Index

A

A^TA=A^Tb (normal equations) affine mapping, [1]

approximation by sines collocation interpolation of functions of general vectors of vectors in the plane assembly

B

basis vector

C

cell cells list chapeau function

Chebyshev nodes collocation method (approximation)

D

degree of freedom dof map

dof_map list

E

edges

element matrix

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

internal node interpolation method (approximation)

isoparametric mapping

K

Kronecker delta, [1]

L

Lagrange (interpolating) polynomial least squreas method vectors

linear elements lumped mass matrix

M

mapping of reference cells affine mapping isoparametric mapping mass lumping mass matrix

mesh finite elements Midpoint rule

N

Newton-Cotes rules norm

normal equations 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

Runge's phenomenon

S

shared node simplex elements simplices

Simpson's rule sparse matrices

T

tensor product

Trapezoidal rule

V

vertex

vertices list