Janna/CoupCons3D
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
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Notes 
Authors: Carlo Janna, Massimiliano Ferronato Giorgio Pini
Matrix type: Unsymmetric
# equations: 416,800
# nonzeroes: 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 threedimensional 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.
405423.
2) M. Ferronato, C. Janna, and G. Pini. Parallel solution to
illconditioned FE geomechanical problems. International Journal
for Numerical and Analytical Methods in Geomechanics 36 (2012),
pp. 422437.
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.
