Re: [deal.II] PETSc iteration does not converge

2020-08-17 Thread yuesu jin
OK, I see. I will do it, thank you! I will let you know if I get any result.

On Mon, Aug 17, 2020 at 7:06 PM Wolfgang Bangerth 
wrote:

> On 8/17/20 6:01 PM, yuesu jin wrote:
> >  I did nothing to verify those properties. because the single thread
> CG
> > solver converged well. I used  different preconditioners in parallel
> version
> > and single thread version. In the parallel version I used block Jacobi
> and in
> > the single thread version I used Jacobi. How can I check if the parallel
> > blocked sparse matrix is/ isn't symmetrical and positive definite?
>
> Think of tests such as this:
> * run on 1 processor, multiply a vector w of all 1s from the right, and
> output
> the resulting vector v=Aw on all processors
> * run on >1 processors and repeat
> Are the vectors the same for both cases? The matrix should be the same
> regardless of partitioning, but is it?
>
> * repeat the same with Tvmult (multiplication from the left)
>
> You can probably come up with many similar tests that check properties of
> the
> matrix, comparing between the single-processor and multiple-processor
> cases.
> The point is that you may not know the exact answer, but you know that the
> two
> cases should result in the same output.
>
> Best
>   W.
>
> --
> 
> Wolfgang Bangerth  email: bange...@colostate.edu
> www: http://www.math.colostate.edu/~bangerth/
>
> --
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> .
>


-- 
Yuesu Jin,
Ph.D student,
University of Houston,
College of Natural Sciences and Mathematics,
Department of Earth and Atmospheric Sciences,
Houston, Texas 77204-5008
346-404-2062

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Re: [deal.II] PETSc iteration does not converge

2020-08-17 Thread Wolfgang Bangerth

On 8/17/20 6:01 PM, yuesu jin wrote:
     I did nothing to verify those properties. because the single thread CG 
solver converged well. I used  different preconditioners in parallel version 
and single thread version. In the parallel version I used block Jacobi and in 
the single thread version I used Jacobi. How can I check if the parallel 
blocked sparse matrix is/ isn't symmetrical and positive definite?


Think of tests such as this:
* run on 1 processor, multiply a vector w of all 1s from the right, and output 
the resulting vector v=Aw on all processors

* run on >1 processors and repeat
Are the vectors the same for both cases? The matrix should be the same 
regardless of partitioning, but is it?


* repeat the same with Tvmult (multiplication from the left)

You can probably come up with many similar tests that check properties of the 
matrix, comparing between the single-processor and multiple-processor cases. 
The point is that you may not know the exact answer, but you know that the two 
cases should result in the same output.


Best
 W.

--

Wolfgang Bangerth  email: bange...@colostate.edu
   www: http://www.math.colostate.edu/~bangerth/

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Re: [deal.II] PETSc iteration does not converge

2020-08-17 Thread yuesu jin
Dear Dr.Bangerth,
I did nothing to verify those properties. because the single thread CG
solver converged well. I used  different preconditioners in parallel
version and single thread version. In the parallel version I used block
Jacobi and in the single thread version I used Jacobi. How can I check if
the parallel blocked sparse matrix is/ isn't symmetrical and positive
definite?
Best regards,
Yuesu

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Re: [deal.II] PETSc iteration does not converge

2020-08-17 Thread Wolfgang Bangerth




    I tried both, first I tried 1e-4*system_rhs.l2_norm(), it failed.


Then either the matrix is not symmetric/positive definite/whatever other 
property your iterative solver requires, or your preconditioner is unsuitable. 
What have you don to verify that your matrix has the necessary properties?



Best
 W.

--

Wolfgang Bangerth  email: bange...@colostate.edu
   www: http://www.math.colostate.edu/~bangerth/

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Re: [deal.II] PETSc iteration does not converge

2020-08-16 Thread yuesu jin
Dear Dr.Bangerth,
   I tried both, first I tried 1e-4*system_rhs.l2_norm(), it failed. Then I
tried with exact precision limits, from 1e-3 to 1e-8, all of them cannot
converge.  If I set the precision level as 1e-4, with or without L2 norm it
stopped at step-42 with the residue 0.0113395.
Best regards,
Yuesu

On Sun, Aug 16, 2020 at 7:20 PM Wolfgang Bangerth 
wrote:

