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: dealii@googlegroups.com <dealii@googlegroups.com> on behalf of Lex Lee 
<hitlex...@gmail.com>
Sent: Wednesday, September 27, 2023 8:15:14 PM
To: deal.II User Group <dealii@googlegroups.com>
Subject: [deal.II] Difference between 2 Wasy to Initialize System Matrix in MPI 
World


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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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