MatSetValuesStencil#

Inserts or adds a block of values into a matrix. Using structured grid indexing

Synopsis#

#include "petscmat.h"
PetscErrorCode MatSetValuesStencil(Mat mat, PetscInt m, const MatStencil idxm[], PetscInt n, const MatStencil idxn[], const PetscScalar v[], InsertMode addv)


Not Collective

Input Parameters#

• mat - the matrix

• m - number of rows being entered

• idxm - grid coordinates (and component number when dof > 1) for matrix rows being entered

• n - number of columns being entered

• idxn - grid coordinates (and component number when dof > 1) for matrix columns being entered

• v - a logically two-dimensional array of values

• addv - either ADD_VALUES to add to existing entries at that location or INSERT_VALUES to replace existing entries with new values

Notes#

By default the values, v, are row-oriented. See MatSetOption() for other options.

Calls to MatSetValuesStencil() with the INSERT_VALUES and ADD_VALUES options cannot be mixed without intervening calls to the assembly routines.

The grid coordinates are across the entire grid, not just the local portion

MatSetValuesStencil() uses 0-based row and column numbers in Fortran as well as in C.

For setting/accessing vector values via array coordinates you can use the DMDAVecGetArray() routine

In order to use this routine you must either obtain the matrix with DMCreateMatrix() or call MatSetLocalToGlobalMapping() and MatSetStencil() first.

The columns and rows in the stencil passed in MUST be contained within the ghost region of the given process as set with DMDACreateXXX() or MatSetStencil(). For example, if you create a DMDA with an overlap of one grid level and on a particular process its first local nonghost x logical coordinate is 6 (so its first ghost x logical coordinate is 5) the first i index you can use in your column and row indices in MatSetStencil() is 5.

For periodic boundary conditions use negative indices for values to the left (below 0; that are to be obtained by wrapping values from right edge). For values to the right of the last entry using that index plus one etc to obtain values that obtained by wrapping the values from the left edge. This does not work for anything but the DM_BOUNDARY_PERIODIC boundary type.

For indices that don’t mean anything for your case (like the k index when working in 2d) or the c index when you have a single value per point) you can skip filling those indices.

Inspired by the structured grid interface to the HYPRE package (https://computation.llnl.gov/projects/hypre-scalable-linear-solvers-multigrid-methods)

The routine MatSetValuesBlockedStencil() may offer much better efficiency for users of block sparse formats (MATSEQBAIJ and MATMPIBAIJ).

Fortran Note#

In Fortran idxm and idxn should be declared as

MatStencil idxm(4,m),idxn(4,n)


and the values inserted using

    idxm(MatStencil_i,1) = i
idxm(MatStencil_j,1) = j
idxm(MatStencil_k,1) = k
idxm(MatStencil_c,1) = c
etc


Mat, DMDA, MatSetOption(), MatAssemblyBegin(), MatAssemblyEnd(), MatSetValuesBlocked(), MatSetValuesLocal() MatSetValues(), MatSetValuesBlockedStencil(), MatSetStencil(), DMCreateMatrix(), DMDAVecGetArray(), MatStencil

beginner

Location#

src/mat/interface/matrix.c

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