) annotate_project() (in module firedrake.adjoint.projection) annotate_solve() (in module firedrake.adjoint.solving) apply() (firedrake.bcs.DirichletBC method) (firedrake.preconditioners.assembled.AssembledPC method) (firedrake.preconditioners.base.PCBase method) (firedrake.preconditioners.low_order.P1PC method) (firedrake.preconditioners.massinv.MassInvPC method) (firedrake.preconditioners.patch.PatchPC method) (firedrake.preconditioners.pcd.PCDPC 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.assembled.AssembledPC method) (firedrake.preconditioners.base.PCBase method) (firedrake.preconditioners.low_order.P1PC method) (firedrake.preconditioners.massinv.MassInvPC method) (firedrake.preconditioners.patch.PatchPC method) (firedrake.preconditioners.pcd.PCDPC method) (firedrake.slate.static_condensation.sc_base.SCBase method) arg() (firedrake.assemble_expressions.DummyFunction property) 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)

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) 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) (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) AssignmentBase (class in firedrake.assemble_expressions) at() (firedrake.function.Function method) attach_hooks() (in module firedrake.dmhooks) attributes() (firedrake.checkpointing.HDF5File method) AugmentedAssignment (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) Bag (class in firedrake.assemble_expressions) bary_to_cart() (in module firedrake.paraview_reordering) 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.GenericSolveBlock 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.dmplex) bounding_boxes() (in module firedrake.cython.spatialindex) 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.dmplex) cell_facet_sym (firedrake.slate.slac.kernel_builder.LocalKernelBuilder 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_sym (firedrake.slate.slac.kernel_builder.LocalKernelBuilder 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.dmplex) clear_cache() (in module firedrake.tsfc_interface) close() (firedrake.checkpointing.DumbCheckpoint method) (firedrake.checkpointing.HDF5File method) closure_ordering() (in module firedrake.cython.dmplex) 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() (in module firedrake.dmhooks) (in module firedrake.mg.ufl_utils) coefficient() (firedrake.assemble_expressions.ExpressionWalker method) (firedrake.slate.slac.kernel_builder.LocalKernelBuilder method) coefficient_map (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) coefficient_map() (firedrake.tsfc_interface.KernelInfo property) CoefficientInfo (class in firedrake.slate.slac.kernel_builder) coefficients() (firedrake.slate.slac.tsfc_driver.ContextKernel property) (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) 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) complex_normal() (firedrake.randomfunctiongen.RandomGenerator method) component (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) component_tensor() (firedrake.assemble_expressions.ExpressionSplitter 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) condition() (firedrake.assemble_expressions.ExpressionWalker method) conditional() (firedrake.assemble_expressions.ExpressionWalker method) configure_patch() (firedrake.preconditioners.patch.PatchPC method) (firedrake.preconditioners.patch.PatchSNES 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) 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_lgmap() (in module firedrake.cython.mgimpl) create_matrix() (in module firedrake.dmhooks) create_section() (in module firedrake.cython.dmplex) 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) 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) 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 property) DSFMT (class in firedrake.randomfunctiongen) DumbCheckpoint (class in firedrake.checkpointing) DummyFunction (class in firedrake.assemble_expressions) dX_norm_square() (in module firedrake.pointquery_utils)

E

eigen_tensor() (in module firedrake.slate.slac.utils) 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) 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.MeshInputBlock method) (firedrake.adjoint.blocks.MeshOutputBlock method) evaluate_expression() (in module firedrake.assemble_expressions) evaluate_hessian_component() (firedrake.adjoint.blocks.MeshInputBlock method) (firedrake.adjoint.blocks.MeshOutputBlock method) evaluate_preprocessed_expression() (in module firedrake.assemble_expressions) evaluate_tlm_component() (firedrake.adjoint.blocks.MeshInputBlock method) (firedrake.adjoint.blocks.MeshOutputBlock method)

