On Thu, Dec 8, 2016 at 10:44 AM, Kathrin Smetana <[email protected]> wrote:

> Dear libmesh users/developers,
>
> I have to solve a linear system of equations (system size approximately
> 10^6) very often (about 5000 times). The linear system of equations is the
> result of a FEM discretization of 3D linear elasticity.
>
> I thought about using a sparse Cholesky decomposition as the matrix is
> symmetric or a sparse LU decomposition, depending on availability. I have
> had a look at the Eigen package and their direct LU factorization for
> instance with Umfpack or SuperLU support looks very promising to me.
>

I was wondering why you are going to use a direct solver? Because the
resulting system is highly ill-conditioned due to a challenging physics
configuration? If this is not the case, I think you could use a AMG (hypre
or pcamg in petsc). AMG should work with the linear elasticity equation.
You can also try ASM (additive Schwarz method). All those solvers are
available in petsc or through petsc.


Fande,


>
> Do you think that is a good option or do you have any other
> recommendations for me?
>
> Thanks,
> Kathrin
>
>
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