Hello,

A00 comes from shell structures and discretized by FEM.

Thanks,
Xiaofeng

On Sep 27, 2022, at 17:48, Mark Adams <mfad...@lbl.gov<mailto:mfad...@lbl.gov>> 
wrote:

what equations and discetizations are in A00?

On Tue, Sep 27, 2022 at 1:45 AM 晓峰 何 
<tlan...@hotmail.com<mailto:tlan...@hotmail.com>> wrote:
Hi Barry,

A00 is formed from elliptic operator.

I tried GAMG with A00, but it was extremely slow to solve the system with 
field-split preconditioner(I’m not sure I did it with the right way).

Thanks,
Xiaofeng

On Sep 26, 2022, at 23:11, Barry Smith 
<bsm...@petsc.dev<mailto:bsm...@petsc.dev>> wrote:


  What is your A00 operator? ILU is almost never a good choice for large scale 
problems. If it is an elliptic operator that using a PC of gamg may work well 
for the A00 preconditioner instead of ILU.

  Barry

  For moderate size problems you can use a PC type LU for AOO to help you 
understand the best preconditioner to use for the A11 (the Schur complement 
block), once you have a good preconditioner for the A11 block you would then go 
back and determine a good preconditioner for the A00 block.

On Sep 26, 2022, at 10:08 AM, 晓峰 何 
<tlan...@hotmail.com<mailto:tlan...@hotmail.com>> wrote:

Hello Jed,

The saddle point is due to Lagrange multipliers, thus the size of A11 is much 
smaller than A00.



Best Regards,

Xiaofeng


On Sep 26, 2022, at 21:03, Jed Brown 
<j...@jedbrown.org<mailto:j...@jedbrown.org>> wrote:

Lagrange multipliers




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