FEniCS Course - FEniCS Project

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Step by step: more about defining domainsFor a Dirichlet boundary condition, a simple domain can be definedby a string" on_boundary " # The entire boundaryAlternatively, domains can be defined by subclassing SubDomainclass Boundary ( SubDomain ):def inside (self , x, on_boundary ):return on_boundaryYou may want to experiment with the definition of the boundary:" near (x[0], 0.0)" # x_0 = 0" near (x[0], 0.0) || near (x[1], 1.0)"There are many more possibilities, seehelp ( SubDomain )help ( DirichletBC )16 / 22
Step by step: defining the right-hand sideThe right-hand side f = −6 may be defined as follows:f = Expression ("-6")or (more efficiently) asf = Constant (-6.0)17 / 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 and 12: Step by step: the first lineThe fir
Page 13 and 14: Step by step: creating a function s
Page 15: Step by step: defining a boundary c
Page 19 and 20: Step by step: solving variational p
Page 21 and 22: Python/FEniCS programming 1011 Open

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