tmp commit - toward 0.0.1

problems/poisson_2.py

@@ -0,0 +1,43 @@
+import numpy as np
+import torch
+from pina.segment import Segment
+from pina.cube import Cube
+from pina.problem2d import Problem2D
+from pina.problem import Problem
+
+
+class Poisson2DProblem(Problem2D):
+
+    def __init__(self):
+
+        def laplace_equation(input_, output_):
+            grad_u = self.grad(output_['u'], input_)
+            gradgrad_u_x = self.grad(grad_u['x'], input_)
+            gradgrad_u_y = self.grad(grad_u['y'], input_)
+            #force_term = (torch.sin(input_['x']*torch.pi)
+            #             * torch.sin(input_['y']*torch.pi))
+            force_term = -2*(input_['y']*(1-input_['y']) +
+                             input_['x']*(1-input_['x']))
+            return gradgrad_u_x['x'] + gradgrad_u_y['y'] - force_term
+
+        def nil_dirichlet(input_, output_):
+            value = 0.0
+            return output_['u'] - value
+
+        self.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(x, y):
+            return x*(1-x)*y*(1-y)
+
+        self.input_variables = ['x', 'y']
+        self.output_variables = ['u']
+        self.truth_solution = poisson_sol
+        self.spatial_domain = Cube([[0, 1], [0, 1]])
+
+        #self.check() # Check the problem is correctly set