gf_integ

Purpose

General function for obtaining handles to various integrations methods on convexes (used when the elementary matrices are built).

Synopsis

integ IM = gf_integ(string method)

Description

Here is a list of some integration methods defined in getfem++ (see the description of finite element and integration methods for a complete reference):
IM_EXACT_SIMPLEX(N) exact integration on simplices.
IM_PRODUCT(a, b) product of two integration methods
IM_EXACT_PARALLELEPIPED(N) exact integration on parallelepipeds
IM_EXACT_PRISM(n) exact integration on prisms
IM_GAUSS1D(K) Gauss method on the segment, order K
IM_NC(N,K) Newton-Cotes approximative integration on simplices, order K
IM_NC_PARALLELEPIPED(N,K) product of Newton-Cotes integration on parallelepipeds
IM_NC_PRISM(N,K) product of Newton-Cotes integration on prisms
IM_GAUSS_PARALLELEPIPED(N,K) product of Gauss1D integration on parallelepipeds
IM_TRIANGLE(K) Gauss methods on triangles (K=1,3,5,6,7,8,9,10,13,17,19)
IM_TETRAHEDRON(K) Gauss methods on tetrahedrons (K=1, 2, 3, 5, 6 or 8)
Note that 'exact integration' should be avoided in general, since they only apply to linear geometric transformations, are quite slow, and subject to numerical stability problems for high degree FEMs.

See Also