Thu Sep  4 22:52:55 2014

WATHEN_TEST
  PYTHON version:
  Test the WATHEN library.

WATHEN_TEST01
  Assemble, factor and solve a Wathen system
  defined by WATHEN_GE.

  Elements in X direction NX = 4
  Elements in Y direction NY = 4
  Number of elements = 16
  Number of nodes N = 65
  Norm of solution error is 5.02633e-15

WATHEN_TEST02
  Assemble, factor and solve a Wathen system
  defined by WATHEN_CSC.

  Elements in X direction NX = 4
  Elements in Y direction NY = 4
  Number of elements = 16
  Number of nodes N = 65
  Norm of solution error is 1.51792e-14

WATHEN_TEST03
  For various problem sizes,
  time the assembly and factorization of a Wathen system
  using the WATHEN_GE function.

    NX  Elements   Nodes   Storage    Assembly       Factor      Error

     1         1       8        64    3.51e-04    9.60e-05    1.26e-15
     2         4      21       441    1.15e-03    7.90e-05    2.92e-15
     4        16      65      4225    4.35e-03    3.90e-04    5.03e-15
     8        64     225     50625    2.13e-02    2.54e-03    8.44e-15
    16       256     833    693889    7.70e-02    9.08e-02    3.78e-13
    32      1024    3201  10246401    3.42e-01    4.25e+00    4.29e-14

WATHEN_TEST04
  For various problem sizes,
  time the assembly and factorization of a Wathen system
  using the WATHEN_CSC function.

    NX  Elements   Nodes    Assembly       Factor      Error

     1         1       8    6.59e-04    1.05e-04    1.61e-15
     2         4      21    9.99e-04    9.70e-05    4.82e-15
     4        16      65    2.96e-03    2.19e-04    1.52e-14
     8        64     225    1.04e-02    9.71e-04    6.91e-15
    16       256     833    4.09e-02    4.33e-03    1.14e-12
    32      1024    3201    1.66e-01    4.44e-02    3.44e-14
    64      4096   12545    6.79e-01    2.39e-01    7.24e-14

WATHEN_TEST05
  For various problem sizes, 
  time the assembly and factorization of a Wathen system
  WATHEN_GE and WATHEN_CSC.

                   NX  Elements   Nodes     Assembly      Factor      Error

  WATHEN_GE         1         1       8    3.64e-04    1.18e-04    1.26e-15
  WATHEN_CSC        1         1       8    5.86e-04    9.60e-05    1.76e-15

  WATHEN_GE         2         4      21    1.16e-03    8.00e-05    2.92e-15
  WATHEN_CSC        2         4      21    9.96e-04    9.20e-05    3.34e-15

  WATHEN_GE         4        16      65    4.52e-03    2.93e-04    5.03e-15
  WATHEN_CSC        4        16      65    2.89e-03    1.49e-03    1.31e-14

  WATHEN_GE         8        64     225    1.73e-02    2.43e-03    8.44e-15
  WATHEN_CSC        8        64     225    1.08e-02    1.06e-03    6.62e-15

  WATHEN_GE        16       256     833    7.03e-02    9.17e-02    3.78e-13
  WATHEN_CSC       16       256     833    4.22e-02    4.88e-03    6.34e-13

  WATHEN_GE        32      1024    3201    3.37e-01    4.35e+00    4.29e-14
  WATHEN_CSC       32      1024    3201    1.75e-01    4.03e-02    3.87e-14

WATHEN_TEST06
  Assemble, factor and solve a Wathen system
  defined by WATHEN_GE and CG_GE.

  Elements in X direction NX = 2
  Elements in Y direction NY = 2
  Number of elements = 4
  Number of nodes N = 21
  Maximum solution error is 1.26407e-05

WATHEN_TEST07
  Assemble, factor and solve a Wathen system
  defined by WATHEN_CSC and CG_CSC.

  Elements in X direction NX = 2
  Elements in Y direction NY = 2
  Number of elements = 4
  Number of nodes N = 21
  Maximum solution error is 6.16771e-06

WATHEN_TEST08
  Assemble, factor and solve a Wathen system
  defined by WATHEN_ST and CG_ST.

  Elements in X direction NX = 1
  Elements in Y direction NY = 1
  Number of elements = 1
  Number of nodes N = 8
  Number of nonzeros = 64

  Maximum solution error is 1.97519e-15

WATHEN_TEST09
  Display the sparsity of the Wathen matrix.

  Graphics file saved as "wathen_spy.png"

WATHEN_TEST:
  Normal end of execution.

Thu Sep  4 22:53:11 2014