Matrix: Janna/StocF-1465

Description: flow in porous medium with stochastic permeabilies

Janna/StocF-1465 graph
(undirected graph drawing)

Janna/StocF-1465 dmperm of Janna/StocF-1465

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Janna
  • Click here for a description of the Janna group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 174 MB. Use UFget(2547) or UFget('Janna/StocF-1465') in MATLAB.
  • download in Matrix Market format, file size: 109 MB.
  • download in Rutherford/Boeing format, file size: 98 MB.

    Matrix properties
    number of rows1,465,137
    number of columns1,465,137
    structural full rank?yes
    structural rank1,465,137
    # of blocks from dmperm29,105
    # strongly connected comp.29,105
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorC. Janna, M. Ferronato
    editorT. Davis
    kindcomputational fluid dynamics problem
    2D/3D problem?yes


    Authors: Carlo Janna and Massimiliano Ferronato                 
    Symmetric Positive Definite Matrix                              
    # equations:   1465137                                          
    # non-zeroes: 21005389                                          
    Problem description: Flow in porous medium with stochastic      
    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
    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.                    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD3,846,080,925
    Cholesky flop count4.3e+13
    nnz(L+U), no partial pivoting, with AMD7,690,696,713
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD5,963,770,110
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD10,536,150,363

    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.