Index

A

a (firedrake.matrix.MatrixBase attribute) action() (in module firedrake.ufl_expr) Add (class in firedrake.slate.slate) add() (firedrake.parameters.Parameters method) add_bc() (firedrake.matrix.MatrixBase method) adjoint() (in module firedrake.ufl_expr) algebra_operator() (firedrake.assemble_expressions.ExpressionWalker method) allreduce() (firedrake.ensemble.Ensemble method) appctx (class in firedrake.dmhooks) 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 attribute) 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) (firedrake.matrix.MatrixBase method) (in module firedrake.assemble) assemble_expression() (in module firedrake.assemble_expressions) 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) ast (firedrake.assemble_expressions.AssignmentBase attribute) (firedrake.assemble_expressions.ComponentTensor attribute) (firedrake.assemble_expressions.DummyFunction attribute) (firedrake.assemble_expressions.Indexed attribute) (firedrake.assemble_expressions.Ln attribute) (firedrake.assemble_expressions.Power attribute) 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

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) bcs (firedrake.matrix.MatrixBase attribute)

Block (class in firedrake.slate.slate) bottom_nodes() (firedrake.functionspaceimpl.RealFunctionSpace method) boundary_nodes() (firedrake.functionspaceimpl.FunctionSpace method) (in module firedrake.dmplex) bounding_boxes() (in module firedrake.spatialindex) BoxMesh() (in module firedrake.utility_meshes)

C

cell_entity_masks() (in module firedrake.extrusion_numbering) cell_facet_labeling() (in module firedrake.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) CircleManifoldMesh() (in module firedrake.utility_meshes) clear_adjacency_callback() (in module firedrake.dmplex) clear_cache() (in module firedrake.tsfc_interface) close() (firedrake.checkpointing.DumbCheckpoint method) (firedrake.checkpointing.HDF5File method) closure_ordering() (in module firedrake.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.mg.impl) coarse_to_fine_nodes() (in module firedrake.mg.impl) 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) (firedrake.tsfc_interface.KernelInfo attribute) CoefficientInfo (class in firedrake.slate.slac.kernel_builder) coefficients (firedrake.slate.slac.tsfc_driver.ContextKernel attribute) coefficients() (firedrake.slate.slate.AssembledVector method) (firedrake.slate.slate.Block method) (firedrake.slate.slate.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) 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) component (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) component_tensor() (firedrake.assemble_expressions.ExpressionSplitter method) (firedrake.assemble_expressions.ExpressionWalker method) ComponentFunctionSpace() (in module firedrake.functionspaceimpl) ComponentTensor (class in firedrake.assemble_expressions) compute_bounds() (firedrake.slope_limiter.limiter.Limiter method) (firedrake.slope_limiter.vertex_based_limiter.VertexBasedLimiter method) 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) Constant (class in firedrake.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.mg.impl) create_matrix() (in module firedrake.dmhooks) create_section() (in module firedrake.dmplex) create_subdm() (in module firedrake.dmhooks) createSubMatrix() (firedrake.matrix_free.operators.ImplicitMatrixContext method) ctx_coarsener (class in firedrake.dmhooks) ctypes (firedrake.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) depth_first_search() (in module firedrake.slate.slac.utils) derivative() (in module firedrake.ufl_expr) dg_injection_kernel() (in module firedrake.mg.kernels) dim() (firedrake.functionspaceimpl.FunctionSpace method) (firedrake.functionspaceimpl.MixedFunctionSpace method) (firedrake.functionspaceimpl.RealFunctionSpace method) direct (in module firedrake.parloops) DirichletBC (class in firedrake.bcs) 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_args (firedrake.bcs.DirichletBC attribute) domain_number (firedrake.tsfc_interface.KernelInfo attribute) 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) EmbeddedDGTransfer() (in module firedrake.mg.embedded) 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.extrusion_numbering) entity_reordering() (in module firedrake.extrusion_utils) errornorm() (in module firedrake.norms) evaluate() (firedrake.constant.Constant method) (firedrake.function.Function method) evaluate_expression() (in module firedrake.assemble_expressions) evaluate_preprocessed_expression() (in module firedrake.assemble_expressions) exchange_cell_orientations() (in module firedrake.dmplex)

expr() (firedrake.formmanipulation.ExtractSubBlock method) (firedrake.slate.slac.utils.RemoveRestrictions 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) ExtrudedMesh() (in module firedrake.mesh) ExtrudedMeshHierarchy() (in module firedrake.mg.mesh)

