[petsc-users] Will matrix-free faster than solving linearized equation?

[Jed Brown]

Frank <fangxingjun0319 at 163.com> writes:

> Hi,
>
> Currently, I am solving a nonlinear equation with some linearization  
> method. I am thinking to modify it with a nonlinear solver. With PETSc 
> library, I am confident to do it. I just want to ask those who have 
> experiences with nonlinear solver if matrix-free method will be faster.

Your question isn't very clear, but it depends on many things.  Matrices
are good for testing algorithms.  Send -log_summary and convergence
monitors for a solver configuration that works well for your problem.
From that information and a description of your discretization, we can
estimate the potential effect of switching to a matrix-free
implementation.

Don't start out with matrix-free unless you have a lot of experience
with the problem class and relevant methods.
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