Matrix: Lee/fem_filter

Description: FEM bandpass microwave filter, 500MHz. Center for Comp. Electromag., UIUC

Lee/fem_filter graph
(undirected graph drawing)


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  • download as a MATLAB mat-file, file size: 18 MB. Use UFget(1878) or UFget('Lee/fem_filter') in MATLAB.
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    Matrix properties
    number of rows74,062
    number of columns74,062
    structural full rank?yes
    structural rank74,062
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 61%
    Cholesky candidate?no
    positive definite?no

    authorS.-H. Lee
    editorT. Davis
    kindelectromagnetics problem
    2D/3D problem?yes


    From the Univ of Illinois at Urbana-Champaign, Center for Computational 
    Electromagnetics (development and application of the finite element     
    method for analyzing antennas, high-frequency circuits, high-speed      
    circuits, and so on).  The governing equations are Maxwell's equations. 
    The matrix results from the finite-element discretization of a bandpass 
    microwave filter at 500 MHz. The first-order vector element is employed.
    The absorbing boundary condition is applied on the outer boundary of the
    structure for emulating the open space.  The port boundary condition is 
    applied on each port of the circuit for the truncating the computational
    domain and exciting the circuit. Due to these boundary conditions, the  
    finite-element system matrix is complex.                                

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD30,376,062
    Cholesky flop count4.4e+10
    nnz(L+U), no partial pivoting, with AMD60,678,062
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD71,971,769
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD135,637,784

    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.