Description: 3D model of a steel flange, hexahedral finite elements
|(undirected graph drawing)|
|number of rows||1,564,794|
|number of columns||1,564,794|
|structural full rank?||yes|
|# of blocks from dmperm||1|
|# strongly connected comp.||1|
|explicit zero entries||3,240,672|
|nonzero pattern symmetry||symmetric|
|numeric value symmetry||symmetric|
|author||C. Janna, M. Ferronato|
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.
|nnz(chol(P*(A+A'+s*I)*P')) with AMD||3,651,940,140|
|Cholesky flop count||2.2e+13|
|nnz(L+U), no partial pivoting, with AMD||7,302,315,486|
|nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD||6,488,489,176|
|nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD||12,183,623,118|
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 3240672 explicit zero entries.
For a description of the statistics displayed above, click here.
Maintained by Tim Davis, last updated 12-Mar-2014.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.