flow in porous medium with stochastic permeabilies
Name StocF-1465
Group Janna
Matrix ID 2547
Num Rows 1,465,137
Num Cols 1,465,137
Nonzeros 21,005,389
Pattern Entries 21,005,389
Kind Computational Fluid Dynamics Problem
Symmetric Yes
Date 2011
Author C. Janna, M. Ferronato
Editor T. Davis
Structural Rank 1,465,137
Structural Rank Full true
Num Dmperm Blocks 29,105
Strongly Connect Components 29,105
Num Explicit Zeros 0
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:   1465137                                          
# non-zeroes: 21005389                                          
Problem description: Flow in porous medium with stochastic      
The matrix StocF_1465 is obtained from a fluid-dynamical problem
of flow in porous medium.  The computational grid consists of   
tetrahedral Finite Elements discretizing an underground aquifer 
with stochastic permeabilties.  Some further information may be 
found in the following papers:                                  
1) C. Janna, M. Ferronato. "Adaptive pattern research for Block 
FSAI preconditioning".  SIAM Journal on Scientific Computing, to
2) M. Ferronato, C. Janna, G. Pini. "Shifted FSAI               
preconditioners for the efficient parallel solution of          
non-linear groundwater flow models". International Journal for  
Numerical Methods in Engineering, to appear.