Dear Wolfgang,

In attach you shall find the bilinear form and the assemble part of the 
code as well.

Thanks,

On Friday, October 21, 2016 at 11:14:52 AM UTC-5, Wolfgang Bangerth wrote:
>
>
> > On Thursday, October 20, 2016 at 9:48:55 PM UTC-5, Wolfgang Bangerth 
> wrote: 
> > 
> >     What is the norm of the first right hand side? You now set the 
> tolerance in 
> > 
> >     the first iteration to a fixed value of 1e-16, but how does this 
> compare to 
> >     the previous value of 1e-12*system_rhs.l2_norm()? 
> > 
> > 
> > The system_rhs.l2_norm() before the first call to CGSolverat in the zero 
> time 
> > step was 1.82492e-09, so that the 1e-12*system_rhs.l2_norm() became in 
> the 
> > order of 1e-21 by which CGSOlver didn't converge. 
>
> OK. I have no suggestion, though, why one or the other would lead to 
> convergence or non-convergence of CG. 
>
>
> >     That still seems wrong to me. As I mentioned in a previous email, 
> you 
> >     ought to 
> >     make sure that the matrix you build is the matrix you *want* to 
> build. 
> > 
> > 
> > I was wondering how to make sure the matrix I built is what I meant. 
>
> You need to compare properties of your bilinear form with those of your 
> matrix. For example, if your bilinear form is symmetric, then your matrix 
> is 
> as well -- and that is something you can test. If your bilinear form is 
> positive definite, then your matrix needs to be as well and as a 
> consequence 
> CG needs to converge. If CG does not seem to converge but your bilinear 
> form 
> is s.p.d., you know you have a bug in your matrix assembly. If CG 
> converges on 
> one processor but not on two for the same problem, then you know you have 
> a 
> bug in the parallel matrix assembly. Etc. 
>
> Since you haven't stated your bilinear form or the problem you are 
> solving, I 
> can't tell you whether the matrix is supposed to be s.p.d. 
>
> Best 
>   W. 
>
>
> -- 
> ------------------------------------------------------------------------ 
> Wolfgang Bangerth          email:                 bang...@colostate.edu 
> <javascript:> 
>                             www: http://www.math.colostate.edu/~bangerth/ 
>
>

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Attachment: Bilinearform.docx
Description: MS-Word 2007 document

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