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 Parameters#
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 Parameter#
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}.
See Also#
PetscDTAltV, PetscDTAltVWedgeMatrix(), PetscDTAltVPullback(), PetscDTAltVPullbackMatrix()
Level#
intermediate
Location#
Index of all DT routines
Table of Contents for all manual pages
Index of all manual pages