petsc-master 2020-10-26
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PetscDTAltVInteriorPattern

compute the sparsity and sign pattern of the interior product matrix computed in PetscDTAltVInteriorMatrix()

Synopsis

#include "petscdt.h" 
PetscErrorCode PetscDTAltVInteriorPattern(PetscInt N, PetscInt k, PetscInt (*indices)[3])

Input Arguments

N - the dimension of the vector space, N >= 0
k - the degree of the k-forms on which intvMat from PetscDTAltVInteriorMatrix() acts, 0 <= k <= N.

Output Arguments

indices - The interior product matrix intvMat has size [(N choose (k-1)) x (N choose k)] and has (N choose k) * k non-zeros. indices[i][0] and indices[i][1] are the row and column of a non-zero, and its value is equal to the vector coordinate v[j] if indices[i][2] = j, or -v[j] if indices[i][2] = -(j+1)

Note: this function is useful when the interior product needs to be computed at multiple locations, as when computing the Koszul differential

See Also

PetscDTAltV, PetscDTAltVInterior(), PetscDTAltVInteriorMatrix(), PetscDTAltVPullback(), PetscDTAltVPullbackMatrix()

Level

intermediate

Location

src/dm/dt/interface/dtaltv.c
Index of all DT routines
Table of Contents for all manual pages
Index of all manual pages