Understanding of the basic pure and numeric analysis of interfacial and contact problems,especially well-posedness and error analysis of Galerkin methods.
Knowledge of relevant aspects of functional analysis of variational inequalities, finite and boundary element methods as well as numeric solvers.
- Modelling of interface problems between materials: interface conditions and friction laws
- Obstacle problems, friction and contact: (free) time-independent boundary problems as constrained on nonsmooth variational problems, solution using Uzawa and semismooth Newton methods
- Nonlinear analysis of variational inequalities: functional analytic background, classical theorem on wellposedness and abstract approximation, regularity of solutions
- Approximation by finite and boundary elements - from basics to current research: BEM for dummies, variational inequalities and penalty formulations, error analysis, adaptivity, advanced approximation methods, maybe coupling of FEM and BEM
- Towards time-dependent dynamic contact problems
