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Finite Element Course at AIMS Rwanda

The Firedrake Team will be delivering a finite element course, with practical examples in Firedrake (of course!) at the African Institute for Mathematical Sciences Rwanda from 8 to 12 April 2025.

Course programme

The course will draw heavily on the materials for a finite element course taught at Imperial College London and the Firedrake manual.

The materials most relevant for each section are linked below, but further reading is available on the links above.

  Tuesday Wednesday Thursday Friday Saturday
Early AM Function spaces and inner products The Ciarlet finite element Nonlinear problems Devito: inverse tomography Software for adjoints: differentiable programming
Late AM Our first finite element problem Firedrake practical 3: vector-valued problems Firedrake practical 5: The Burgers equation Adjoints part 1: derivation Adjoint practical 2: the tape
Early PM Firedrake practical 1: Helmholtz Equation Systems with more than one variable An introduction to solvers and preconditioners Devito: inverse tomography Deep learning introduction, practical
Late PM Firedrake practical 2: Dirichlet boundary conditions Firedrake practical 4: mixed Poisson Firedrake practical 6: solvers Adjoint practical 1: Burgers again Scientific machine learning, practical

Course lecturers

  • David Ham, Department of Mathematics, Imperial College London
  • Nicolas Boullé, Department of Mathematics, Imperial College London
  • Jack Betteridge, Devito Codes and Department of Mathematics, Imperial College London