petsc-3.11.4 2019-09-28

MatZeroRowsStencil

Zeros all entries (except possibly the main diagonal) of a set of rows of a matrix. These rows must be local to the process.

Synopsis

#include "petscmat.h" 
PetscErrorCode MatZeroRowsStencil(Mat mat,PetscInt numRows,const MatStencil rows[],PetscScalar diag,Vec x,Vec b)

Collective on Mat

Input Parameters

	mat	- the matrix
	numRows	- the number of rows to remove
	rows	- the grid coordinates (and component number when dof > 1) for matrix rows
	diag	- value put in all diagonals of eliminated rows (0.0 will even eliminate diagonal entry)
	x	- optional vector of solutions for zeroed rows (other entries in vector are not used)
	b	- optional vector of right hand side, that will be adjusted by provided solution

Notes

For the AIJ and BAIJ matrix formats this removes the old nonzero structure, but does not release memory. For the dense and block diagonal formats this does not alter the nonzero structure.

If the option MatSetOption(mat,MAT_KEEP_NONZERO_PATTERN,PETSC_TRUE) the nonzero structure of the matrix is not changed (even for AIJ and BAIJ matrices) the values are merely zeroed.

The user can set a value in the diagonal entry (or for the AIJ and row formats can optionally remove the main diagonal entry from the nonzero structure as well, by passing 0.0 as the final argument).

For the parallel case, all processes that share the matrix (i.e., those in the communicator used for matrix creation) MUST call this routine, regardless of whether any rows being zeroed are owned by them.

Each processor can indicate any rows in the entire matrix to be zeroed (i.e. each process does NOT have to list only rows local to itself).

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

In Fortran idxm and idxn should be declared as

    MatStencil idxm(4,m)

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

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.

Level

intermediate

Location