F

FACET (firedrake.mesh.DistributedMeshOverlapType attribute) facet_entity_masks() (in module firedrake.extrusion_numbering) facet_numbering() (in module firedrake.dmplex) FacetNormal() (in module firedrake.ufl_expr) Factorization (class in firedrake.slate.slate) 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_exterior_facet_labels() (in module firedrake.mg.impl) finat_element (firedrake.functionspaceimpl.RealFunctionSpace attribute) fine_node_to_coarse_node_map() (in module firedrake.mg.utils) fine_to_coarse_nodes() (in module firedrake.mg.impl) firedrake (module) firedrake.assemble (module) firedrake.assemble_expressions (module) firedrake.bcs (module) firedrake.checkpointing (module) firedrake.constant (module) firedrake.dmhooks (module) firedrake.dmplex (module) firedrake.ensemble (module) firedrake.exceptions (module) firedrake.expression (module) firedrake.extrusion_numbering (module) firedrake.extrusion_utils (module) firedrake.formmanipulation (module) firedrake.function (module) firedrake.functionspace (module) firedrake.functionspacedata (module) firedrake.functionspaceimpl (module) firedrake.halo (module) firedrake.hdf5interface (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.impl (module) firedrake.mg.interface (module) firedrake.mg.kernels (module) firedrake.mg.mesh (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.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.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.spatialindex (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) flat_entity_dofs() (in module firedrake.extrusion_utils) flush() (firedrake.checkpointing.HDF5File method) force_evaluation() (firedrake.matrix.ImplicitMatrix method) (firedrake.matrix.Matrix method) (firedrake.matrix.MatrixBase 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.spatialindex) Function (class in firedrake.function) function_arg (firedrake.bcs.DirichletBC attribute) function_space() (firedrake.bcs.DirichletBC method) (firedrake.constant.Constant method) (firedrake.function.Function method) (firedrake.ufl_expr.Argument method) FunctionSpace (class in firedrake.functionspaceimpl) FunctionSpace() (in module firedrake.functionspace)

G

gather() (firedrake.vector.Vector method) get_appctx() (firedrake.preconditioners.base.PCBase static method) (in module firedrake.dmhooks) get_cell_markers() (in module firedrake.dmplex) get_cell_nodes() (in module firedrake.dmplex) get_cell_remote_ranks() (in module firedrake.dmplex) get_ctx_coarsener() (in module firedrake.dmhooks) get_dm() (firedrake.dmhooks.appctx static method) get_entity_classes() (in module firedrake.dmplex) get_entity_renumbering() (in module firedrake.mg.impl) get_facet_markers() (in module firedrake.dmplex) get_facet_nodes() (in module firedrake.dmplex) get_facet_ordering() (in module firedrake.dmplex)

get_facets_by_class() (in module firedrake.dmplex) get_function_space() (in module firedrake.dmhooks) get_h5py_file() (in module firedrake.hdf5interface) get_level() (in module firedrake.mg.utils) get_local() (firedrake.vector.Vector method) 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) 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)

H

h5file (firedrake.checkpointing.DumbCheckpoint attribute) Halo (class in firedrake.halo) halo_begin() (in module firedrake.dmplex) halo_end() (in module firedrake.dmplex) has_attribute() (firedrake.checkpointing.DumbCheckpoint method) has_bcs (firedrake.matrix.MatrixBase attribute)

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)

