petsc-3.13.6 2020-09-29

PetscDTAltVWedge

Compute the wedge product of a j-form and a k-form, giving a (j+k) form

Synopsis

#include "petscdt.h" 
PetscErrorCode PetscDTAltVWedge(PetscInt N, PetscInt j, PetscInt k, const PetscReal *a, const PetscReal *b, PetscReal *awedgeb)

Input Arguments

	N	- the dimension of the vector space, N >= 0
	j	- the degree j of the j-form a, 0 <= j <= N
	k	- the degree k of the k-form b, 0 <= k <= N and 0 <= j+k <= N
	a	- a j-form, size [N choose j]
	b	- a k-form, size [N choose k]

Output Arguments

awedgeb -the (j+k)-form a wedge b, size [N choose (j+k)]: (a wedge b)(v_1,...,v_{j+k}) = \sum_{s} sign(s) a(v_{s_1},...,v_{s_j}) b(v_{s_{j+1}},...,v_{s_{j+k}}), where the sum is over permutations s such that s_1 < s_2 < ... < s_j and s_{j+1} < s_{j+2} < ... < s_{j+k}.

Level

intermediate

Location