FEniCS Course - FEniCS Project

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Implementation in FEniCSfrom dolfin import *mesh = UnitSquareMesh (8, 8)V = FunctionSpace (mesh , " Lagrange ", 1)u0 = Expression ("1 + x[0]*x[0] + 2*x[1]*x[1]")bc = DirichletBC (V, u0 , " on_boundary ")f = Constant (-6.0)u = TrialFunction (V)v = TestFunction (V)a = inner ( grad (u), grad (v))*dxL = f*v*dxu = Function (V)solve (a == L, u,bc)plot (u)interactive ()10 / 22
Step by step: the first lineThe first line of a FEniCS program usually begins withfrom dolfin import *This imports key classes like UnitSquare, FunctionSpace,Function and so forth, from the FEniCS user interface(DOLFIN)11 / 22
Page 1 and 2: FEniCS CourseLecture 2: Static line
Page 3 and 4: The FEM cookbookAu = f(i)Partial di
Page 5 and 6: Deriving a variational problem for
Page 7 and 8: Discrete variational problem for Po
Page 9: A test problemWe construct a test p
Page 13 and 14: Step by step: creating a function s
Page 15 and 16: Step by step: defining a boundary c
Page 17 and 18: Step by step: defining the right-ha
Page 19 and 20: Step by step: solving variational p
Page 21 and 22: Python/FEniCS programming 1011 Open

FEniCS Course - FEniCS Project

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