HUT /
Structural Mechanics /
Reijo Kouhia
Sparse matrix test problems
These matrices are stored either in the compressed column format
(Harwell-Boeing format, see I. Duff et al.: Sparse Matrix Test Problems,
ACM Transactions on Mathematical Software, Vol. 15 No. 1,
March 1989, 1-14) or in the MatrixMarket coordinate format
(R.F. Boisvert et al.: The Matrix Market Exchange Formats: Initial Design,
NISTIR 5935, 1996).
Description of both formats can be found from
MatrixMarket.
- Cylindrical shell problems:
Short description (html), and slightly more informative
documentation (gzipped postcript-file cylshell.ps.gz, size 205 k).
Figure of the FE mesh.
The following matrices can be found from the
MatrixMarket
in the set
CYLSHELL
- Cyl shell, R/t = 10, unif 30 x 30 quadrilateral mesh, N = 5489,
NZ = 143300, triangular mesh NZ = 112505,
- Cyl shell, R/t = 100, unif 30 x 30 quadrilateral mesh, N = 5489,
NZ = 143300, triangular mesh NZ = 112505,
- Cyl shell, R/t = 1000, unif 30 x 30 quadrilateral mesh, N = 5489,
NZ = 143300, triangular mesh NZ = 112505
- Cyl shell, R/t = 1000, unif 100 x 150 quadrilateral mesh,
N = 90449, NZ = 2455670, triangular mesh NZ = 1921955
- Cyl shell graded mesh with 1666 triangles R/t = 1000,
N = 5357, NZ = 106526,
Some additional cases not in MatrixMarket:
Node-unknown data for mesh 2 (100 x 150 element mesh)
Load vector for mesh M3 (m3.load.gz)
- T-beam:
t520.hb.gz ,
load vector,
t520.load.gz ,
- 3-D solid model from a thermal stress analysis
of a surface mounted transistor,
N = 25710, NZ = 1889447,
1704 triquadratic Serendipity 20 node brick elements,
four different materials.
HB-format file smt.hb.gz,
MM-format file smt.mtx.gz,
figure of the FE-model:
smt.ps.gz
- 3-D solid model from a thermal stress analysis of an engine head:
matrix in HB-format:
engine.hb.gz,
rhs-vector:
engine.rhs.gz
- Double eigenvalue plate buckling problem:
stiffness matrix and
initial stress matrix .
Symmetric matrices, upper triangle is stored in coordinate format.
- Compressed cylindrical shell -- buckling problem:
stiffness matrix and
initial stress matrix .
Symmetric matrices, lower triangle is stored in coordinate format
N = 13681.
- Cylindrical shell, from non-linear analysis, indefinite:
HB-format file cyl6.dat.gz
Symmetric matrix N = 13681, NZ = 363961.
Some rhs vectors at step 6
v_6_0.rhs,
v_6_1.rhs,
v_6_2.rhs
- Tube, SPD matrix:
HB-format file tube1.dat.gz
Symmetric matrix N = 21498, NZ = 459277.
HB-format file tube1-2.dat.gz
Symmetric matrix N = 21498, NZ = 459277,
load vector tube1-2.load.gz
- Non-linear diffusion problem, sequence of matrices and rhs-vectors.
These matrices are in the compressed sparse row format (CSR).
100x100 bilinear mesh (41 MB),
50x50 biquadratic mesh (87 MB).
Temperature field.
Additional data
Created 12.5.1997, last update 10.3.2009