Matrices from Reijo Kouhia, Structural Mechanics, Helsinki Univ. of Technology (Teknillinen Korkeakoulo) http://users.tkk.fi/~kouhia/sparse.html 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). The following matrices can be found from the MatrixMarket in the set CYLSHELL o Cyl shell, R/t = 10, unif 30 x 30 quadrilateral mesh, N = 5489, NZ = 143300, triangular mesh NZ = 112505, o Cyl shell, R/t = 100, unif 30 x 30 quadrilateral mesh, N = 5489, NZ = 143300, triangular mesh NZ = 112505, o Cyl shell, R/t = 1000, unif 30 x 30 quadrilateral mesh, N = 5489, NZ = 143300, triangular mesh NZ = 112505 o Cyl shell, R/t = 1000, unif 100 x 150 quadrilateral mesh, N = 90449, NZ = 2455670, triangular mesh NZ = 1921955 o Cyl shell graded mesh with 1666 triangles R/t = 1000, N = 5357, NZ = 106526, Matrices in this group: Kouhia/s4dkt3m2 Kouhia/g3rmt3m3 Kouhia/t520 Kouhia/smt Kouhia/engine Kouhia/plbuckle Kouhia/cbuckle Kouhia/cyl6 Kouhia/tube1 Kouhia/tube2 Kouhia/t2d_q4 Kouhia/t2d_q9 Matrices from Reijo Kouhia in other matrix groups: Cylshell/s1rmq4m1 Cylshell/s2rmq4m1 Cylshell/s3rmq4m1 Cylshell/s1rmt3m1 Cylshell/s2rmt3m1 Cylshell/s3rmt3m1 Cylshell/s3rmt3m3 GHS_psdef/s3dkq4m2 GHS_psdef/s3dkt3m2 -------------------------------------------------------------------------------- s4dkt3m2 -------------------------------------------------------------------------------- Some additional cases not in MatrixMarket: o Cyl shell R/t = 10000, unif 100 x 150 triangular mesh, s4dkt3m2.dat.gz , N = 90449, NZ = 1921955 -------------------------------------------------------------------------------- g3rmt3m3 -------------------------------------------------------------------------------- o g3rmt3m3.dat.gz -------------------------------------------------------------------------------- t520.hb.gz, t520.load.gz -------------------------------------------------------------------------------- * T-beam: t520.hb.gz , load vector, t520.load.gz , -------------------------------------------------------------------------------- smt.hb.gz, smt.mtx.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 -------------------------------------------------------------------------------- engine.hb.gz, engine.rhs.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 -------------------------------------------------------------------------------- eigen/plb_k, eigen/plb_g -> renamed plbuckle -------------------------------------------------------------------------------- * Double eigenvalue plate buckling problem: stiffness matrix and initial stress matrix . Symmetric matrices, upper triangle is stored in coordinate format. -------------------------------------------------------------------------------- ck.dat, cg.dat -> renamed cbuckle -------------------------------------------------------------------------------- * Compressed cylindrical shell -- buckling problem: stiffness matrix and initial stress matrix . Symmetric matrices, lower triangle is stored in coordinate format N = 13681. -------------------------------------------------------------------------------- cyl6, v_6_[0,1,2] -------------------------------------------------------------------------------- * 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* -------------------------------------------------------------------------------- * 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 -------------------------------------------------------------------------------- t2d_q4 -------------------------------------------------------------------------------- * 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) -------------------------------------------------------------------------------- t2d_q9 -------------------------------------------------------------------------------- * Non-linear diffusion problem, sequence of matrices and rhs-vectors. These matrices are in the compressed sparse row format (CSR) 50x50 biquadratic mesh (87 MB). Temperature field. The following data was not imported into the UF Sparse Matrix Collection: -------------------------------------------------------------------------------- mesh2 -------------------------------------------------------------------------------- Node-unknown data for mesh 2 (100 x 150 element mesh)