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) assemble_mixed_mass_matrix() (in module firedrake.supermeshimpl) (in module firedrake.supermeshing) 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) beta() (firedrake.randomfunctiongen.RandomGenerator method) binomial() (firedrake.randomfunctiongen.RandomGenerator method)

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) bytes() (firedrake.randomfunctiongen.RandomGenerator method)

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) chisquare() (firedrake.randomfunctiongen.RandomGenerator method) choice() (firedrake.randomfunctiongen.RandomGenerator method) 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) complex_normal() (firedrake.randomfunctiongen.RandomGenerator method) 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) configure_patch() (firedrake.preconditioners.patch.PatchPC method) (firedrake.preconditioners.patch.PatchSNES 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) dirichlet() (firedrake.randomfunctiongen.RandomGenerator method) 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) 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) 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) exponential() (firedrake.randomfunctiongen.RandomGenerator method)

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

f() (firedrake.randomfunctiongen.RandomGenerator method) 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.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.spatialindex (module) firedrake.supermeshimpl (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) 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

gamma() (firedrake.randomfunctiongen.RandomGenerator method) gather() (firedrake.vector.Vector method) generator (firedrake.randomfunctiongen.DSFMT attribute) (firedrake.randomfunctiongen.MT19937 attribute) (firedrake.randomfunctiongen.PCG32 attribute) (firedrake.randomfunctiongen.PCG64 attribute) (firedrake.randomfunctiongen.Philox attribute) (firedrake.randomfunctiongen.ThreeFry attribute) (firedrake.randomfunctiongen.ThreeFry32 attribute) (firedrake.randomfunctiongen.Xoroshiro128 attribute) (firedrake.randomfunctiongen.Xorshift1024 attribute) (firedrake.randomfunctiongen.Xoshiro256StarStar attribute) (firedrake.randomfunctiongen.Xoshiro512StarStar attribute) geometric() (firedrake.randomfunctiongen.RandomGenerator method) get_appctx() (firedrake.preconditioners.base.PCSNESBase 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) gumbel() (firedrake.randomfunctiongen.RandomGenerator 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) 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) 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.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() (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) intersection_finder() (in module firedrake.supermeshimpl) (in module firedrake.supermeshing) 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) laplace() (firedrake.randomfunctiongen.RandomGenerator method) 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) logistic() (firedrake.randomfunctiongen.RandomGenerator method) lognormal() (firedrake.randomfunctiongen.RandomGenerator method) logseries() (firedrake.randomfunctiongen.RandomGenerator method)

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) MT19937 (class in firedrake.randomfunctiongen) Mul (class in firedrake.slate.slate) mult() (firedrake.matrix_free.operators.ImplicitMatrixContext method) multi_index() (firedrake.formmanipulation.ExtractSubBlock 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) (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.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.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) noncentral_chisquare() (firedrake.randomfunctiongen.RandomGenerator method) noncentral_f() (firedrake.randomfunctiongen.RandomGenerator method) 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) normal() (firedrake.randomfunctiongen.RandomGenerator method) 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) 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) 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.dmplex) plot() (in module firedrake.plot)

PointNotInDomainError poisson() (firedrake.randomfunctiongen.RandomGenerator method) 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) (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) Projector() (in module 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

rand() (firedrake.randomfunctiongen.RandomGenerator method) randint() (firedrake.randomfunctiongen.RandomGenerator method) randn() (firedrake.randomfunctiongen.RandomGenerator method) random_integers() (firedrake.randomfunctiongen.RandomGenerator method) random_raw() (firedrake.randomfunctiongen.RandomGenerator method) random_sample() (firedrake.randomfunctiongen.RandomGenerator method) random_uintegers() (firedrake.randomfunctiongen.RandomGenerator method) RandomGenerator (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) 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) 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.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() (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) (firedrake.preconditioners.base.PCSNESBase method) sf (firedrake.halo.Halo attribute) shape (firedrake.functionspaceimpl.RealFunctionSpace attribute) (firedrake.slate.slac.kernel_builder.CoefficientInfo attribute) 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) 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) 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 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) 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.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) triangular() (firedrake.randomfunctiongen.RandomGenerator 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_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) 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

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.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) vwr (firedrake.checkpointing.DumbCheckpoint attribute)

W

wald() (firedrake.randomfunctiongen.RandomGenerator method) walk() (firedrake.assemble_expressions.ExpressionWalker method) weibull() (firedrake.randomfunctiongen.RandomGenerator 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) Xoroshiro128 (class in firedrake.randomfunctiongen)

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

Z

zero() (firedrake.bcs.DirichletBC method)

zipf() (firedrake.randomfunctiongen.RandomGenerator method)