[petsc-users] Questions on dense and sparse matrix block

Danyang Su danyang.su at gmail.com
Wed Jan 22 14:11:59 CST 2014


Dear All,

I have a reactive transport problem that use block matrices. Each block 
can be dense with a lot of zero entries or sparse without zero entries. 
The model has been tested for a 1D reactive transport problem. When 
dense block is used, it works well and time step can be increased 
gradually to reach a maximum time step, but when sparse block is used, 
the time step remains at a small value. I checked the entries for both 
dense blocks and sparse blocks (A), they have the same non-zero entries. 
With the same RHS (b), the solution (X) is a little different, but seems 
acceptable. The first matrix with both dense blocks and sparse blocks 
has been attached. The matrix is exported in matrix market exchange 
format (.mtp).

I wonder if this is caused by the outer newton iteration or the solver 
as this is not a general problem. This problem only occurs in some cases.

Does anyone run into this problem before?

Thanks and regards,

Danyang
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%%MatrixMarket matrix coordinate real general                                     
%=================================================================================
%                                                                                 
% This ASCII file represents a sparse MxN matrix with L                           
% nonzeros in the following Matrix Market format:                                 
%                                                                                 
% +----------------------------------------------+                                
% |%%MatrixMarket matrix coordinate real general | <--- header line               
% |%                                             | <--+                           
% |% comments                                    |    |-- 0 or more comment lines 
% |%                                             | <--+                           
% |    M  N  L                                   | <--- rows, columns, entries    
% |    I1  J1  A(I1, J1)                         | <--+                           
% |    I2  J2  A(I2, J2)                         |    |                           
% |    I3  J3  A(I3, J3)                         |    |-- L lines                 
% |        . . .                                 |    |                           
% |    IL JL  A(IL, JL)                          | <--+                           
% +----------------------------------------------+                                
%                                                                                 
% Indices are 1-based, i.e. A(1,1) is the first element.                          
%                                                                                 
%=================================================================================
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