FEniCS Course - FEniCS Project

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Step by step: defining variational problemsVariational problems are defined in terms of trial and testfunctions:u =v =TrialFunction (V)TestFunction (V)We now have all the objects we need in order to specify thebilinear form a(u, v) and the linear form L(v):a = inner ( grad (u), grad (v))*dxL = f*v*dx18 / 22
Step by step: solving variational problemsOnce a variational problem has been defined, it may be solvedby calling the solve function:u = Function (V)solve (a == L, u,bc)Note the reuse of the variable u as both a TrialFunction inthe variational problem and a Function to store the solution19 / 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 and 16: Step by step: defining a boundary c
Page 17: Step by step: defining the right-ha
Page 21 and 22: Python/FEniCS programming 1011 Open

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