exchange_cell_orientations() (in module firedrake.cython.dmplex) exponential() (firedrake.randomfunctiongen.RandomGenerator method) expr() (firedrake.assemble_expressions.IndexRelabeller 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) expression_kernel() (in module firedrake.assemble_expressions) ExpressionSplitter (class in firedrake.assemble_expressions) ExpressionWalker (class in firedrake.assemble_expressions) 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) 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_numbering() (in module firedrake.cython.dmplex) FacetNormal() (in module firedrake.ufl_expr) Factorization (class in firedrake.slate.slate) field_idx() (firedrake.slate.static_condensation.la_utils.LAContext property) File (class in firedrake.output) FILE_CREATE (in module firedrake.checkpointing) FILE_READ (in module firedrake.checkpointing) FILE_UPDATE (in module firedrake.checkpointing) filter_exterior_facet_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.assembly (module) firedrake.adjoint.blocks (module) firedrake.adjoint.constant (module) firedrake.adjoint.dirichletbc (module) firedrake.adjoint.function (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.dmplex (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.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.assembled (module) firedrake.preconditioners.base (module) firedrake.preconditioners.low_order (module) firedrake.preconditioners.massinv (module) firedrake.preconditioners.patch (module) firedrake.preconditioners.pcd (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) flush() (firedrake.checkpointing.HDF5File method) form() (firedrake.formmanipulation.SplitForm property) (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) 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) FunctionMixin (class in firedrake.adjoint.function) FunctionSpace (class in firedrake.functionspaceimpl) FunctionSpace() (in module firedrake.functionspace)

G

gamma() (firedrake.randomfunctiongen.RandomGenerator method) gather() (firedrake.vector.Vector 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.dmplex) get_cell_nodes() (in module firedrake.cython.dmplex) get_cell_remote_ranks() (in module firedrake.cython.dmplex) get_ctx_coarsener() (in module firedrake.dmhooks)

get_derivative() (firedrake.adjoint.constant.ConstantMixin method) get_entity_classes() (in module firedrake.cython.dmplex) get_entity_renumbering() (in module firedrake.cython.mgimpl) get_facet_markers() (in module firedrake.cython.dmplex) get_facet_nodes() (in module firedrake.cython.dmplex) get_facet_ordering() (in module firedrake.cython.dmplex) get_facets_by_class() (in module firedrake.cython.dmplex) get_function_space() (in module firedrake.dmhooks) get_h5py_file() (in module firedrake.cython.hdf5interface) get_level() (in module firedrake.mg.utils) get_local() (firedrake.vector.Vector method) get_parent() (in module firedrake.dmhooks) get_shared_data() (in module firedrake.functionspacedata) get_timestamps() (firedrake.checkpointing.HDF5File method) get_timesteps() (firedrake.checkpointing.DumbCheckpoint method) get_transfer_operators() (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) gumbel() (firedrake.randomfunctiongen.RandomGenerator method)

H

h5file() (firedrake.checkpointing.DumbCheckpoint property) Halo (class in firedrake.halo) halo_begin() (in module firedrake.cython.dmplex) halo_end() (in module firedrake.cython.dmplex) 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) ImplicitMatrix (class in firedrake.matrix) ImplicitMatrixContext (class in firedrake.matrix_free.operators) IMul (class in firedrake.assemble_expressions) index (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) index_inliner (firedrake.formmanipulation.ExtractSubBlock attribute) indexed() (firedrake.assemble_expressions.ExpressionSplitter method) (firedrake.formmanipulation.ExtractSubBlock.IndexInliner method) IndexedFunctionSpace() (in module firedrake.functionspaceimpl) IndexRelabeller (class in firedrake.assemble_expressions) indices() (firedrake.formmanipulation.SplitForm property) (firedrake.tsfc_interface.SplitKernel property) 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) initialize() (firedrake.preconditioners.assembled.AssembledPC method) (firedrake.preconditioners.base.PCSNESBase method) (firedrake.preconditioners.low_order.P1PC method) (firedrake.preconditioners.massinv.MassInvPC 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) inserted_options() (firedrake.petsc.OptionsManager method) inside_check() (in module firedrake.pointquery_utils) integral_type() (firedrake.slate.slac.kernel_builder.LocalKernelBuilder property) (firedrake.tsfc_interface.KernelInfo property) integrals() (firedrake.bcs.DirichletBC method) 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) Interpolator (class in firedrake.interpolation) intersection_finder() (in module firedrake.cython.supermeshimpl) (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_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)

K

kernel() (firedrake.tsfc_interface.KernelInfo property) KernelInfo (class in firedrake.tsfc_interface)

kinfo() (firedrake.tsfc_interface.SplitKernel property) known_pyop2_safe() (in module firedrake.utils)