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) Indexed (class in firedrake.assemble_expressions) indexed() (firedrake.assemble_expressions.ExpressionSplitter method) (firedrake.assemble_expressions.ExpressionWalker method) IndexedFunctionSpace() (in module firedrake.functionspaceimpl) indices (firedrake.formmanipulation.SplitForm attribute) (firedrake.tsfc_interface.SplitKernel attribute) 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.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.hybridization.HybridizationPC method) (firedrake.slate.static_condensation.scpc.SCPC method)

inject() (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 attribute) (firedrake.tsfc_interface.KernelInfo attribute) 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) IntervalMesh() (in module firedrake.utility_meshes) invalidate_jacobian() (firedrake.variational_solver.LinearVariationalSolver method) Inverse (class in firedrake.slate.slate) 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 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.dmplex) LAContext (class in firedrake.slate.static_condensation.la_utils) layer_extents() (in module firedrake.extrusion_numbering) 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) Ln (class in firedrake.assemble_expressions)

ln() (firedrake.assemble_expressions.ExpressionWalker method) 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 attribute) local_to_global_begin() (firedrake.halo.Halo method) local_to_global_end() (firedrake.halo.Halo method) local_to_global_numbering (firedrake.halo.Halo attribute) LocalKernelBuilder (class in firedrake.slate.slac.kernel_builder)

M

M (firedrake.matrix.Matrix attribute) 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.dmplex) make_wrapper() (in module firedrake.pointquery_utils) mark_entity_classes() (in module firedrake.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 attribute) 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) MeshHierarchy() (in module firedrake.mg.mesh) MixedFunctionSpace (class in firedrake.functionspaceimpl) MixedFunctionSpace() (in module firedrake.functionspace) MixedVectorSpaceBasis (class in firedrake.nullspace) Mul (class in firedrake.slate.slate) mult() (firedrake.matrix_free.operators.ImplicitMatrixContext method) multi_index() (firedrake.formmanipulation.ExtractSubBlock 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) (firedrake.tsfc_interface.KernelInfo attribute) needs_cell_sizes (firedrake.tsfc_interface.KernelInfo attribute) needs_mesh_layers (firedrake.slate.slac.kernel_builder.LocalKernelBuilder attribute) Negative (class in firedrake.slate.slate) new_file() (firedrake.checkpointing.DumbCheckpoint method) no_dats (firedrake.functionspaceimpl.ProxyFunctionSpace attribute) node_classes() (in module firedrake.extrusion_numbering) node_count (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute)

node_set (firedrake.bcs.DirichletBC attribute) (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) nodes (firedrake.bcs.DirichletBC attribute) NONE (firedrake.mesh.DistributedMeshOverlapType attribute) NonlinearVariationalProblem (class in firedrake.variational_solver) NonlinearVariationalSolver (class in firedrake.variational_solver) NonNestedHierarchy() (in module firedrake.mg.mesh) norm() (in module firedrake.norms) nullspace() (firedrake.nullspace.VectorSpaceBasis method) num_sub_spaces() (firedrake.functionspaceimpl.MixedFunctionSpace method) num_work_functions (firedrake.functionspaceimpl.WithGeometry attribute)

O

OctahedralSphereMesh() (in module firedrake.utility_meshes) offset_index (firedrake.slate.slac.kernel_builder.CoefficientInfo attribute) on_diag (firedrake.matrix_free.operators.ImplicitMatrixContext attribute) 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.dmplex) 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) Parameters (class in firedrake.parameters) parameters (in module firedrake.parameters) parent (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) pass_layer_arg (firedrake.tsfc_interface.KernelInfo attribute) PatchPC (class in firedrake.preconditioners.patch) PCBase (class in firedrake.preconditioners.base) PCDPC (class in firedrake.preconditioners.pcd) 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) physical_node_locations() (in module firedrake.mg.utils) PlaneSmoother (class in firedrake.preconditioners.patch) plex_renumbering() (in module firedrake.dmplex) plot() (in module firedrake.plot) PointNotInDomainError pop_appctx() (in module firedrake.dmhooks) pop_ctx_coarsener() (in module firedrake.dmhooks)

pop_transfer_operators() (in module firedrake.dmhooks) positive_restricted() (firedrake.slate.slac.utils.RemoveRestrictions method) Power (class in firedrake.assemble_expressions) power() (firedrake.assemble_expressions.ExpressionWalker 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) (firedrake.projection.Projector method) (in module firedrake.projection) Projector (class in firedrake.projection) prolong() (in module firedrake.mg.interface) prolong_kernel() (in module firedrake.mg.kernels) ProxyFunctionSpace (class in firedrake.functionspaceimpl) prune_sf() (in module firedrake.dmplex) push_appctx() (in module firedrake.dmhooks) push_ctx_coarsener() (in module firedrake.dmhooks) push_transfer_operators() (in module firedrake.dmhooks)

