Index

A

adapt() (in module animate.adapt) adapted_mesh (MetricBasedAdaptor attribute) AdaptParameters (class in goalie.options) add_edges() (in module UM2N.loader.data_transform) AdjointMeshSeq (class in goalie.adjoint) AdjointSolutionData (class in goalie.function_data) AggreateDataset (class in UM2N.loader.dataset) animate module animate.adapt module animate.checkpointing module animate.interpolation module

animate.math module animate.metric module animate.quality module animate.recovery module animate.utility module annotate_qoi() (in module goalie.adjoint) arg_parse() (in module UM2N.loader.data_transform) assemble_eigendecomposition() (RiemannianMetric method) attach_feature() (MeshProcessor method) AttrDict (class in goalie.utility) average() (RiemannianMetric method)

B

bessi0() (in module goalie.math) bessk0() (in module goalie.math)

BurgersEvaluator (class in UM2N.test.bench_burgers) BurgersSolver (class in UM2N.generator.burgers_solver)

C

calc_dist() (in module UM2N.loader.cluster_utils) check() (MeshTanglingChecker method) check_dataset_tangle() (in module UM2N.test.tangle) check_element_count_convergence() (MeshSeq method) check_estimator_convergence() (GoalOrientedMeshSeq method) check_qoi_convergence() (AdjointMeshSeq method) clement_interpolant() (in module animate.interpolation) coefficient_of_variation (PrimeMover property) combine() (RiemannianMetric method) compare_error() (in module UM2N.test.compare_hlmhltz) complexity() (RiemannianMetric method) compute_anisotropic_dwr_metric() (RiemannianMetric method) compute_boundary_hessian() (RiemannianMetric method)

compute_eigendecomposition() (RiemannianMetric method) compute_hessian() (RiemannianMetric method) compute_isotropic_dwr_metric() (RiemannianMetric method) compute_isotropic_metric() (RiemannianMetric method) compute_weighted_hessian_metric() (RiemannianMetric method) construct_basis() (in module animate.math) copy() (RiemannianMetric method) count_dataset_tangle() (in module UM2N.model.train_util) count_dataset_tangle_repeat_sampling() (in module UM2N.model.train_util) count_elements() (MeshSeq method) count_vertices() (MeshSeq method) create_directory() (in module goalie.utility) critical() (in module goalie.log)

D

debug() (in module goalie.log) (MeshSeq method) (TimePartition method) DeformGAT (class in UM2N.model.gatdeformer) density_and_quotients() (RiemannianMetric method)

determine_metric_complexity() (in module animate.metric) discretise() (HelmholtzEqGenerator method) (PoissonEqGenerator method) (RandHelmholtzEqGenerator method) (RandPoissonEqGenerator method)

E

effectivity_index() (in module goalie.utility) enforce_spd() (RiemannianMetric method) enforce_variable_constraints() (in module goalie.metric) EquationSolver (class in UM2N.generator.equation_solver) equidistributor (MongeAmpereMover_QuasiNewton property) (MongeAmpereMover_Relaxation property) error() (in module goalie.log) error_estimate() (GoalOrientedMeshSeq method)

errornorm() (in module animate.utility) eval_problem() (BurgersEvaluator method) (SwirlEvaluator method) (SwirlSolver method) evaluate() (in module UM2N.model.train_util) evaluate_repeat() (in module UM2N.model.train_util) evaluate_repeat_sampling() (in module UM2N.model.train_util) evaluate_unsupervised() (in module UM2N.model.train_util)

F

find_bd() (MeshProcessor method) find_boundary() (DeformGAT method) (M2TDeformer method) (RecurrentGATConv method), [1] find_edges() (MeshProcessor method) fix_boundary() (DeformGAT method) (M2TDeformer method) (RecurrentGATConv method), [1] fixed_point_iteration() (GoalOrientedMeshSeq method) (MeshSeq method) form (MeshSeq property) forward() (DeformGAT method) (GlobalFeatExtractor method) (LocalFeatExtractor method) (M2N method) (M2N_dynamic_drop method) (M2N_dynamic_no_drop method) (M2N_T method) (M2NAtten method) (M2T method) (M2TDeformer method) (MLP_model method) (MRN method) (MRN_fix method) (MRN_phi method) (MRNAtten method) (MRNGlobalTransformerEncoder method) (MRNLocalTransformerEncoder method) (MRT_phi method) (MRTransformer method) (RecurrentGATConv method), [1], [2] (TangleCounter method) (TransformerBlock method) (TransformerModel method)

