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
Authors: Carlo Janna and Massimiliano Ferronato                 
Symmetric Positive Definite Matrix                              
# equations:  638802                                            
# non-zeroes: 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   
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. 633-657, 2008.      
2) M. Ferronato, C. Janna, G. Gambolati. "Mixed constraint      
preconditioning in computational contact mechanics", Computer   
Methods in Applied Mechanics and Engineering, 197, pp.          
3922-3931, 2008.                                                
3) C. Janna, M. Ferronato, G. Gambolati. "Multilevel incomplete 
factorizations for the iterative solution of non-linear FE      
problems". International Journal for Numerical Methods in       
Engineering, 80, pp. 651-670, 2009.                             
4) C. Janna, M. Ferronato, G. Gambolati. "A Block FSAI-ILU      
parallel preconditioner for symmetric positive definite linear  
systems". SIAM Journal on Scientific Computing, 32, pp.         
2468-2484, 2010.