Refactoring code

examples/problems/poisson2D.py

@@ -0,0 +1,35 @@
+import numpy as np
+import torch
+from pina.segment import Segment
+from pina.cube import Cube
+from pina.problem import Problem2D
+from pina.operators import grad, div, nabla
+
+
+class Poisson2D(Problem2D):
+
+    input_variables = ['x', 'y']
+    output_variables = ['u']
+    spatial_domain = Cube([[0, 1], [0, 1]])
+
+    def laplace_equation(input_, output_):
+        force_term = (torch.sin(input_['x']*torch.pi)
+                        * torch.sin(input_['y']*torch.pi))
+        return nabla(output_['u'], input_).flatten() - force_term
+
+    def nil_dirichlet(input_, output_):
+        value = 0.0
+        return output_['u'] - value
+
+    conditions = {
+        'gamma1': {'location': Segment((0, 0), (1, 0)), 'func': nil_dirichlet},
+        'gamma2': {'location': Segment((1, 0), (1, 1)), 'func': nil_dirichlet},
+        'gamma3': {'location': Segment((1, 1), (0, 1)), 'func': nil_dirichlet},
+        'gamma4': {'location': Segment((0, 1), (0, 0)), 'func': nil_dirichlet},
+        'D': {'location': Cube([[0, 1], [0, 1]]), 'func': laplace_equation}
+    }
+
+    def poisson_sol(self, x, y):
+        return -(np.sin(x*np.pi)*np.sin(y*np.pi))/(2*np.pi**2)
+
+    truth_solution = poisson_sol