Description: geomechanical model of earth crust with underground deformation
|(undirected graph drawing)|
|number of rows||1,437,960|
|number of columns||1,437,960|
|structural full rank?||yes|
|# of blocks from dmperm||66,481|
|# strongly connected comp.||66,481|
|explicit zero entries||2,920,368|
|nonzero pattern symmetry||symmetric|
|numeric value symmetry||symmetric|
|author||C. Janna, M. Ferronato|
Authors: Carlo Janna and Massimiliano Ferronato Symmetric Positive Definite Matrix # equations: 1437960 # non-zeroes: 63156690 Problem description: Geomechanical problem The matrix Geo_1438 is obtained from a geomechanical problem discretizing a region of the earth crust subject to underground deformation. The computational domain is a box with an areal extent of 50 x 50 km and 10 km deep consisting of regularly shaped tetrahedral Finite Elements. The problem arises from a 3D discretization with three displacement unknowns associated to each node of the grid. This matrix has been used as a test case in the following paper: 1) 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||6,297,700,169|
|Cholesky flop count||1.2e+14|
|nnz(L+U), no partial pivoting, with AMD||12,593,962,378|
|nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD||7,633,969,695|
|nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD||13,733,310,294|
Note that all matrix statistics (except nonzero pattern symmetry) exclude the 2920368 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.