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
Rutherford Boeing
Matrix Market
|
| Notes |
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.
405-423.
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.
|
