Finite Element Method

This page includes all the classes and routines related to the finite element method.

• Meshes and Data
  • Data Model
  • Data Classes
    • PointData
      • PointData.dofsol
      • PointData.fixity
      • PointData.loads
      • PointData.mass
      • PointData.reactions
      • PointData.vshapes
    • CellData
      • CellData.activity
      • CellData.density
      • CellData.fixity
      • CellData.loads
      • CellData.nodes
      • CellData.strain_loads
  • Mesh Classes
    • FemMesh
      • FemMesh.cd
      • FemMesh.cell_dof_solution()
      • FemMesh.cell_load_vector()
      • FemMesh.cellblocks()
      • FemMesh.cells_coords()
      • FemMesh.condensate_cell_fixity()
      • FemMesh.consistent_mass_matrix()
      • FemMesh.elastic_stiffness_matrix()
      • FemMesh.element_dof_numbering()
      • FemMesh.element_fixity()
      • FemMesh.essential_penalty_matrix()
      • FemMesh.external_forces()
      • FemMesh.internal_forces()
      • FemMesh.mass()
      • FemMesh.mass_matrix()
      • FemMesh.masses()
      • FemMesh.material_stiffness_matrix()
      • FemMesh.model
      • FemMesh.nodal_dof_solution()
      • FemMesh.nodal_load_vector()
      • FemMesh.nodal_mass_matrix()
      • FemMesh.pd
      • FemMesh.postprocess()
      • FemMesh.prostproc_dof_solution()
      • FemMesh.strains()
      • FemMesh.stresses_at_cells_nodes()
      • FemMesh.stresses_at_centers()
    • LineMesh
      • LineMesh.plot()
      • LineMesh.plot_dof_solution()
      • LineMesh.section
    • BernoulliFrame
• Finite Element Library
  • FiniteElement
    • FiniteElement.body_load_vector()
    • FiniteElement.condensate()
    • FiniteElement.consistent_mass_matrix()
    • FiniteElement.direction_cosine_matrix()
    • FiniteElement.dof_solution()
    • FiniteElement.elastic_stiffness_matrix()
    • FiniteElement.external_forces()
    • FiniteElement.global_dof_numbering()
    • FiniteElement.integrate_body_loads()
    • FiniteElement.internal_forces()
    • FiniteElement.kinetic_strains()
    • FiniteElement.load_vector()
    • FiniteElement.strain_load_vector()
    • FiniteElement.strains()
  • Bernoulli Beams
    • BernoulliBase
      • BernoulliBase.integrate_body_loads()
      • BernoulliBase.lumped_mass_matrix()
      • BernoulliBase.shape_function_derivatives()
      • BernoulliBase.shape_function_matrix()
      • BernoulliBase.shape_function_values()
    • Bernoulli2
      • Bernoulli2.Geometry
      • Bernoulli2.Model
      • Bernoulli2.dshpfnc()
      • Bernoulli2.shpfnc()
    • Bernoulli3
      • Bernoulli3.Geometry
      • Bernoulli3.Model
      • Bernoulli3.dshpfnc()
      • Bernoulli3.shpfnc()
  • Solid Elements
    • H8
      • H8.Geometry
      • H8.Model
    • H27
      • H27.Geometry
      • H27.Model
    • TET4
      • TET4.Geometry
      • TET4.Model
    • TET10
      • TET10.Geometry
      • TET10.Model
• Solution
  • Procedures
    • solve_standard_form()
    • Rayleigh_quotient()
    • effective_modal_mass()
    • effective_modal_masses()
    • estimate_smallest_natural_circular_frequency()
    • natural_circular_frequencies()
• Procedures
  • Preprocessing
    • assemble_load_vector()
    • assert_min_diagonals_bulk()
    • box_fem_data_bulk()
    • box_fem_data_sparse()
    • condensate_Kf_bulk()
    • condensate_M_bulk()
    • essential_penalty_factor_matrix()
    • essential_penalty_matrix()
    • estimate_stiffness_penalty()
    • fem_coeff_matrix_coo()
    • nodal_mass_matrix()
  • Miscellaneous
    • approximation_matrix()
    • compatibility_factors()
    • compatibility_factors_to_coo()
    • expand_coeff_matrix_bulk()
    • expand_load_vector_bulk()
    • fixity2d_to_dofs1d()
    • irows_icols_bulk()
    • irows_icols_bulk_filtered()
    • min_stiffness_diagonal()
    • nodal_approximation_matrix()
    • nodes2d_to_dofs1d()
    • topo_to_gnum()
    • topo_to_gnum_jagged()
    • weighted_stiffness_bulk()