> On 8/14/20 9:20 PM, yuesu jin wrote:
> > I tried a few levels of the tolerance, 1e-3, 1e-4 ,1e-6 and 1e-8. 1e-3
> > converged because that is in the same level with the solution. Error
> occurs
> > below 1e-4.  I have tried the Jacobi preconditioner instead of SSOR in
> the
> > single thread CG version, it converged as well.
>
> Is this 1e-4 * system_rhs.l2_norm(), or just 1e-4? If the latter, what is
> the
> size of system_rhs.l2_norm()? You should choose a tolerance that is
> proportional to the norm of the right hand side.
>
> Best
>   W.
>
>
> --
> 
> Wolfgang Bangerth  email: bange...@colostate.edu
> www: http://www.math.colostate.edu/~bangerth/
>
> --
> The deal.II project is located at http://www.dealii.org/
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> .
>


-- 
Yuesu Jin,
Ph.D student,
University of Houston,
College of Natural Sciences and Mathematics,
Department of Earth and Atmospheric Sciences,
Houston, Texas 77204-5008
346-404-2062

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Re: [deal.II] PETSc iteration does not converge

2020-08-16 Thread Wolfgang Bangerth

On 8/14/20 9:20 PM, yuesu jin wrote:
I tried a few levels of the tolerance, 1e-3, 1e-4 ,1e-6 and 1e-8. 1e-3 
converged because that is in the same level with the solution. Error occurs 
below 1e-4.  I have tried the Jacobi preconditioner instead of SSOR in the 
single thread CG version, it converged as well.


Is this 1e-4 * system_rhs.l2_norm(), or just 1e-4? If the latter, what is the 
size of system_rhs.l2_norm()? You should choose a tolerance that is 
proportional to the norm of the right hand side.


Best
 W.


--

Wolfgang Bangerth  email: bange...@colostate.edu
   www: http://www.math.colostate.edu/~bangerth/

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Re: [deal.II] PETSc iteration does not converge

2020-08-14 Thread yuesu jin
Dear Dr. Bangerth,
  I tried a few levels of the tolerance, 1e-3, 1e-4 ,1e-6 and 1e-8. 1e-3
converged because that is in the same level with the solution. Error occurs
below 1e-4.  I have tried the Jacobi preconditioner instead of SSOR in the
single thread CG version, it converged as well.
Best regards,
Yuesu


On Fri, Aug 14, 2020 at 10:14 PM Wolfgang Bangerth 
wrote:

> On 8/14/20 5:53 PM, yuesu jin wrote:
> >
> > I also wrote a single thread CG version, which converges well. The
> > preconditioner in the parallel version is blockJacobi but the single
> thread
> > version I used is SSOR. Does it matter to the convergence? Thank you!
>
> Yes, in exactly the ways the error message shows: If you are using a
> different
> preconditioner, you should expect different convergence behavior.
>
> Whether you should expect one or the other method to work (or fail)
> depends on
> the properties of the matrix you are trying to solve. I'd also check
> whether
> the residual 0.00295038 is large or small compared to the initial
> residual.
> What is the tolerance you are using in the SolverControl object?
>
> Best
>   W.
>
> --
> 
> Wolfgang Bangerth  email: bange...@colostate.edu
> www: http://www.math.colostate.edu/~bangerth/
>
> --
> The deal.II project is located at http://www.dealii.org/
> For mailing list/forum options, see
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> .
>


-- 
Yuesu Jin,
Ph.D student,
University of Houston,
College of Natural Sciences and Mathematics,
Department of Earth and Atmospheric Sciences,
Houston, Texas 77204-5008
346-404-2062

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Re: [deal.II] PETSc iteration does not converge

2020-08-14 Thread Wolfgang Bangerth

On 8/14/20 5:53 PM, yuesu jin wrote:


I also wrote a single thread CG version, which converges well. The 
preconditioner in the parallel version is blockJacobi but the single thread 
version I used is SSOR. Does it matter to the convergence? Thank you!


Yes, in exactly the ways the error message shows: If you are using a different 
preconditioner, you should expect different convergence behavior.


Whether you should expect one or the other method to work (or fail) depends on 
the properties of the matrix you are trying to solve. I'd also check whether 
the residual 0.00295038 is large or small compared to the initial residual. 
What is the tolerance you are using in the SolverControl object?


Best
 W.

--

Wolfgang Bangerth  email: bange...@colostate.edu
   www: http://www.math.colostate.edu/~bangerth/

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