FEniCS Course - FEniCS Project

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Step by step: creating a meshNext, we create a mesh of our domain Ω:mesh = UnitSquare (8, 8)Defines a mesh of 8 × 8 × 2 = 128 triangles of the unit squareOther useful classes for creating meshes includeUnitIntervalMesh, UnitCubeMesh, UnitCircleMesh,UnitSphereMesh, RectangleMesh and BoxMeshComplex geometries can be built using Constructive Solid Geometry(CSG) which is built into <strong>FEniCS</strong> (operators +, -, *):r = Rectangle (0.5, 0.5, 1.5, 1.5)c = Circle (1, 1, 1)...g = (r - c)*b + amesh = Mesh (g)12 / 22
Step by step: creating a function spaceThe following line creates a function space on Ω:V = FunctionSpace (mesh , " Lagrange ", 1)The second argument specifies the type of element, while thethird argument is the degree of the basis functions on theelementOther types of elements include "Discontinuous Lagrange","Brezzi-Douglas-Marini", "Raviart-Thomas","Crouzeix-Raviart", "Nedelec 1st kind H(curl)" and"Nedelec 2nd kind H(curl)"13 / 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 and 10: A test problemWe construct a test p
Page 11: Step by step: the first lineThe fir
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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