ForwardSolutionData (class in goalie.function_data) function_spaces (MeshSeq property)

G

get_area_loss() (in module UM2N.model.train_util) get_attention_scores() (M2T method) (MRTransformer method) (TransformerModel method) get_boundaries() (RandPolyMesh method) (UnstructuredSquareMesh method) get_c() (in module UM2N.generator.swirl_demo) (in module UM2N.generator.swirl_solver) (in module UM2N.generator.swirl_solver_step) get_checkpoint_dir() (in module animate.checkpointing) get_checkpoints() (AdjointMeshSeq method) (MeshSeq method) get_conv_feat() (MeshProcessor method) get_conv_feat_poly() (MeshProcessor method) get_conv_feature() (MeshDataset method) get_conv_feature_fix() (MeshDataset method) get_corner_points() (UnstructuredSquareMesh method) get_curve() (RandPolyMesh method) (UnstructuredSquareMesh method) get_dist_params() (RandSourceGenerator method) get_dwr_indicator() (in module goalie.error_estimation) get_enriched_mesh_seq() (GoalOrientedMeshSeq method) get_error() (BurgersEvaluator method) (BurgersSolver method) (SwirlEvaluator method) (SwirlSolver method) get_error_currstep() (SwirlSolver method) get_face_area() (in module UM2N.model.train_util) get_first_entry() (in module UM2N.test.bench_burgers) get_form() (MeshSeq method) get_function_spaces() (MeshSeq method) get_grad_norm() (MeshGenerator method) get_grad_phi() (MeshGenerator method) get_gradient() (MeshGenerator method) get_hessian() (MeshGenerator method) get_hessian_norm() (MeshGenerator method) get_initial_condition() (MeshSeq method) get_inversion_diff_loss() (in module UM2N.model.train_util) get_inversion_loss() (in module UM2N.model.train_util) get_inversion_node_loss() (in module UM2N.model.train_util) get_jacob_det() (in module UM2N.model.train_util) get_jacobian() (MeshGenerator method) get_jacobian_det() (MeshGenerator method) get_line() (RandPolyMesh method) (UnstructuredSquareMesh method) get_log_og() (in module UM2N.generator.swirl_solver) (in module UM2N.test.bench_burgers) (in module UM2N.test.bench_swirl) get_mesh() (RandPolyMesh method) (UnstructuredSquareMesh method) get_mesh_feature() (MeshDataset method)

get_monitor_val() (MeshGenerator method) get_neighbors() (in module UM2N.loader.cluster_utils) get_new_edges() (in module UM2N.loader.cluster_utils) get_phi() (MeshGenerator method) get_plane() (RandPolyMesh method) (UnstructuredSquareMesh method) get_points() (RandPolyMesh method) (UnstructuredSquareMesh method) get_qoi() (AdjointMeshSeq method) get_rand() (RandPolyMesh method) get_rand_points() (RandPolyMesh method) get_sample_tangle() (in module UM2N.model.train_util) get_solve_blocks() (AdjointMeshSeq method) get_solver() (MeshSeq method) get_u_0() (in module UM2N.generator.swirl_demo) (in module UM2N.generator.swirl_solver) (in module UM2N.generator.swirl_solver_step) get_u_exact() (RandSourceGenerator method) get_x_feature() (MeshDataset method) GlobalFeatExtractor (class in UM2N.model.extractor) goalie module goalie.adjoint module goalie.error_estimation module goalie.function_data module goalie.go_mesh_seq module goalie.log module goalie.math module goalie.mesh_seq module goalie.metric module goalie.options module goalie.plot module goalie.point_seq module goalie.time_partition module goalie.utility module GoalOrientedAdaptParameters (class in goalie.options) GoalOrientedMeshSeq (class in goalie.go_mesh_seq) gram_schmidt() (in module animate.math)

H

HelmholtzEqGenerator (class in UM2N.generator.equation_generator)

