Verständnis der grundlegenden reinen und numerischen Analysis von Grenzflächen- und Kontaktproblemen, insbesondere Wohlgestelltheit und Fehleranalysis von Galerkinmethoden.
Kenntnisse relevanter Aspekte aus der Funktionalanalysis von Variationsungleichungen, finiter und Randelementmethoden sowie numerische Löser.
- 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
Die Vorlesung wird von Prof. Heiko Gimperlein, Heriot-Watt University, Edinburgh, abgehalten
Partielle Differentialgleichungen, Funktionalanalysis, Numerische Analysis von Differentialgleichungen (Finite Elemente)
