Description: flow in porous medium with stochastic permeabilies
|(undirected graph drawing)|
|number of rows||1,465,137|
|number of columns||1,465,137|
|structural full rank?||yes|
|# of blocks from dmperm||29,105|
|# strongly connected comp.||29,105|
|explicit zero entries||0|
|nonzero pattern symmetry||symmetric|
|numeric value symmetry||symmetric|
|author||C. Janna, M. Ferronato|
|kind||computational fluid dynamics problem|
Authors: Carlo Janna and Massimiliano Ferronato Symmetric Positive Definite Matrix # equations: 1465137 # non-zeroes: 21005389 Problem description: Flow in porous medium with stochastic permeabilies The matrix StocF_1465 is obtained from a fluid-dynamical problem of flow in porous medium. The computational grid consists of tetrahedral Finite Elements discretizing an underground aquifer with stochastic permeabilties. Some further information may be found in the following papers: 1) C. Janna, M. Ferronato. "Adaptive pattern research for Block FSAI preconditioning". SIAM Journal on Scientific Computing, to appear. 2) M. Ferronato, C. Janna, G. Pini. "Shifted FSAI preconditioners for the efficient parallel solution of non-linear groundwater flow models". International Journal for Numerical Methods in Engineering, to appear.
|nnz(chol(P*(A+A'+s*I)*P')) with AMD||3,846,080,925|
|Cholesky flop count||4.3e+13|
|nnz(L+U), no partial pivoting, with AMD||7,690,696,713|
|nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD||5,963,770,110|
|nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD||10,536,150,363|
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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.