Janna/Fault_639
contact mechanics for model of a faulted gas reservoir
Name 
Fault_639 
Group 
Janna 
Matrix ID 
2543 
Num Rows

638,802 
Num Cols

638,802 
Nonzeros

27,245,944 
Pattern Entries

28,614,564 
Kind

Structural Problem 
Symmetric

Yes 
Date

2011 
Author

C. Janna, M. Ferronato 
Editor

T. Davis 
Structural Rank 
638,802 
Structural Rank Full 
true 
Num Dmperm Blocks

21,880 
Strongly Connect Components

21,880 
Num Explicit Zeros

1,368,620 
Pattern Symmetry

100% 
Numeric Symmetry

100% 
Cholesky Candidate

yes 
Positive Definite

yes 
Type

real 
Download 
MATLAB
Rutherford Boeing
Matrix Market

Notes 
Authors: Carlo Janna and Massimiliano Ferronato
Symmetric Positive Definite Matrix
# equations: 638802
# nonzeroes: 28614564
Problem description: contact mechanics
The matrix Fault_639 is obtained from a structural problem
discretizing a faulted gas reservoir with tetrahedral Finite
Elements and triangular Interface Elements. The Interface
Elements are used with a Penalty formulation to simulate the
faults behaviour. The problem arises from a 3D discretization
with three displacement unknowns associated to each node of the
grid. Some further information may be found in the following
papers:
1) M. Ferronato, G. Gambolati, C. Janna, P. Teatini. "Numerical
modelling of regional faults in land subsidence prediction above
gas/oil reservoirs", International Journal for Numerical and
Analytical Methods in Geomechanics, 32, pp. 633657, 2008.
2) M. Ferronato, C. Janna, G. Gambolati. "Mixed constraint
preconditioning in computational contact mechanics", Computer
Methods in Applied Mechanics and Engineering, 197, pp.
39223931, 2008.
3) C. Janna, M. Ferronato, G. Gambolati. "Multilevel incomplete
factorizations for the iterative solution of nonlinear FE
problems". International Journal for Numerical Methods in
Engineering, 80, pp. 651670, 2009.
4) C. Janna, M. Ferronato, G. Gambolati. "A Block FSAIILU
parallel preconditioner for symmetric positive definite linear
systems". SIAM Journal on Scientific Computing, 32, pp.
24682484, 2010.
