Is this coming from a Stokes-like problem? 

  Barry


On Aug 3, 2010, at 10:54 PM, Filippo Spiga wrote:

> Dear Hong,
>> This confirms that your Jacobian is singular, thus none of linear
>> solvers would work.
> 
> So do any preconditioner not help me to solve the problem?
> 
> I put some stuff here: http://tinyurl.com/fil-petsc
> - "A_LS.m" is matrix (saved by PETSc)
> - "b_LS-m"
> - the file "eigenvalues_A" contains the eigenvalues of the matrix A, computed 
> by MATLAB.
> 
> I used "-pc_type lu" and 1 only processor. The result is the same of my 
> previous email (*).
> 
> Anyway if I solve the problem using MATLAB I get the right solution. The 
> formulation seems correct. To be honest, the eigenvalues don't say me 
> nothing. But I'm a computer scientist, not a mathematician. I'm not able to 
> recognize which preconditioner I should use or which modifications (scaling 
> all/part of the rows? reformulate the system in another way?...) do to solve 
> the problem. From my side, it is not possible to try all the preconditioners 
> and also it is not the right way...
> 
> Once again, thanks.
> 
> (*)
> [0|23:14:58]: unknown: MatLUFactorNumeric_SeqAIJ() line 668 in 
> src/mat/impls/aij/seq/aijfact.c: Zero pivot row 1 value 0 tolerance 
> 2.77778e-14 * rowsum 0.0277778
> 
> -- 
> 
> Filippo SPIGA
> 
> ?Nobody will drive us out of Cantor's paradise.?
>     -- David Hilbert
> 

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