3D model of a steel flange, hexahedral finite elements
Name Flan_1565
Group Janna
Matrix ID 2544
Num Rows 1,564,794
Num Cols 1,564,794
Nonzeros 114,165,372
Pattern Entries 117,406,044
Kind Structural Problem
Symmetric Yes
Date 2011
Author C. Janna, M. Ferronato
Editor T. Davis
Structural Rank 1,564,794
Structural Rank Full true
Num Dmperm Blocks 1
Strongly Connect Components 1
Num Explicit Zeros 3,240,672
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:    1564794                                         
# non-zeroes: 117406044                                         
Problem description: Structural problem                         
The matrix Flan_1565 is obtained from a 3D mechanical problem   
discretizing a steel flange with hexahedral Finite Elements. Due
to the regular shape of the mechanical piece, the computational 
grid is a structured mesh with regularly shaped elements. Three 
displacement unknowns are associated to each node of the grid.  
Some further information may be found in the following papers:  
1) C. Janna, A. Comerlati, G. Gambolati. "A comparison of       
projective and direct solvers for finite elements in            
elastostatics". Advances in Engineering Software, 40, pp.       
675-685, 2009.                                                  
2) 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.