In this thesis, we develop, discuss and implement algorithms for scalable parallel tree-based adaptive mesh refinement (AMR) using space-filling curves (SFCs). We create an AMR software that works independently of the used ...

In this thesis we study the numerical simulation of ion migration and its coupled thermal effects. Many of the existing mathematical models in this area of research implicitly rely on thermal equilibrium conditions, despite ...

Partial differential equations (PDE) arise from the modeling of a wide range of physical problems and knowing how to solve them is of large interest in many industrial undertakings. One numerical method to solve PDE is the ...

We develop and analyze a numerical two-scale optimization scheme for structural shape optimization. Whenever cost functionals, such as the elastic energy, are subject to minimization, while meeting a constraint on the ...