3D fully coupled poroelastic problem
Name CoupCons3D
Group Janna
Matrix ID 2647
Num Rows 416,800
Num Cols 416,800
Nonzeros 17,277,420
Pattern Entries 22,322,336
Kind Structural Problem
Symmetric No
Date 2012
Author C. Janna, M. Ferronato, G. Pini
Editor T. Davis
Structural Rank 416,800
Structural Rank Full true
Num Dmperm Blocks 84,321
Strongly Connect Components 84,321
Num Explicit Zeros 5,044,916
Pattern Symmetry 100%
Numeric Symmetry 0.9%
Cholesky Candidate no
Positive Definite no
Type real
Download MATLAB Rutherford Boeing Matrix Market
Authors: Carlo Janna, Massimiliano Ferronato Giorgio Pini       
Matrix type: Unsymmetric                                        
# equations:      416,800                                       
# non-zeroes:   22,322,336                                      
Problem description: Fully coupled poroelastic problem          
(structural problem)                                            
The matrix CoupCons3D has been obtained through a Finite Element
transient simulation of a fully coupled consolidation problem on
a three-dimensional domain using Finite Differences for the     
discretization in time.                                         
Further information can be found in the following papers:       
1) M. Ferronato, G. Pini, and G. Gambolati. The role of         
preconditioning in the solution to FE coupled consolidation     
equations by Krylov subspace methods.  International Journal for
Numerical and Analytical Methods in Geomechanics 33 (2009), pp. 
2) M. Ferronato, C. Janna, and G. Pini. Parallel solution to    
ill-conditioned FE geomechanical problems. International Journal
for Numerical and Analytical Methods in Geomechanics 36 (2012), 
pp. 422-437.                                                    
3) M. Ferronato, C. Janna and G. Pini. A generalized Block FSAI 
preconditioner for unsymmetric indefinite matrices. Journal of  
Computational and Applied Mathematics (2012), submitted.