17 June 2025 11:15:30 AM

helmholtz_exact_test():
  C version
  Test helmholtz_exact().

  Helmholtz exact solution with
  m = 1, n = 2

  k   X(k)  Y(k)  Z(k)

   0           0           0           0
   1        0.75           0      3.6405
   2     1.06066           0     3.51926
   3     1.29904           0     1.87913
   4         1.5           0  -7.96709e-16
   5    0.231763    0.713292    -1.34035
   6    0.327762     1.00875    -1.29572
   7    0.401425     1.23546   -0.691853
   8    0.463525     1.42658  -7.33327e-16
   9   -0.606763    0.440839    -1.47176
  10   -0.858092     0.62344    -1.42275
  11    -1.05094    0.763555   -0.759684
  12    -1.21353    0.881678  -8.05225e-16
  13   -0.606763   -0.440839     3.72172
  14   -0.858092    -0.62344     3.59778
  15    -1.05094   -0.763555     1.92105
  16    -1.21353   -0.881678  -2.85069e-15
  17    0.231763   -0.713292     -4.5501
  18    0.327762    -1.00875    -4.39857
  19    0.401425    -1.23546    -2.34864
  20    0.463525    -1.42658  9.95772e-16

  Helmholtz exact solution with
  m = 2, n = 3

  k   X(k)  Y(k)  Z(k)

   0           0           0           0
   1        0.75           0     3.07182
   2     1.06066           0     -1.1543
   3     1.29904           0      -2.142
   4         1.5           0  3.34225e-16
   5    0.231763    0.713292    -3.83934
   6    0.327762     1.00875     1.44271
   7    0.401425     1.23546     2.67719
   8    0.463525     1.42658  3.7596e-15
   9   -0.606763    0.440839     3.14035
  10   -0.858092     0.62344    -1.18005
  11    -1.05094    0.763555    -2.18979
  12    -1.21353    0.881678  -3.07514e-15
  13   -0.606763   -0.440839    -1.24186
  14   -0.858092    -0.62344    0.466655
  15    -1.05094   -0.763555    0.865958
  16    -1.21353   -0.881678  -1.21607e-15
  17    0.231763   -0.713292    -1.13098
  18    0.327762    -1.00875    0.424988
  19    0.401425    -1.23546    0.788638
  20    0.463525    -1.42658  -1.23054e-16

helmholtz_exact_test():
  Normal end of execution.

17 June 2025 11:15:30 AM