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