Index

B

best approximation, [1]

best approximation error (BAE) bilinear form

C

coefficient functions (CoefficientFunction) convergence rates coupling degrees of freedom of CR space

coupling type (CouplingType) Crouzeix-Raviart (CR) space higher order generalization P1-nonconforming space shape functions

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 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

gradient

grid function (GridFunction)

H

hat functions, [1]

I

integrate

interpolation (canonical)

J

jump of a scalar function of normal component of tangential component orientation-independent definition

L

Lagrange multipliers constrained optimization Lagrange space (Courant space)

Lagrangian (on finite elements) linear form local degrees of freedom

M

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)

O

Oswald approximation vector elements

P

pardiso piecewise constant element by element subdomain by subdomain plotting 1D Draw (2D)

pretty table projection L2-orthogonal

R

Raviart-Thomas space element shape functions global shape functions global space definition the HDiv class

refinement uniform

S

shape functions 1D, [1] 2D Crouzeix-Raviart (nonconforming) element global, [1] Lagrange

sparse matrix solver sparsecholesky stiffness matrix superconvergence divergence of RT interpolant Nédélec interpolant

T

test function

trial function, [1]

U

umfpack

V

variation

W

Whitney forms