Automating the Finite Element Method

In the first part, Hoffman and Logg will give an introduction to the techniques behind the FEniCS project. The vision of FEniCS is to set a new standard computational mathematics with respect to generality, efficiency, and simplicity concerning mathematical methodology, implementation, and application. The basic ingredients are:

• automation of discretization of differential/integral equations,
• automation of discrete solution,
• automation of error control,
• automation of modeling,
• automation of optimization.

Lecture notes and slides:

• Automating the finite element method, Anders Logg
• Lecture 0
• Lecture 1
• Lecture 2
• Lecture 3
• Lecture 4
• Lecture 5
• Lecture 6

Suggested reading:

• DOLFIN user manual, Hoffman, Jansson, Logg, Wells
• FFC user manual, Anders Logg
• see www.fenics.org

Turbulent Flow Simulation

In the second part, Hoffman will introduce a nonstandard approach to turbulence modelling based upon adaptivity and discretization by stabilized Galerkin finite element methods.

• Computational turbulent incompressible flow, Applied Mathematics: Body & Soul Vol 4, Johan Hoffman and Claes Johnson. To appear on Springer Verlag.