petsc-3.9.4 2018-09-11
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SNESComputeJacobianDefault

Computes the Jacobian using finite differences.

Synopsis

#include "petscsnes.h"  
PetscErrorCode  SNESComputeJacobianDefault(SNES snes,Vec x1,Mat J,Mat B,void *ctx)
Collective on SNES

Input Parameters

x1 - compute Jacobian at this point
ctx - application's function context, as set with SNESSetFunction()

Output Parameters

J - Jacobian matrix (not altered in this routine)
B - newly computed Jacobian matrix to use with preconditioner (generally the same as J)

Options Database Key

-snes_fd - Activates SNESComputeJacobianDefault()
-snes_test_err - Square root of function error tolerance, default square root of machine epsilon (1.e-8 in double, 3.e-4 in single)
-mat_fd_type - Either wp or ds (see MATMFFD_WP or MATMFFD_DS)

Notes

This routine is slow and expensive, and is not currently optimized to take advantage of sparsity in the problem. Although SNESComputeJacobianDefault() is not recommended for general use in large-scale applications, It can be useful in checking the correctness of a user-provided Jacobian.

An alternative routine that uses coloring to exploit matrix sparsity is SNESComputeJacobianDefaultColor().

Keywords

SNES, finite differences, Jacobian

See Also

SNESSetJacobian(), SNESComputeJacobianDefaultColor(), MatCreateSNESMF()

Level

intermediate

Location

src/snes/interface/snesj.c

Examples

src/ts/examples/tutorials/ex4.c.html
src/ts/examples/tutorials/ex10.c.html
src/ts/examples/tutorials/ex15.c.html
src/ts/examples/tutorials/ex17.c.html

Index of all SNES routines
Table of Contents for all manual pages
Index of all manual pages