├── .clang-format ├── .gitignore ├── .gitmodules ├── LICENSE ├── README.md ├── documentation ├── biblio.bib ├── compile.bat ├── document.pdf ├── document.tex ├── logo │ ├── logo-eps-converted-to.pdf │ ├── logo.eps │ └── logo.svg ├── pages │ ├── bc.tex │ ├── constraints.tex │ ├── coordinate_systems.tex │ ├── core_usage.tex │ ├── examples.tex │ ├── geometric_entities.tex │ ├── loadcases.tex │ ├── material.tex │ ├── sections.tex │ └── solving.tex └── topo_orientation │ ├── compile.bat │ ├── compile.sh │ ├── document.pdf │ ├── document.tex │ ├── logo │ ├── logo-eps-converted-to.pdf │ ├── logo.eps │ └── logo.svg │ └── pages │ └── bc.tex ├── fembridge ├── __init__.py ├── constraints │ ├── __init__.py │ ├── connector.py │ ├── constraint_base.py │ ├── constraints.py │ ├── coupling.py │ └── tie.py ├── coordinates │ ├── __init__.py │ ├── coordinate_system_base.py │ ├── coordinate_systems.py │ ├── cylindrical_coordinate_system.py │ └── rectangular_coordinate_system.py ├── core │ ├── __init__.py │ ├── model.py │ ├── model_mesh.py │ ├── runner.py │ └── solution.py ├── elements │ ├── __init__.py │ ├── b33.py │ ├── c2d3.py │ ├── c2d4.py │ ├── c2d6.py │ ├── c2d8.py │ ├── c3d10.py │ ├── c3d15.py │ ├── c3d20.py │ ├── c3d4.py │ ├── c3d5.py │ ├── c3d6.py │ ├── c3d8.py │ ├── element.py │ ├── elements.py │ ├── point.py │ ├── s3.py │ ├── s4.py │ ├── s6.py │ └── s8.py ├── geometry │ ├── __init__.py │ ├── segment.py │ ├── segment_bspline.py │ ├── segment_circle.py │ ├── segment_curved.py │ ├── segment_filet.py │ ├── segment_group.py │ ├── segment_mesh.py │ └── segment_straight.py ├── loads │ ├── __init__.py │ ├── cload.py │ ├── dload.py │ ├── load_base.py │ ├── load_collector.py │ ├── pload.py │ └── vload.py ├── main.py ├── main_beam.py ├── main_solid.py ├── main_solid_shear_buckling.py ├── materials │ ├── __init__.py │ ├── conductivity_iso.py │ ├── density.py │ ├── elasticity_iso.py │ ├── elasticity_ortho.py │ ├── expansion_iso.py │ ├── material.py │ ├── material_base.py │ ├── materials.py │ └── specific_heat.py ├── nodes │ ├── __init__.py │ ├── node.py │ └── nodes.py ├── profiles │ ├── __init__.py │ ├── circ_profile.py │ ├── i_profile.py │ ├── profile_base.py │ ├── profiles.py │ ├── rect_profile.py │ └── tube_profile.py ├── sections │ ├── __init__.py │ ├── beam_section.py │ ├── point_mass_section.py │ ├── section_base.py │ ├── sections.py │ ├── shell_section.py │ └── solid_section.py ├── sets │ ├── __init__.py │ ├── elementset.py │ ├── elementsets.py │ ├── nodeset.py │ ├── nodesets.py │ ├── surfaceset.py │ └── surfacesets.py ├── steps │ ├── __init__.py │ ├── eigenfrequency.py │ ├── linear_buckling.py │ ├── linear_static.py │ ├── step_base.py │ └── steps.py ├── supports │ ├── __init__.py │ ├── support.py │ ├── support_base.py │ └── support_collector.py └── surfaces │ ├── __init__.py │ ├── surface.py │ └── surfaces.py ├── fempy ├── build │ └── lib │ │ └── fempy │ │ ├── __init__.py │ │ ├── generate │ │ ├── __init__.py │ │ ├── generate.py │ │ ├── generate_beam_inp.py │ │ └── generate_pipe.py │ │ ├── geometry │ │ ├── __init__.py │ │ ├── fem_elements.py │ │ ├── fem_geometry.py │ │ ├── fem_geometry_connectivity.py │ │ ├── fem_geometry_extruded.py │ │ ├── fem_geometry_mesh_2d.py │ │ ├── fem_geometry_read_inp.py │ │ ├── fem_geometry_subdivided.py │ │ ├── fem_geometry_write_inp.py │ │ ├── segment.py │ │ ├── segment_bspline.py │ │ ├── segment_circle.py │ │ ├── segment_curved.py │ │ ├── segment_filet.py │ │ ├── segment_group.py │ │ ├── segment_mesh.py │ │ └── segment_straight.py │ │ ├── legacy │ │ ├── __init__.py │ │ ├── beam_disp.py │ │ ├── integration.py │ │ ├── ortho.py │ │ ├── shape_c3d13.py │ │ ├── stiffness_beam.py │ │ ├── stiffness_mitc4.py │ │ ├── stiffness_s4.py │ │ ├── stiffness_shell.py │ │ └── viewer.py │ │ ├── mtxviewer │ │ ├── __init__.py │ │ ├── app.py │ │ ├── main.py │ │ ├── matrix_view.py │ │ ├── style.py │ │ ├── tabs_decomp.py │ │ ├── tabs_formats.py │ │ ├── tabs_io.py │ │ ├── tabs_overview.py │ │ └── tabs_spectral.py │ │ ├── projopt │ │ ├── __init__.py │ │ ├── constraint.py │ │ ├── objective.py │ │ ├── opt.py │ │ ├── optimizer.py │ │ ├── responses.py │ │ └── types.py │ │ ├── sensopt │ │ ├── __init__.py │ │ ├── console.py │ │ ├── fim_selector.py │ │ ├── gauges.py │ │ ├── hbuilder.py │ │ ├── prep.py │ │ ├── runner.py │ │ └── select.py │ │ ├── solution │ │ ├── __init__.py │ │ ├── solution.py │ │ ├── tovtk.py │ │ └── tovtu.py │ │ └── topopt │ │ ├── __init__.py │ │ ├── adam.py │ │ ├── constraint.py │ │ ├── filter.py │ │ ├── overhang.py │ │ ├── plane.py │ │ ├── symmetry.py │ │ └── topo.py ├── fempy.egg-info │ ├── PKG-INFO │ ├── SOURCES.txt │ ├── dependency_links.txt │ ├── entry_points.txt │ ├── requires.txt │ └── top_level.txt ├── fempy │ ├── __init__.py │ ├── generate │ │ ├── __init__.py │ │ ├── generate.py │ │ ├── generate_beam_inp.py │ │ └── generate_pipe.py │ ├── geometry │ │ ├── __init__.py │ │ ├── fem_elements.py │ │ ├── fem_geometry.py │ │ ├── fem_geometry_connectivity.py │ │ ├── fem_geometry_extruded.py │ │ ├── fem_geometry_mesh_2d.py │ │ ├── fem_geometry_read_inp.py │ │ ├── fem_geometry_subdivided.py │ │ ├── fem_geometry_write_inp.py │ │ ├── segment.py │ │ ├── segment_bspline.py │ │ ├── segment_circle.py │ │ ├── segment_curved.py │ │ ├── segment_filet.py │ │ ├── segment_group.py │ │ ├── segment_mesh.py │ │ └── segment_straight.py │ ├── legacy │ │ ├── __init__.py │ │ ├── beam_disp.py │ │ ├── integration.py │ │ ├── ortho.py │ │ ├── shape_c3d13.py │ │ ├── stiffness_beam.py │ │ ├── stiffness_mitc4.py │ │ ├── stiffness_s4.py │ │ ├── stiffness_shell.py │ │ └── viewer.py │ ├── mtxviewer │ │ ├── __init__.py │ │ ├── app.py │ │ ├── main.py │ │ ├── matrix_view.py │ │ ├── style.py │ │ ├── tabs_decomp.py │ │ ├── tabs_formats.py │ │ ├── tabs_io.py │ │ ├── tabs_overview.py │ │ └── tabs_spectral.py │ ├── projopt │ │ ├── __init__.py │ │ ├── constraint.py │ │ ├── examples │ │ │ └── demo_autoreg.py │ │ ├── objective.py │ │ ├── opt.py │ │ ├── optimizer.py │ │ ├── responses.py │ │ └── types.py │ ├── sensopt │ │ ├── __init__.py │ │ ├── console.py │ │ ├── fim_selector.py │ │ ├── gauges.py │ │ ├── hbuilder.py │ │ ├── prep.py │ │ ├── runner.py │ │ └── select.py │ ├── solution │ │ ├── __init__.py │ │ ├── solution.py │ │ ├── tovtk.py │ │ └── tovtu.py │ └── topopt │ │ ├── __init__.py │ │ ├── adam.py │ │ ├── constraint.py │ │ ├── filter.py │ │ ├── overhang.py │ │ ├── plane.py │ │ ├── symmetry.py │ │ └── topo.py ├── requirements.txt └── setup.py ├── makefile ├── src ├── bc │ ├── amplitude.cpp │ ├── amplitude.h │ ├── bc.cpp │ ├── bc.h │ ├── load.cpp │ ├── load.h │ ├── load_collector.cpp │ ├── load_collector.h │ ├── support.cpp │ ├── support.h │ ├── support_collector.cpp │ └── support_collector.h ├── constraints │ ├── builder │ │ ├── assemble_TX.cpp │ │ ├── assemble_TX.h │ │ ├── build_x.cpp │ │ ├── build_x.h │ │ ├── builder.cpp │ │ ├── builder.h │ │ ├── detect_rank.cpp │ │ ├── detect_rank.h │ │ ├── factorize_qr.cpp │ │ ├── factorize_qr.h │ │ ├── invariants.cpp │ │ ├── invariants.h │ │ ├── particular_solution.cpp │ │ ├── particular_solution.h │ │ ├── partition.cpp │ │ ├── partition.h │ │ ├── preprocess.cpp │ │ ├── preprocess.h │ │ ├── timings.cpp │ │ └── timings.h │ ├── connector.cpp │ ├── connector.h │ ├── constraint_groups.cpp │ ├── constraint_groups.h │ ├── constraint_map.cpp │ ├── constraint_map.h │ ├── constraint_report.cpp │ ├── constraint_report.h │ ├── constraint_set.cpp │ ├── constraint_set.h │ ├── constraint_transformer.cpp │ ├── constraint_transformer.h │ ├── coupling.cpp │ ├── coupling.h │ ├── equation.cpp │ ├── equation.h │ ├── tie.cpp │ └── tie.h ├── core │ ├── assert.h │ ├── config.cpp │ ├── config.h │ ├── core.h │ ├── logging.h │ ├── logging.ipp │ ├── startup.cpp │ ├── startup.h │ ├── timer.cpp │ ├── timer.h │ ├── types_cls.h │ ├── types_eig.h │ ├── types_num.h │ ├── version.cpp │ └── version.h ├── cos │ ├── coordinate_system.h │ ├── cylindrical_system.cpp │ ├── cylindrical_system.h │ ├── rectangular_system.cpp │ └── rectangular_system.h ├── cuda │ ├── assert_cuda.cu │ ├── assert_cuda.h │ ├── cuda.cu │ ├── cuda.h │ ├── cuda_array.cu │ ├── cuda_array.h │ ├── cuda_array.tpp │ ├── cuda_csr.cu │ ├── cuda_csr.h │ ├── cuda_defs.h │ ├── cuda_vec.cu │ └── cuda_vec.h ├── damping │ ├── rayleigh.cpp │ └── rayleigh.h ├── data │ ├── collection.cpp │ ├── collection.h │ ├── data_storage.cpp │ ├── data_storage.h │ ├── dict.cpp │ ├── dict.h │ ├── elem_data_dict.cpp │ ├── elem_data_dict.h │ ├── ip_data_dict.cpp │ ├── ip_data_dict.h │ ├── namable.cpp │ ├── namable.h │ ├── node_data_dict.cpp │ ├── node_data_dict.h │ ├── region.cpp │ ├── region.h │ ├── region_type.cpp │ ├── region_type.h │ ├── sets.cpp │ └── sets.h ├── dsl │ ├── command.h │ ├── condition.h │ ├── engine.h │ ├── file.h │ ├── invoke.h │ ├── keys.h │ ├── keyword.h │ ├── line.h │ ├── line_range.h │ ├── pattern.h │ ├── pattern_element.h │ ├── registry.h │ ├── segment.h │ └── variant.h ├── input_decks │ ├── commands │ │ ├── register_amplitude.inl │ │ ├── register_beam_section.inl │ │ ├── register_cload.inl │ │ ├── register_connector.inl │ │ ├── register_coupling.inl │ │ ├── register_density.inl │ │ ├── register_dload.inl │ │ ├── register_elastic.inl │ │ ├── register_element.inl │ │ ├── register_elset.inl │ │ ├── register_loadcase_begin.inl │ │ ├── register_loadcase_constraintsummary.inl │ │ ├── register_loadcase_damping.inl │ │ ├── register_loadcase_loads.inl │ │ ├── register_loadcase_newmark.inl │ │ ├── register_loadcase_numeigenvalues.inl │ │ ├── register_loadcase_request_stgeom.inl │ │ ├── register_loadcase_request_stiffness.inl │ │ ├── register_loadcase_sigma.inl │ │ ├── register_loadcase_solver.inl │ │ ├── register_loadcase_supports.inl │ │ ├── register_loadcase_time.inl │ │ ├── register_loadcase_topodensity.inl │ │ ├── register_loadcase_topoexponent.inl │ │ ├── register_loadcase_topoorient.inl │ │ ├── register_loadcase_write_every.inl │ │ ├── register_material.inl │ │ ├── register_node.inl │ │ ├── register_nset.inl │ │ ├── register_orientation.inl │ │ ├── register_pload.inl │ │ ├── register_point_mass_section.inl │ │ ├── register_profile.inl │ │ ├── register_sfset.inl │ │ ├── register_shell_section.inl │ │ ├── register_solid_section.inl │ │ ├── register_support.inl │ │ ├── register_surface.inl │ │ ├── register_temperature.inl │ │ ├── register_thermalexpansion.inl │ │ ├── register_tie.inl │ │ ├── register_tload.inl │ │ └── register_vload.inl │ ├── parser.cpp │ └── parser.h ├── loadcase │ ├── linear_buckling.cpp │ ├── linear_buckling.h │ ├── linear_eigenfreq.cpp │ ├── linear_eigenfreq.h │ ├── linear_static.cpp │ ├── linear_static.h │ ├── linear_static_topo.cpp │ ├── linear_static_topo.h │ ├── linear_transient.cpp │ ├── linear_transient.h │ ├── loadcase.cpp │ └── loadcase.h ├── main.cpp ├── material │ ├── elasticity.cpp │ ├── elasticity.h │ ├── isotropic_elasticity.cpp │ ├── isotropic_elasticity.h │ ├── material.cpp │ ├── material.h │ ├── orthotropic_elasticity.cpp │ ├── orthotropic_elasticity.h │ ├── strain.cpp │ ├── strain.h │ ├── stress.cpp │ └── stress.h ├── math │ ├── csqrt.h │ ├── interpolate.cpp │ ├── interpolate.h │ ├── quadrature.cpp │ ├── quadrature.h │ ├── quadrature_iso_hex.cpp │ ├── quadrature_iso_line_a.cpp │ ├── quadrature_iso_line_b.cpp │ ├── quadrature_iso_pyramid.cpp │ ├── quadrature_iso_quad.cpp │ ├── quadrature_iso_tet.cpp │ ├── quadrature_iso_tri.cpp │ └── quadrature_iso_wedge.cpp ├── mattools │ ├── assemble.h │ ├── assemble.tpp │ ├── assemble_bc.cpp │ ├── assemble_bc.h │ ├── extract_scaled_row_sum.cpp │ ├── extract_scaled_row_sum.h │ ├── lump_matrix.cpp │ ├── lump_matrix.h │ ├── numerate_dofs.cpp │ ├── numerate_dofs.h │ ├── reduce_mat_to_mat.cpp │ ├── reduce_mat_to_mat.h │ ├── reduce_mat_to_vec.cpp │ ├── reduce_mat_to_vec.h │ ├── reduce_vec_to_vec.cpp │ └── reduce_vec_to_vec.h ├── model │ ├── beam │ │ ├── b33.h │ │ ├── beam.cpp │ │ └── beam.h │ ├── element │ │ ├── element.h │ │ └── element_structural.h │ ├── geometry │ │ ├── line │ │ │ ├── line2a.cpp │ │ │ ├── line2a.h │ │ │ ├── line2b.cpp │ │ │ ├── line2b.h │ │ │ ├── line3a.cpp │ │ │ ├── line3a.h │ │ │ ├── line3b.cpp │ │ │ ├── line3b.h │ │ │ └── line_interface.h │ │ └── surface │ │ │ ├── surface.h │ │ │ ├── surface3.cpp │ │ │ ├── surface3.h │ │ │ ├── surface4.cpp │ │ │ ├── surface4.h │ │ │ ├── surface6.cpp │ │ │ ├── surface6.h │ │ │ ├── surface8.cpp │ │ │ └── surface8.h │ ├── model.cpp │ ├── model.h │ ├── model.ipp │ ├── model_build.cpp │ ├── model_compute.cpp │ ├── model_data.cpp │ ├── model_data.h │ ├── pointelem │ │ ├── point.cpp │ │ └── point.h │ ├── shell │ │ ├── s3.cpp │ │ ├── s3.h │ │ ├── s4.cpp │ │ ├── s4.h │ │ ├── s4_mitc.cpp │ │ ├── s4_mitc.h │ │ ├── s6.cpp │ │ ├── s6.h │ │ ├── s8.cpp │ │ ├── s8.h │ │ ├── shell.cpp │ │ ├── shell.h │ │ └── shell_simple.h │ ├── solid │ │ ├── c3d10.cpp │ │ ├── c3d10.h │ │ ├── c3d13.cpp │ │ ├── c3d13.h │ │ ├── c3d15.cpp │ │ ├── c3d15.h │ │ ├── c3d20.cpp │ │ ├── c3d20.h │ │ ├── c3d20r.cpp │ │ ├── c3d20r.h │ │ ├── c3d4.cpp │ │ ├── c3d4.h │ │ ├── c3d6.cpp │ │ ├── c3d6.h │ │ ├── c3d8.cpp │ │ ├── c3d8.h │ │ ├── element_solid.h │ │ ├── element_solid.ipp │ │ ├── element_solid_.ipp │ │ ├── element_solid_compute.ipp │ │ ├── element_solid_load.ipp │ │ └── element_solid_test.ipp │ └── truss │ │ └── truss.h ├── reader │ ├── write_mtx.cpp │ ├── write_mtx.h │ ├── writer.cpp │ └── writer.h ├── section │ ├── profile.cpp │ ├── profile.h │ ├── section.cpp │ ├── section.h │ ├── section_beam.cpp │ ├── section_beam.h │ ├── section_point_mass.cpp │ ├── section_point_mass.h │ ├── section_shell.cpp │ ├── section_shell.h │ ├── section_solid.cpp │ └── section_solid.h └── solve │ ├── device.h │ ├── eigen.cpp │ ├── eigen.h │ ├── eigen_common.h │ ├── eigen_general_buckling.cpp │ ├── eigen_general_cayley.cpp │ ├── eigen_general_shiftinvert.cpp │ ├── eigen_internal.h │ ├── eigen_shift_invert_op_gen.cpp │ ├── eigen_shift_invert_op_gen.h │ ├── eigen_shift_invert_op_simple.cpp │ ├── eigen_shift_invert_op_simple.h │ ├── eigen_simple_regular.cpp │ ├── eigen_simple_shiftinvert.cpp │ ├── 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