Q

quadrilateral_closure_ordering() (in module firedrake.dmplex)

quadrilateral_facet_orientations() (in module firedrake.dmplex)

R

rank (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute) (firedrake.functionspaceimpl.RealFunctionSpace attribute) rank() (firedrake.expression.Expression method) read() (firedrake.checkpointing.HDF5File method) read_attribute() (firedrake.checkpointing.DumbCheckpoint method) RealFunctionSpace (class in firedrake.functionspaceimpl) reconstruct() (firedrake.bcs.DirichletBC method) (firedrake.ufl_expr.Argument method) RectangleMesh() (in module firedrake.utility_meshes)

recv() (firedrake.ensemble.Ensemble method) refine() (in module firedrake.dmhooks) RemoveRestrictions (class in firedrake.slate.slac.utils) rename() (firedrake.parameters.Parameters method) reordered_coords() (in module firedrake.dmplex) restore() (firedrake.bcs.DirichletBC method) restore_work_function() (firedrake.functionspaceimpl.WithGeometry method) restrict() (in module firedrake.mg.interface) restrict_kernel() (in module firedrake.mg.kernels) rhs (firedrake.slate.static_condensation.la_utils.LAContext 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) send() (firedrake.ensemble.Ensemble method) set() (firedrake.bcs.DirichletBC method) set_adjacency_callback() (in module firedrake.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_timestep() (firedrake.checkpointing.DumbCheckpoint method) set_transfer_operators() (firedrake.variational_solver.NonlinearVariationalSolver method) set_update_function() (firedrake.parameters.Parameters method) set_value() (firedrake.bcs.DirichletBC method) setUp() (firedrake.preconditioners.base.PCBase method) sf (firedrake.halo.Halo attribute) shape (firedrake.functionspaceimpl.RealFunctionSpace attribute) (firedrake.slate.slac.kernel_builder.CoefficientInfo attribute) size() (firedrake.vector.Vector method) slope() (in module firedrake.optimizer) Solve (class in firedrake.slate.slate) solve() (firedrake.linear_solver.LinearSolver method) (firedrake.variational_solver.NonlinearVariationalSolver method) (in module firedrake.solving)

sort_entities() (firedrake.preconditioners.patch.PlaneSmoother method) space_index (firedrake.slate.slac.kernel_builder.CoefficientInfo attribute) SpatialIndex (class in firedrake.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) 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 attribute) 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

Tensor (class in firedrake.slate.slate) tensor (firedrake.slate.slac.tsfc_driver.ContextKernel attribute) 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) timed_region() (in module firedrake.slate.static_condensation.sc_base) to_reference_coordinates() (in module firedrake.mg.kernels) (in module firedrake.pointquery_utils) top_bottom_boundary_nodes() (in module firedrake.extrusion_numbering) top_nodes() (firedrake.functionspaceimpl.RealFunctionSpace method) topological (firedrake.function.Function attribute) (firedrake.functionspaceimpl.FunctionSpace attribute) (firedrake.functionspaceimpl.MixedFunctionSpace attribute)

topological_sort() (in module firedrake.slate.slac.utils) TorusMesh() (in module firedrake.utility_meshes) transfer_operators (class in firedrake.dmhooks) 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) 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_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) (firedrake.expression.Expression attribute)

ufl_type() (in module firedrake.assemble_expressions) 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.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.hybridization.HybridizationPC method) (firedrake.slate.static_condensation.scpc.SCPC method) user_construction_op() (firedrake.preconditioners.patch.PatchPC static method)

V

validate_mesh() (in module firedrake.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.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) view() (firedrake.matrix_free.operators.ImplicitMatrixContext 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.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) vwr (firedrake.checkpointing.DumbCheckpoint attribute)

W

walk() (firedrake.assemble_expressions.ExpressionWalker method) WithGeometry (class in firedrake.functionspaceimpl)

write() (firedrake.checkpointing.HDF5File method) (firedrake.output.File method) write_attribute() (firedrake.checkpointing.DumbCheckpoint method)

X

X_isub_dX() (in module firedrake.pointquery_utils)

Z

zero() (firedrake.bcs.DirichletBC method)