Hello Timo, 

Thanks for your reply and suggestion. Now, I know what the difference is.

Since  I'm using "make_flux_sparsity_pattern" function and have to input 
the coupling dofs table -- ''cell coupling" + "face coupling". It seems 
that I have no choice but to use "constraints.condense(dsp)" after 
"make_flux_sparsity_pattern" implementation.  

There are 4 template member functions for "make_flux_sparsity_pattern" in 
this 
link: https://www.dealii.org/current/doxygen/deal.II/group__constraints.html
In my opinion, only #3 is suitable for my case.  

Any better idea?


Again, thanks a lot for sharing your ideas with me. 


Best,
Lex
On Thursday, September 28, 2023 at 1:22:49 PM UTC-7 Timo Heister wrote:

> Lex,
>
> I would strongly advice against using AffineConstraints::condense() in an 
> MPI parallel computation. It is inefficient and also likely incorrect if 
> you run it before distribute_sparsity_pattern().
> Instead, use distribute_local_to_global during assembly (see step-40 for 
> an example).
>
> --
> Timo Heister
> http://www.math.clemson.edu/~heister/
> ------------------------------
> *From:* dea...@googlegroups.com <dea...@googlegroups.com> on behalf of 
> Lex Lee <hitl...@gmail.com>
> *Sent:* Wednesday, September 27, 2023 8:15:14 PM
> *To:* deal.II User Group <dea...@googlegroups.com>
> *Subject:* [deal.II] Difference between 2 Wasy to Initialize System 
> Matrix in MPI World 
>  
>
> *This Message Is From An External Sender:* Use caution when opening links 
> or attachments if you do not recognize the sender. 
> Hello all, 
>
>
> Previously, I initialized my system matrix in this way (option A) 
>
> DoFTools::make_flux_sparsity_pattern(dof_handler,
>                                     dsp,
>                                     cell_coupling,
>                                     face_coupling);
> constraints_newton_update.condense(dsp);
> SparsityTools::distribute_sparsity_pattern(dsp,
>                                    hp_index_set,
>                                    mpi_communicator,
>                                    hp_relevant_set);
> system_matrix.reinit(hp_index_set,
>                      hp_index_set,
>                      dsp,
>                      mpi_communicator);
>
> However, the generated system matrix is singular. I was stuck by the 
> singular matrix problem for about 2 weeks.
>
>
> Then, I initialized the matrix with option B, which generates a full rank 
> matrix. Although, I don't see the difference between these 2 ways.  Can 
> someone explain this to me? Thans in advance.
>
> DoFTools::make_flux_sparsity_pattern(dof_handler,
>                                      dsp,
>                                      cell_coupling,
>                                      face_coupling);
> constraints_newton_update.condense(dsp);
> sparsity_pattern.copy_from(dsp);
> system_matrix.reinit(hp_index_set,
>                      sparsity_pattern,
>                      mpi_communicator);
>
> -- 
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