- Numerical Schemes: Finite Element Methods (FEM), Finite Volume Methods (FVM), Boundary Element Methods (BEM), Discontinuous Galerkin Methods (DGM), Coupling
- A priori and (robust) a posteriori error analysis
- Adaptivity, mesh refinement strategies, optimal convergence
- Numerical methods for climate modeling
- Numerical algorithms for super computers
More information (e.g., list of publications) can be found at the personal Home page.