Matrix: Botonakis/FEM_3D_thermal2

Description: FEM 3D nonlinear thermal problem, 8-node bricks as volume elements

Botonakis/FEM_3D_thermal2 graph
(undirected graph drawing)


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  • download as a MATLAB mat-file, file size: 20 MB. Use UFget(1852) or UFget('Botonakis/FEM_3D_thermal2') in MATLAB.
  • download in Matrix Market format, file size: 33 MB.
  • download in Rutherford/Boeing format, file size: 29 MB.

    Matrix properties
    number of rows147,900
    number of columns147,900
    structural full rank?yes
    structural rank147,900
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 95%
    Cholesky candidate?no
    positive definite?no

    authorI. Botonakis
    editorT. Davis
    kindthermal problem
    2D/3D problem?yes


    This is the smallest problem whose results are useful.

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD46,622,496
    Cholesky flop count4.9e+10
    nnz(L+U), no partial pivoting, with AMD93,097,092
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD96,333,467
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD179,092,189

    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.