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