Janna/Geo_1438

geomechanical model of earth crust with underground deformation
Name Geo_1438
Group Janna
Matrix ID 2545
Num Rows 1,437,960
Num Cols 1,437,960
Nonzeros 60,236,322
Pattern Entries 63,156,690
Kind Structural Problem
Symmetric Yes
Date 2011
Author C. Janna, M. Ferronato
Editor T. Davis
Structural Rank 1,437,960
Structural Rank Full true
Num Dmperm Blocks 66,481
Strongly Connect Components 66,481
Num Explicit Zeros 2,920,368
Pattern Symmetry 100%
Numeric Symmetry 100%
Cholesky Candidate yes
Positive Definite yes
Type real
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Notes 
Authors: Carlo Janna and Massimiliano Ferronato                 
                                                                
Symmetric Positive Definite Matrix                              
# equations:   1437960                                          
# non-zeroes: 63156690                                          
Problem description: Geomechanical problem                      
                                                                
The matrix Geo_1438 is obtained from a geomechanical problem    
discretizing a region of the earth crust subject to underground 
deformation. The computational domain is a box with an areal    
extent of 50 x 50 km and 10 km deep consisting of regularly     
shaped tetrahedral Finite Elements.  The problem arises from a  
3D discretization with three displacement unknowns associated to
each node of the grid.  This matrix has been used as a test case
in the following paper:                                         
                                                                
1) 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.