• UF Sparse Matrix Collection
  • Matrix group: Botonakis
  • Click here for a description of the Botonakis group.
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  • Matrix: Botonakis/FEM_3D_thermal1
  • Description: FEM 3D nonlinear thermal problem, 8-node bricks as volume elements
  • download as a MATLAB mat-file, file size: 2 MB. Use UFget(1851) or UFget('Botonakis/FEM_3D_thermal1') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Botonakis/FEM_3D_thermal1

    Botonakis/FEM_3D_thermal1 graph

    Matrix properties
    number of rows17,880
    number of columns17,880
    nonzeros430,740
    structural full rank?yes
    structural rank17,880
    # of blocks from dmperm1
    # strongly connected comp.1
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetry 95%
    typereal
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorI. Botonakis
    editorT. Davis
    date2007
    kindthermal problem
    2D/3D problem?yes

    Notes:

    This is a very small test problem.

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))4,014,042 2,948,254
    Cholesky flop count1.7e+09 8.1e+08
    nnz(L+U), no partial pivoting8,010,204 5,878,628
    nnz(V) for QR, upper bound nnz(L) for LU6,317,265 4,549,211
    nnz(R) for QR, upper bound nnz(U) for LU11,890,191 8,606,061

    Maintained by Tim Davis, last updated 04-May-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.