Index

A

affine mapping, [1] approximation by sines collocation interpolation of functions of general vectors of vectors in the plane

assembly

C

cell cells list chapeau function

Chebyshev nodes collocation method (approximation)

D

degree of freedom dof map

dof_map list

E

edges element matrix

essential boundary condition

F

faces finite element basis function finite element expansion reference element

finite element mesh finite element, definition

G

Galerkin method functions vectors, [1]

Gauss-Legendre quadrature

H

hat function

Hermite polynomials

I

integration by parts interpolation

isoparametric mapping

K

Kronecker delta, [1]

L

Lagrange (interpolating) polynomial least squreas method vectors

linear elements lumped mass matrix, [1]

M

mapping of reference cells affine mapping isoparametric mapping mass lumping, [1] mass matrix, [1], [2]

mesh finite elements Midpoint rule mixed finite elements

N

natural boundary condition Newton-Cotes rules

numerical integration Midpoint rule Newton-Cotes formulas Simpson's rule Trapezoidal rule

P

P1 element P2 element

projection functions vectors, [1]

Q

quadratic elements

R

reference cell residual

Runge's phenomenon

S

simplex elements simplices Simpson's rule

sparse matrices stiffness matrix strong form

T

tensor product test function test space

Trapezoidal rule trial function trial space

V

variational formulation vertex

vertices list

W

weak form