[petsc-users] SNESVI convergence spped

[Ataollah Mesgarnejad]

> What is the solution that you end up converging to

I get the correct solution.

> , and what are the boundary conditions?
> 
I have natural BCs everywhere ( dV/dn=0) so I don't force it explicitly.

Ata

> Thanks.
> Dmitry.
> 
> On Mon, Jan 16, 2012 at 6:20 PM, Ataollah Mesgarnejad <amesga1 at tigers.lsu.edu> wrote:
> Dear all,
> 
> I'm trying to use SNESVI to solve a quadratic problem with box constraints. My problem in FE context reads:
> 
> (\int_{Omega} E phi_i phi_j + \alpha \epsilon dphi_i dphi_j dx) V_i - (\int_{Omega} \alpha \frac{phi_j}{\epsilon} dx) = 0 , 0<= V <= 1
> 
> or:
> 
> [A]{V}-{b}={0}
> 
> here phi is the basis function, E and \alpha are positive constants, and \epsilon is a positive regularization parameter  in order of mesh resolution. In this problem we expect V  =1 a.e. and go to zero very fast at some places.
> I'm running this on a rather small problem (<500000 DOFS) on small number of processors (<72). I expected SNESVI to converge in couple of iterations (<10) since my A matrix doesn't change, however I'm experiencing a slow convergence (~50-70 iterations). I checked KSP solver for SNES and it converges with a few iterations.
> 
> I would appreciate  any suggestions or observations to increase the convergence speed?
> 
> Best,
> Ata
> 

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