Matrix: Um/offshore
Description: 3D FEM, transient electric field diffusion. Evan Um, Stanford
(undirected graph drawing) |
Matrix properties | |
number of rows | 259,789 |
number of columns | 259,789 |
nonzeros | 4,242,673 |
structural full rank? | yes |
structural rank | 259,789 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | yes |
positive definite? | yes |
author | E. Um |
editor | T. Davis |
date | 2010 |
kind | electromagnetics problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 259789-by-1 |
Notes:
This is a finite-element system matrix deriving from the 3D transient electric field diffusion equation. The matrix results from the discretization of offshore conductivity structures using tetrahedral elements. Evan Um, Geophysics, Stanford.
Ordering statistics: | result |
nnz(chol(P*(A+A'+s*I)*P')) with AMD | 158,143,888 |
Cholesky flop count | 4.6e+11 |
nnz(L+U), no partial pivoting, with AMD | 316,027,987 |
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD | 392,939,742 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 744,604,111 |
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.