PetscDTAltVWedgeMatrix#

Compute the matrix defined by the wedge product with a given j-form that maps k-forms to (j+k)-forms

Synopsis#

#include "petscdt.h" 
PetscErrorCode PetscDTAltVWedgeMatrix(PetscInt N, PetscInt j, PetscInt k, const PetscReal *a, PetscReal *awedgeMat)

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-forms that (a wedge) will be applied to, 0 <= k <= N and 0 <= j+k <= N

  • a - a j-form, size [N choose j]

Output Parameter#

  • awedgeMat - (a wedge), an [(N choose j+k) x (N choose k)] matrix in row-major order, such that (a wedge) * b = a wedge b

See Also#

PetscDTAltV, PetscDTAltVPullback(), PetscDTAltVPullbackMatrix()

Level#

intermediate

Location#

src/dm/dt/interface/dtaltv.c

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