Janna/Flan_1565
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

Notes 
Authors: Carlo Janna and Massimiliano Ferronato
Symmetric Positive Definite Matrix
# equations: 1564794
# nonzeroes: 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.
675685, 2009.
2) 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.
