In many medical and technical applications, numerical simulations need to be performed for objects with interfaces of geometrically complex shape. We focus on the biomechanical problem of elasticity simulations for trabecular ...

This thesis is concerned with multilevel methods for the efficient solution of partial differential equations in the field of scientific computing. Further, emphasis is put on an extensive study of the information transfer ...

This thesis deals with the application and the analysis of different variants of the Mumford-Shah model in the context of image processing. In this kind of models, a given function is approximated in a piecewise smooth or ...

Zur Untersuchung der Knochenumbauvorgänge sind neben klinischen auch biomechanische Methoden, die den Hauptgegenstand der vorliegenden Arbeit bilden, von besonderer Bedeutung. Insbesondere numerische Simulationen der ...