Index A | B | C | D | E | F | G | H | I | J | L | M | N | O | P | R | S | T | U | V | W A angle discontinuity B best approximation, [1] best approximation error (BAE) Betti number connected components number of holes bilinear form branch cut C coboundaries cocycles coefficient functions (CoefficientFunction) cohomologies coil current from voltage magnetic field from current conductivity in electrostatics of copper connected components Betti number convergence rates ConvertOperator curl matrix COO() method (ngsolve) coo_matrix (scipy) coupling degrees of freedom of CR space coupling type (CouplingType) Crouzeix-Raviart (CR) space higher order generalization P1-nonconforming space shape functions curl matrix ConvertOperator D degrees of freedom coupling vs local global DG (discontinuous Galerkin) space 1D 2D differentiation automatic linearization (Variation) of coefficient functions Draw 1D deformation (surface plot) menu options in dict vectors E edge element electrostatics element boundary integrals to compute jump using dx(element_boundary=True) evaluating at mesh points F facet finite element space the NormalFacetFESpace class facet shared by two elements G gauge constraint gradient grid function (GridFunction) H hat functions, [1] I integrate interpolation (canonical) iron magnetic permeability J jump of a scalar function of normal component of tangential component orientation-independent definition L L-shaped domain Lagrange multipliers constrained optimization Lagrange space (Courant space) Lagrangian (on finite elements) linear form local degrees of freedom M magnetization curl as distribution discontinuous of ferromagnet magnetostatic potential magnetostatics meshing 1D 2D holes in 2D occ (Open Cascade) polygon of n sides single triangle subdomains in 2D, [1] minimization N Newton solver Nédélec space global space of Type 1 the HCurl class nonconforming space norm broken Sobolev norm first Sobolev norm Lebesgue norm normal vector facet space (NormalFacetFESpace) number of holes Betti number O Ohm's law Oswald approximation vector elements P pardiso piecewise constant element by element subdomain by subdomain plotting 1D, [1] bar plot Draw (2D) polar coordinates pretty table projection L2-orthogonal R rank of a matrix scipy.linalg.svdvals Raviart-Thomas space element shape functions global shape functions global space definition the HDiv class re-entrant corner refinement uniform S scipy.linalg.svdvals rank of a matrix shape functions 1D, [1] 2D Crouzeix-Raviart (nonconforming) element global, [1] Lagrange singular values sparse matrix solver sparsecholesky stiffness matrix superconvergence divergence of RT interpolant Nédélec interpolant surface field sources T test function topological invariants trial function, [1] U umfpack V variation W Whitney forms