L

label_facets() (in module firedrake.cython.dmplex) LAContext (class in firedrake.slate.static_condensation.la_utils) laplace() (firedrake.randomfunctiongen.RandomGenerator method) layer_extents() (in module firedrake.cython.extrusion_numbering) lhs() (firedrake.slate.static_condensation.la_utils.LAContext property) 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_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 property) 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) log() (in module firedrake.logging) logistic() (firedrake.randomfunctiongen.RandomGenerator method) lognormal() (firedrake.randomfunctiongen.RandomGenerator method) logseries() (firedrake.randomfunctiongen.RandomGenerator method) loopy_inst_abs() (in module firedrake.assemble_expressions) loopy_inst_assign() (in module firedrake.assemble_expressions) loopy_inst_aug_assign() (in module firedrake.assemble_expressions) loopy_inst_binary() (in module firedrake.assemble_expressions) loopy_inst_compare() (in module firedrake.assemble_expressions) loopy_inst_component_tensor() (in module firedrake.assemble_expressions) loopy_inst_conditional() (in module firedrake.assemble_expressions) loopy_inst_func() (in module firedrake.assemble_expressions) loopy_inst_mathfunc() (in module firedrake.assemble_expressions) loopy_inst_max() (in module firedrake.assemble_expressions) loopy_inst_min() (in module firedrake.assemble_expressions) loopy_inst_power() (in module firedrake.assemble_expressions) loopy_inst_scalar() (in module firedrake.assemble_expressions) loopy_inst_zero() (in module firedrake.assemble_expressions) loopy_instructions() (in module firedrake.assemble_expressions)

M

MacroKernelBuilder (class in firedrake.mg.kernels) make_args() (in module firedrake.pointquery_utils) 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.dmplex) make_wrapper() (in module firedrake.pointquery_utils) mark_entity_classes() (in module firedrake.cython.dmplex) MassInvPC (class in firedrake.preconditioners.massinv) mat_type (firedrake.matrix.MatrixBase attribute) math_function() (firedrake.assemble_expressions.ExpressionWalker method) Matrix (class in firedrake.matrix) MatrixBase (class in firedrake.matrix) max() (firedrake.vector.Vector method) max_work_functions() (firedrake.functionspaceimpl.WithGeometry property) mesh() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.WithGeometry method)

Mesh() (in module firedrake.mesh) 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) MixedFunctionSpace (class in firedrake.functionspaceimpl) MixedFunctionSpace() (in module firedrake.functionspace) MixedVectorSpaceBasis (class in firedrake.nullspace) MT19937 (class in firedrake.randomfunctiongen) Mul (class in firedrake.slate.slate) mult() (firedrake.matrix_free.operators.ImplicitMatrixContext method) multi_index() (firedrake.assemble_expressions.IndexRelabeller method) (firedrake.formmanipulation.ExtractSubBlock method) (firedrake.formmanipulation.ExtractSubBlock.IndexInliner method) multinomial() (firedrake.randomfunctiongen.RandomGenerator method) multivariate_normal() (firedrake.randomfunctiongen.RandomGenerator method) multTranspose() (firedrake.matrix_free.operators.ImplicitMatrixContext method)

N

name (firedrake.functionspaceimpl.FunctionSpace attribute) name() (firedrake.parameters.Parameters method) needs_cell_facets (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) needs_cell_facets() (firedrake.tsfc_interface.KernelInfo property) needs_cell_sizes() (firedrake.tsfc_interface.KernelInfo property) 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.low_order.P1PC 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) no_dats (firedrake.functionspaceimpl.ProxyFunctionSpace attribute) node_classes() (in module firedrake.cython.extrusion_numbering)

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 property) 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) operator() (firedrake.assemble_expressions.ExpressionSplitter method) (firedrake.assemble_expressions.ExpressionWalker method)

options_object (firedrake.petsc.OptionsManager attribute) OptionsManager (class in firedrake.petsc) orientations_facet2cell() (in module firedrake.cython.dmplex) oriented (firedrake.mg.kernels.MacroKernelBuilder attribute) oriented() (firedrake.tsfc_interface.KernelInfo property) original_integral_type() (firedrake.slate.slac.tsfc_driver.ContextKernel property) orthogonalize() (firedrake.nullspace.VectorSpaceBasis method) orthonormalize() (firedrake.nullspace.VectorSpaceBasis method)