I

indicate_errors() (GoalOrientedMeshSeq method) IndicatorData (class in goalie.function_data) indicators (GoalOrientedMeshSeq property) info() (in module goalie.log) (MeshSeq method)

initial_condition (AdjointMeshSeq property) (MeshSeq property) interpolate() (in module animate.interpolation) (MetricBasedAdaptor method) intersect() (RiemannianMetric method) intersect_on_boundary() (in module animate.metric)

L

LaplacianSmoother (class in movement.laplacian_smoothing) load_checkpoint() (in module animate.checkpointing) load_mesh() (UnstructuredSquareMesh method)

load_model() (in module UM2N.model.train_util) load_yaml_to_namespace() (in module UM2N.helper.config) LocalFeatExtractor (class in UM2N.model.extractor)

M

M2N (class in UM2N.model.M2N) M2N_dynamic_drop (class in UM2N.model.M2N_dynamic_drop) M2N_dynamic_no_drop (class in UM2N.model.M2N_dynamic_no_drop) M2N_T (class in UM2N.model.M2N_T) M2NAtten (class in UM2N.model.M2N_atten) M2T (class in UM2N.model.M2T) M2TDeformer (class in UM2N.model.M2T_deformer) make_all_dirs() (SwirlSolver method) make_log_dir() (BurgersEvaluator method) (SwirlEvaluator method) (SwirlSolver method) make_plot_data_dir() (BurgersEvaluator method) (SwirlEvaluator method) (SwirlSolver method) make_plot_dir() (BurgersEvaluator method) (SwirlEvaluator method) (SwirlSolver method) make_plot_more_dir() (BurgersEvaluator method) (SwirlEvaluator method) (SwirlSolver method) Mesh() (in module animate.utility) MeshData (class in UM2N.loader.dataset) MeshDataset (class in UM2N.loader.dataset) MeshGenerator (class in UM2N.generator.mesh_generator) MeshLoader() (in module UM2N.loader.dataset) MeshProcessor (class in UM2N.processor.processor) MeshSeq (class in goalie.mesh_seq) MeshTanglingChecker (class in movement.tangling) message() (DeformGAT method) (LocalFeatExtractor method) (TangleCounter method) metric_parameters (RiemannianMetric property) MetricBasedAdaptor (class in animate.adapt) mkdir_if_not_exist() (in module UM2N.helper.helper) MLP_model (class in UM2N.model.transformer_model) module animate animate.adapt animate.checkpointing animate.interpolation animate.math animate.metric animate.quality animate.recovery animate.utility goalie goalie.adjoint goalie.error_estimation goalie.function_data goalie.go_mesh_seq goalie.log goalie.math goalie.mesh_seq goalie.metric goalie.options goalie.plot goalie.point_seq goalie.time_partition goalie.utility movement movement.laplacian_smoothing movement.math movement.monge_ampere movement.mover movement.solver_parameters movement.spring movement.tangling UM2N UM2N.generator UM2N.generator.burgers_solver UM2N.generator.equation_generator UM2N.generator.equation_solver UM2N.generator.mesh_generator UM2N.generator.polymesh UM2N.generator.rand_source_generator UM2N.generator.squaremesh UM2N.generator.swirl_demo UM2N.generator.swirl_solver UM2N.generator.swirl_solver_step UM2N.helper UM2N.helper.config UM2N.helper.helper UM2N.helper.plot_util UM2N.helper.plotting UM2N.loader UM2N.loader.cluster_utils UM2N.loader.data_transform UM2N.loader.dataset UM2N.model UM2N.model.deformer UM2N.model.extractor UM2N.model.gatdeformer UM2N.model.M2N UM2N.model.M2N_atten UM2N.model.M2N_dynamic_drop UM2N.model.M2N_dynamic_no_drop UM2N.model.M2N_T UM2N.model.M2T UM2N.model.M2T_deformer UM2N.model.MRN UM2N.model.MRN_atten UM2N.model.MRN_fix UM2N.model.MRN_GTE UM2N.model.MRN_LTE UM2N.model.MRN_phi UM2N.model.MRT UM2N.model.MRT_PE UM2N.model.MRT_phi UM2N.model.train_util UM2N.model.transformer_model UM2N.processor UM2N.processor.processor UM2N.test UM2N.test.bench_burgers UM2N.test.bench_helmholtz UM2N.test.bench_swirl UM2N.test.burgers_bench UM2N.test.compare_hlmhltz UM2N.test.stat UM2N.test.tangle

