The simple answer is multigrid. But depending on how the problem looks like 
it will differ. If it is far from being incompressible standard MG will be 
fine. Trilinos AMG should also work, just take look at its settings (there 
is an option to specify that you are dealing with vector problem).
Best,
Michał


piątek, 24 września 2021 o 14:17:33 UTC+2 Konrad Simon napisał(a):

> Dear all, 
>
> A student and me are trying to deal with (parallel, static) linearized 
> elasticity similar to step-8.
> However, the problem is slightly different since the Lame parameters are 
> functions instead of constants. 
> Can anyone recommend good solvers & preconditioners for the resulting 
> system? Our boundary conditions fix all degrees of freedom in the kernel.
>
> Best,
> Konrad
>

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