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 
Download 
MATLAB
Rutherford Boeing
Matrix Market

Notes 
Authors: Carlo Janna and Massimiliano Ferronato
Symmetric Positive Definite Matrix
# equations: 1437960
# nonzeroes: 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 FSAIILU
parallel preconditioner for symmetric positive definite linear
systems". SIAM Journal on Scientific Computing, 32, pp.
24682484, 2010.
