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/42TestingPoints/SinglePhysics/LinearProblems/StaticProblems/Laplace/2D/QUAD/linear/LEVEL_2/expected_results/AnalyticLaplaceLinearLagrange.opanal

http://github.com/xyan075/examples
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 1Analytic error analysis:
 2
 3Field 2 : Dependent Field
 4
 5Variable 1 : Phi
 6
 7Component 1 : Phi
 8
 9Nodal errors:
10     Node#  Deriv#     Numerical      Analytic       % error  Absolute err  Relative err
11         1       1   0.13541E-10   0.13541E-10   0.00000E+00   0.00000E+00   0.00000E+00
12         2       1   0.21114E+01   0.21114E+01   0.00000E+00   0.00000E+00   0.00000E+00
13         3       1   0.22816E+01   0.22816E+01   0.00000E+00   0.00000E+00   0.00000E+00
14         4       1   0.62999E-11   0.62999E-11   0.00000E+00   0.00000E+00   0.00000E+00
15         5       1   0.92113E+00   0.98231E+00   0.62289E+01   0.61188E-01   0.30867E-01
16         6       1   0.10615E+01   0.10615E+01   0.00000E+00   0.00000E+00   0.00000E+00
17         7       1   0.59014E-11   0.59014E-11   0.00000E+00   0.00000E+00   0.00000E+00
18         8       1   0.92017E+00   0.92017E+00   0.00000E+00   0.00000E+00   0.00000E+00
19         9       1   0.99434E+00   0.99434E+00   0.00000E+00   0.00000E+00   0.00000E+00
20
21RMS errors:
22            Deriv#                                   % error  Absolute err  Relative err
23                 1                               0.20763E+01   0.20396E-01   0.10289E-01
24
25Integral errors:
26Component#             Numerical      Analytic       % error  Absolute err  Relative err
27         1  Intg     0.37866E+01   0.38478E+01   0.15902E+01   0.61188E-01   0.12622E-01
28            Intg^2   0.47021E+01   0.48207E+01   0.24593E+01   0.11855E+00   0.20368E-01
29Component#             Numerical      Analytic           NID        NID(%)
30         1  Diff     0.61188E-01   0.38478E+01   0.98410E+00   0.98410E+02
31            Diff^2   0.16640E-02   0.48207E+01   0.99965E+00   0.99965E+02
32
33
34Variable 2 : del Phi/del n
35
36Component 1 : del Phi/del n
37
38Nodal errors:
39     Node#  Deriv#     Numerical      Analytic       % error  Absolute err  Relative err
40         1       1  -0.73217E+00   0.00000E+00   0.00000E+00   0.73217E+00   0.73217E+00
41         2       1   0.17741E+01   0.00000E+00   0.00000E+00   0.17741E+01  -0.17741E+01
42         3       1   0.64707E+00   0.00000E+00   0.00000E+00   0.64707E+00  -0.64707E+00
43         4       1   0.18310E+01   0.00000E+00   0.00000E+00   0.18310E+01  -0.18310E+01
44         5       1   0.61062E-15   0.00000E+00   0.00000E+00   0.61062E-15  -0.61062E-15
45         6       1  -0.15964E+01   0.00000E+00   0.00000E+00   0.15964E+01   0.15964E+01
46         7       1   0.81726E+00   0.00000E+00   0.00000E+00   0.81726E+00  -0.81726E+00
47         8       1  -0.41308E+00   0.00000E+00   0.00000E+00   0.41308E+00   0.41308E+00
48         9       1  -0.73217E+00   0.00000E+00   0.00000E+00   0.73217E+00   0.73217E+00
49
50RMS errors:
51            Deriv#                                   % error  Absolute err  Relative err
52                 1                               0.00000E+00   0.11244E+01   0.11244E+01
53
54Integral errors:
55Component#             Numerical      Analytic       % error  Absolute err  Relative err
56         1  Intg     0.79778E+00   0.00000E+00   0.00000E+00   0.79778E+00  -0.79778E+00
57            Intg^2   0.23180E+01   0.00000E+00   0.00000E+00   0.23180E+01  -0.23180E+01
58Component#             Numerical      Analytic           NID        NID(%)
59         1  Diff    -0.79778E+00   0.00000E+00   0.79778E+00   0.79778E+02
60            Diff^2   0.23180E+01   0.00000E+00  -0.23180E+01  -0.23180E+03
61