MongeAmpereMover() (in module movement.monge_ampere) MongeAmpereMover_QuasiNewton (class in movement.monge_ampere) MongeAmpereMover_Relaxation (class in movement.monge_ampere) monitor_func() (MeshGenerator method) monitor_function() (BurgersSolver method) (SwirlSolver method), [1] monitor_function_for_merge() (SwirlSolver method) monitor_function_grad() (SwirlSolver method) monitor_function_on_coarse_mesh() (SwirlSolver method), [1] monitor_function_pure_hessian() (SwirlSolver method) monitor_function_smoothed_grad() (SwirlSolver method) monitor_function_smoothed_hessian() (SwirlSolver method) move() (LaplacianSmoother method) (MongeAmpereMover_QuasiNewton method) (MongeAmpereMover_Relaxation method) (MRN method) (MRN_fix method) (MRNAtten method) (MRNGlobalTransformerEncoder method) (MRNLocalTransformerEncoder method) (MRTransformer method) (PrimeMover method) (SpringMover_Lineal method) move_mesh() (MeshGenerator method) movement module movement.laplacian_smoothing module movement.math module movement.monge_ampere module movement.mover module movement.solver_parameters module movement.spring module movement.tangling module MRN (class in UM2N.model.MRN) MRN_fix (class in UM2N.model.MRN_fix) MRN_phi (class in UM2N.model.MRN_phi) MRNAtten (class in UM2N.model.MRN_atten) MRNGlobalTransformerEncoder (class in UM2N.model.MRN_GTE) MRNLocalTransformerEncoder (class in UM2N.model.MRN_LTE) MRT_phi (class in UM2N.model.MRT_phi) MRTransformer (class in UM2N.model.MRT)

N

norm() (in module animate.utility) normalise() (in module UM2N.loader.dataset) (RiemannianMetric method)

num_timesteps (TimePartition property)

P

plot() (MeshSeq method) plot_attentions_map() (in module UM2N.helper.plotting) plot_attentions_map_compare() (in module UM2N.helper.plotting) plot_compare() (in module UM2N.helper.plot_util) plot_fine_solution() (SwirlSolver method) plot_indicator_snapshots() (in module goalie.plot) plot_loss() (in module UM2N.helper.plotting) plot_mesh() (in module UM2N.helper.plotting) plot_mesh_compare() (in module UM2N.helper.plotting) plot_mesh_compare_benchmark() (in module UM2N.helper.plotting) plot_multiple_mesh_compare() (in module UM2N.helper.plotting) plot_prediction() (in module UM2N.test.tangle) plot_res() (SwirlEvaluator method) (SwirlSolver method) plot_sample() (in module UM2N.test.tangle) plot_snapshots() (in module goalie.plot)

plot_tangle() (in module UM2N.helper.plotting) PointSeq (class in goalie.point_seq) PoissonEqGenerator (class in UM2N.generator.equation_generator) PrimeMover (class in movement.mover) process_subset() (in module UM2N.loader.data_transform) project() (in module animate.interpolation) (MetricBasedAdaptor method) project_from_prev_u_adapt() (SwirlSolver method) project_from_prev_u_coarse() (SwirlSolver method) project_from_prev_u_model() (SwirlSolver method) project_u_() (BurgersEvaluator method) (BurgersSolver method) (SwirlEvaluator method) (SwirlSolver method), [1] pseudotimestepper (MongeAmpereMover_Relaxation property) pyrint() (in module goalie.log)

Q

QualityMeasure (class in animate.quality)

R

ramp_complexity() (in module goalie.metric) RandHelmholtzEqGenerator (class in UM2N.generator.equation_generator) RandPoissonEqGenerator (class in UM2N.generator.equation_generator) RandPolyMesh (class in UM2N.generator.polymesh) RandSourceGenerator (class in UM2N.generator.rand_source_generator) recover_boundary_hessian() (in module animate.recovery)

recover_gradient_l2() (in module animate.recovery) recover_hessian_clement() (in module animate.recovery) RecurrentGATConv (class in UM2N.model.deformer) (class in UM2N.model.MRN) (class in UM2N.model.MRN_phi) reset_parameters() (DeformGAT method) RiemannianMetric (class in animate.metric)

