Are you using multi-threading or multi-processing? The bundled UMFPACK 
solver is single threaded, the theoretical speedup is about 1.

I see 2 choices: (a) Use external multi-threaded direct solver like 
PARDISO, you can pass the reordered CSR data to it and (b) use MPI 
multi-processing and distributed parallel direct solver MUMPS or 
SuperLU_DIST from PETSc or Trilinos.
在2024年7月18日星期四 UTC+8 21:10:43<[email protected]> 写道:

> Hi all,
>
> I am writing a parallel code for the Newton-Raphson scheme and testing the 
> speedup for different parts of the scheme. The performance is attached in 
> the figure below. It shows that the speed up of the direct solver is 1, 
> degrading the performance of the whole scheme. Other parts including 
> assembling the global system, updating internal variables exhibit linear 
> speedup.
>
> Has anyone met the same issue with the linear solver? are there any 
> solutions to gain better performance for using a linear solver?
>
> Thank you,
> Giang
>
>

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