Fast and Accurate Finite Element Multigrid Solvers for PDE Simulations on GPU Clusters

[Homer] D’oh, I need to dedicate this to someone.[/Homer] vAcknowledgements It is impossible to acknowledge everyone who directly or indirectly contributed to the realisation of this thesis. I apologise to all those not mentioned by name: Your help and support is really appreciated. In particular, I would like to express my sincere gratitude to the following people: Professors Stefan Turek and Heinrich Müller guided my scientific career from the first contact to Numerical Mathematics and Computer Graphics as an undergraduate student to the strongly interdisciplinary field of scientific computing in which I finally settled with this thesis. I am deeply indebted to them for giving me the opportunity to work in the friendly atmosphere at the Institute of Applied Mathematics and the Chair of Computer Graphics at TU Dortmund. I want to thank them for their ideas, fruitful discussions and encouraging criticisms, their belief in my work when I got lost, and last but not least for taking the risk and having the vision to support this endeavour into an emerging research area that at the beginning no one really expected to have such a big impact. I am very grateful to my fellow PhD students and friends in the FEAST group, Christia