P

P1PC (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.MixedFunctionSpace attribute) pareto() (firedrake.randomfunctiongen.RandomGenerator method) pass_layer_arg() (firedrake.tsfc_interface.KernelInfo property) 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) PeriodicIntervalMesh() (in module firedrake.utility_meshes) PeriodicRectangleMesh() (in module firedrake.utility_meshes) PeriodicSquareMesh() (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.dmplex) plot() (in module firedrake.plot) PointNotInDomainError

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) product() (firedrake.assemble_expressions.ExpressionSplitter 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) ProxyFunctionSpace (class in firedrake.functionspaceimpl) prune_sf() (in module firedrake.cython.dmplex) 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.dmplex)

quadrilateral_facet_orientations() (in module firedrake.cython.dmplex)

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) read() (firedrake.checkpointing.HDF5File method) read_attribute() (firedrake.checkpointing.DumbCheckpoint method) RealFunctionSpace (class in firedrake.functionspaceimpl) recompute_component() (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) relabel_indices() (in module firedrake.assemble_expressions) RemoveRestrictions (class in firedrake.slate.slac.utils) rename() (firedrake.parameters.Parameters method) reordered_coords() (in module firedrake.cython.dmplex) 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) rhs() (firedrake.slate.static_condensation.la_utils.LAContext property)

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.dmplex) 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) set_patch_residual() (in module firedrake.cython.patchimpl) 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) shape() (firedrake.slate.slac.kernel_builder.CoefficientInfo property) shuffle() (firedrake.randomfunctiongen.RandomGenerator method) size() (firedrake.vector.Vector method)

slope() (in module firedrake.optimizer) 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 property) SpatialIndex (class in firedrake.cython.spatialindex) split() (firedrake.assemble_expressions.ExpressionSplitter method) (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) 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) 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 property) SubDomainData() (in module firedrake.mesh) sum() (firedrake.vector.Vector method) supported_integral_types (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) supported_subdomain_types (firedrake.slate.slac.kernel_builder.LocalKernelBuilder 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 property) TensorFunctionSpace() (in module firedrake.functionspace) terminal() (firedrake.assemble_expressions.ExpressionSplitter method) 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)

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) Transpose (class in firedrake.slate.slate) traverse_dags() (in module firedrake.slate.slac.utils) trial_space (firedrake.linear_solver.LinearSolver attribute) TrialFunction() (in module firedrake.ufl_expr) TrialFunctions() (in module firedrake.ufl_expr) triangular() (firedrake.randomfunctiongen.RandomGenerator method) tsfc_kernels() (firedrake.slate.slac.tsfc_driver.ContextKernel property) 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_free_indices (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) ufl_function_space() (firedrake.functionspaceimpl.WithGeometry method) ufl_index_dimensions (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) ufl_shape (firedrake.assemble_expressions.Assign attribute) (firedrake.assemble_expressions.AssignmentBase attribute)

ufl_shape() (firedrake.expression.Expression property) ufl_type() (in module firedrake.assemble_expressions) uniform() (firedrake.randomfunctiongen.RandomGenerator method) unique_name() (in module firedrake.utils) UnitCubedSphereMesh() (in module firedrake.utility_meshes) UnitCubeMesh() (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.assembled.AssembledPC method) (firedrake.preconditioners.base.PCSNESBase method) (firedrake.preconditioners.low_order.P1PC method) (firedrake.preconditioners.massinv.MassInvPC method) (firedrake.preconditioners.pcd.PCDPC 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.dmplex) 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.function.Function method) (firedrake.slate.slac.kernel_builder.CoefficientInfo property) VectorFunctionSpace() (in module firedrake.functionspace) VectorSpaceBasis (class in firedrake.nullspace) VERTEX (firedrake.mesh.DistributedMeshOverlapType attribute) VertexBasedLimiter (class in firedrake.slope_limiter.vertex_based_limiter) view() (firedrake.matrix_free.operators.ImplicitMatrixContext method) (firedrake.preconditioners.assembled.AssembledPC method) (firedrake.preconditioners.base.PCSNESBase method) (firedrake.preconditioners.low_order.P1PC method) (firedrake.preconditioners.massinv.MassInvPC method) (firedrake.preconditioners.pcd.PCDPC 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) walk() (firedrake.assemble_expressions.ExpressionWalker 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)