S

sampler() (in module UM2N.loader.cluster_utils) save_checkpoint() (in module animate.checkpointing) save_namespace_to_yaml() (in module UM2N.helper.config) save_taining_data() (MeshProcessor method) scaled_jacobian (MeshTanglingChecker property) set_dist_params() (RandSourceGenerator method) set_log_level() (in module goalie.log) set_meshes() (MeshSeq method) (PointSeq method) set_parameters() (RiemannianMetric method) show() (RandPolyMesh method) (UnstructuredSquareMesh method) solutions (MeshSeq property) solve_adjoint() (AdjointMeshSeq method) solve_eq() (EquationSolver method)

solve_forward() (MeshSeq method) solve_problem() (BurgersSolver method) (SwirlSolver method), [1] solve_u() (SwirlEvaluator method) (SwirlSolver method), [1] solve_u_fine() (SwirlEvaluator method) (SwirlSolver method), [1] solver (MeshSeq property) space_time_normalise() (in module goalie.metric) SpringMover() (in module movement.spring) SpringMover_Lineal (class in movement.spring) SpringMover_Torsional (class in movement.spring) SwirlEvaluator (class in UM2N.test.bench_swirl) SwirlSolver (class in UM2N.generator.swirl_solver) (class in UM2N.generator.swirl_solver_step)

T

TangleCounter (class in UM2N.model.train_util) th() (AdjointMeshSeq static method) TimeInstant (class in goalie.time_partition) TimeInterval (class in goalie.time_partition) TimePartition (class in goalie.time_partition) timestep (TimeInterval property) to_computational_coordinates() (PrimeMover method) to_physical_coordinates() (PrimeMover method)

to_train_data() (MeshProcessor method) train() (in module UM2N.model.train_util) train_unsupervised() (in module UM2N.model.train_util) transfer() (in module animate.interpolation) transformer_monitor() (M2T method) (MRTransformer method) TransformerBlock (class in UM2N.model.transformer_model) TransformerModel (class in UM2N.model.transformer_model)

U

UM2N module UM2N.generator module UM2N.generator.burgers_solver module UM2N.generator.equation_generator module UM2N.generator.equation_solver module UM2N.generator.mesh_generator module UM2N.generator.polymesh module UM2N.generator.rand_source_generator module UM2N.generator.squaremesh module UM2N.generator.swirl_demo module UM2N.generator.swirl_solver module UM2N.generator.swirl_solver_step module UM2N.helper module UM2N.helper.config module UM2N.helper.helper module UM2N.helper.plot_util module UM2N.helper.plotting module UM2N.loader module UM2N.loader.cluster_utils module UM2N.loader.data_transform module UM2N.loader.dataset module UM2N.model module UM2N.model.deformer module UM2N.model.extractor module UM2N.model.gatdeformer module UM2N.model.M2N module UM2N.model.M2N_atten module

UM2N.model.M2N_dynamic_drop module UM2N.model.M2N_dynamic_no_drop module UM2N.model.M2N_T module UM2N.model.M2T module UM2N.model.M2T_deformer module UM2N.model.MRN module UM2N.model.MRN_atten module UM2N.model.MRN_fix module UM2N.model.MRN_GTE module UM2N.model.MRN_LTE module UM2N.model.MRN_phi module UM2N.model.MRT module UM2N.model.MRT_PE module UM2N.model.MRT_phi module UM2N.model.train_util module UM2N.model.transformer_model module UM2N.processor module UM2N.processor.processor module UM2N.test module UM2N.test.bench_burgers module UM2N.test.bench_helmholtz module UM2N.test.bench_swirl module UM2N.test.burgers_bench module UM2N.test.compare_hlmhltz module UM2N.test.stat module UM2N.test.tangle module UnstructuredSquareMesh (class in UM2N.generator.squaremesh)

V

vis_evaluate() (SwirlEvaluator method)

volume_ratio (PrimeMover property) VTKFile (class in animate.utility)

W

warning() (in module goalie.log) (MeshSeq method)

write_stat() (in module UM2N.test.stat)