[petsc-users] Question about preconditioner

user_gong Kim ksi2443 at gmail.com
Thu Feb 16 01:42:48 CST 2023


There are some questions about some preconditioners.

The questions are from problem Au=b. The global matrix A has zero value
diagonal terms.

1.     Which preconditioner is preferred for matrix A which has zero value
in diagonal terms?
The most frequently used basic 2 preconditioners are jacobi and SOR (gauss
seidel). As people knows both methods should have non zero diagonal terms.
Although the improved method is applied in PETSc, jacobi can also solve the
case with zero diagonal term, but I ask because I know that it is not

2.     Second question is about running code with the two command options
below in a single process.
1st command : -ksp_type gmres -pc_type bjacobi -sub_pc_type jacobi
2nd command : -ksp_type gmres -pc_type hpddm -sub_pc_type jacobi
When domain decomposition methods such as bjacobi or hpddm are parallel,
the global matrix is divided for each process. As far as I know, running it
in a single process should eventually produce the same result if the sub pc
type is the same. However, in the second option, ksp did not converge.
In this case, I wonder how to analyze the situation.
How can I monitor and see the difference between the two?


Hyung Kim
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