petsc-3.13.6 2020-09-29

PetscDTAltVApply

Apply an a k-form (an alternating k-linear map) to a set of k N-dimensional vectors

Synopsis

#include "petscdt.h" 
PetscErrorCode PetscDTAltVApply(PetscInt N, PetscInt k, const PetscReal *w, const PetscReal *v, PetscReal *wv)

Input Arguments

	N	- the dimension of the vector space, N >= 0
	k	- the degree k of the k-form w, 0 <= k <= N
	w	- a k-form, size [N choose k] (each degree of freedom of a k-form is associated with a subset of k coordinates of the N-dimensional vectors: the degrees of freedom are ordered lexicographically by their associated subsets)
	v	- a set of k vectors of size N, size [k x N], each vector stored contiguously

Output Arguments

wv -w(v_1,...,v_k) = \sum_i w_i * det(V_i): the degree of freedom w_i is associated with coordinates [s_{i,1},...,s_{i,k}], and the square matrix V_i has entry (j,k) given by the s_{i,k}'th coordinate of v_j

Level

intermediate

Location