Matrix: Janna/Emilia_923

Description: geomechanical model for C02 sequestration

Janna/Emilia_923 graph
(undirected graph drawing)

Janna/Emilia_923 dmperm of Janna/Emilia_923

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  • Matrix group: Janna
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  • download as a MATLAB mat-file, file size: 170 MB. Use UFget(2542) or UFget('Janna/Emilia_923') in MATLAB.
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  • download in Rutherford/Boeing format, file size: 99 MB.

    Matrix properties
    number of rows923,136
    number of columns923,136
    structural full rank?yes
    structural rank923,136
    # of blocks from dmperm14,425
    # strongly connected comp.14,425
    explicit zero entries631,668
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorC. Janna, M. Ferronato
    editorT. Davis
    kindstructural problem
    2D/3D problem?yes


    Authors: Carlo Janna and Massimiliano Ferronato                 
    Symmetric Positive Definite Matrix                              
    # equations:  923136                                            
    # non-zeroes: 41005206                                          
    Problem description: Geomechanical problem                      
    The matrix Emilia_923 is obtained from a structural problem     
    discretizing a gas reservoir with tetrahedral Finite Elements.  
    Due to the complex geometry of the geological formation it was  
    not possible to obtain a computational grid characterized by    
    regularly shaped elements.  The problem arises from a 3D        
    discretization with three displacement unknowns associated to   
    each node of the grid.  Some further information may be found in
    the following papers:                                           
    1) M. Ferronato, G. Gambolati, C. Janna, P. Teatini.            
    "Geomechanical issues of anthropogenic CO2 sequestration in     
    exploited gas fields", Energy Conversion and Management, 51, pp.
    1918-1928, 2010.                                                
    2) C. Janna, M. Ferronato. "Adaptive pattern research for block 
    FSAI preconditionig". SIAM Journal on Scientific Computing, to  

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD5,317,434,978
    Cholesky flop count1.3e+14
    nnz(L+U), no partial pivoting, with AMD10,633,946,820
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD6,960,196,599
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD12,298,145,622

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 631668 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.