25-Mar-2019 19:30:12

fem2d_bvp_linear_test
  MATLAB version
  Test fem2d_bvp_linear.

FEM2D_BVP_LINEAR_TEST01
  Solve - del ( A del U ) + C U = F 
  on the unit square with zero boundary conditions.
  A1(X,Y) = 1.0
  C1(X,Y) = 0.0
  F1(X,Y) = 2*X*(1-X)+2*Y*(1-Y).
  U1(X,Y) = X * ( 1 - X ) * Y * ( 1 - Y )

  The grid uses 3 by 3 nodes.

     I     J    X         Y         U         Uexact    Error

     1     1  0.000000  0.000000  0.000000  0.000000  0.000000e+00
     2     1  0.500000  0.000000  0.000000  0.000000  0.000000e+00
     3     1  1.000000  0.000000  0.000000  0.000000  0.000000e+00
     1     2  0.000000  0.500000  0.000000  0.000000  0.000000e+00
     2     2  0.500000  0.500000  0.078125  0.062500  1.562500e-02
     3     2  1.000000  0.500000  0.000000  0.000000  0.000000e+00
     1     3  0.000000  1.000000  0.000000  0.000000  0.000000e+00
     2     3  0.500000  1.000000  0.000000  0.000000  0.000000e+00
     3     3  1.000000  1.000000  0.000000  0.000000  0.000000e+00

  l1 error   = 0.00173611
  L2 error   = 0.00968806
  H1S error  = 0.0771115

fem2d_bvp_linear_test
  Normal end of execution.

25-Mar-2019 19:30:12