Wolfgang,

I have convergence to the correct solution for very coarse meshes (I have 
an analytic free-space solution that I can compare to), and I have also 
been able to solve the problem with a direct solver. The issue of 
non-convergence crops up when I use a finer mesh, and as a result, have a 
larger system to solve. I have tried to estimate the condition number of 
this larger system with ksp_monitor_singular_value, and it seems 
reasonable; so it still seems like the preconditioner is just not good 
enough.

There are papers that already address preconditioning for PML, but since 
multigrid preconditioning is a black-box method for me, I wanted to ask if 
anyone can suggest a good approach that is implementable in deal.

Artur

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