Dear PETSc team,

I have run a simple weak scalability test based on canonical 3D elasticity 
problem : a cube, meshed with 8 nodes hexaedra, clamped on one of its face and 
submited to a pressure load on the opposite face.

I am using the FGMRES ksp with GAMG as preconditioner. I have set the rigid 
body modes using MatNullSpaceCreateRigidBody and its works like a charm. The 
solver exhibit a perfect scalability until 800 cores (I haven't tested with 
more cores). The ksp always converges in 11 or 12 iterations. Let me emphasize 
that I use GAMG default options.


Nevertheless, if I switch to a quadratic mesh with 20 nodes serendipity 
hexaedra, the weak scalability deteriorates. For instance the number of 
iteration for the ksp increases from 20 iterations for the smallest problem to 
30 for the biggest.

Here is my question : I wonder what is the right tuning for GAMG to recover the 
same weak scalability as in the linear case? I apologize if this is a stupid 
question...

I look forward to reading you,
Nicolas




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