• UF Sparse Matrix Collection
  • Matrix group: Botonakis
  • Click here for a description of the Botonakis group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: Botonakis/FEM_3D_thermal2
  • Description: FEM 3D nonlinear thermal problem, 8-node bricks as volume elements
  • 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
  • download in Rutherford/Boeing format

    Botonakis/FEM_3D_thermal2

    Botonakis/FEM_3D_thermal2 graph

    Matrix properties
    number of rows147,900
    number of columns147,900
    nonzeros3,489,300
    structural full rank?yes
    structural rank147,900
    # 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 the smallest problem whose results are useful.
    

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))46,622,496 28,339,721
    Cholesky flop count4.9e+10 1.3e+10
    nnz(L+U), no partial pivoting93,097,092 56,531,542
    nnz(V) for QR, upper bound nnz(L) for LU96,333,467 47,176,290
    nnz(R) for QR, upper bound nnz(U) for LU179,092,189 89,310,050

    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.