Matrix: Dziekonski/gsm_106857

Description: High-order vector finite element method in EM

Dziekonski/gsm_106857 graph
(undirected graph drawing)


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  • download as a MATLAB mat-file, file size: 198 MB. Use UFget(2329) or UFget('Dziekonski/gsm_106857') in MATLAB.
  • download in Matrix Market format, file size: 146 MB.
  • download in Rutherford/Boeing format, file size: 136 MB.

    Matrix properties
    number of rows589,446
    number of columns589,446
    structural full rank?yes
    structural rank589,446
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?no
    positive definite?no

    authorA. Dziekonski, A. Lamecki, M. Mrozowski
    editorT. Davis
    kindelectromagnetics problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 589446-by-1


    High order vector finite element method in electromagnetics     
    The matrices came from analysis of a 9-th order microwave       
    combline filter with second order (LT\QN) vector finite elements
    with different mesh quality. The matrices were used as an       
    example in our paper [1].                                       
    gsm_106857 - real symmetric matrix (589446 x 589446) and        
        21758924 nonzero elements. First 98577 unknowns corresponds 
        to lowest level (CT\LN) base functions.                     
    All matrices are sparse and come with right-hand-sides.         
    [1] GPU Acceleration of Multilevel Solvers for Analysis of      
    Microwave Components with Finite Element Method, A. Dziekonski, 
    A. Lamecki, A., and M. Mrozowski, M., IEEE Microwave and        
    Wireless Components Letters, vol 20, number 12,                 
    Dec 2010.          

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD184,098,449
    Cholesky flop count1.9e+11
    nnz(L+U), no partial pivoting, with AMD367,607,452
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD433,129,917
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,001,317,649

    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.