Winter School 2006: Overview of Lectures

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.

Lecture notes:

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