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
# 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.
|
