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

Download or read book Fast and Accurate Finite-Element Multigrid Solvers for PDE Simulations on GPU Clusters written by Dominik Göddeke and published by Logos Verlag Berlin GmbH. This book was released on 2011 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation demonstrates that graphics processors (GPUs) as representatives of emerging many-core architectures are very well-suited for the fast and accurate solution of large, sparse linear systems of equations, using parallel multigrid methods on heterogeneous compute clusters. Such systems arise for instance in the discretisation of (elliptic) partial differential equations with finite elements. Fine-granular parallelisation techniques and methods to ensure accuracy are developed that enable at least one order of magnitude speedup over highly-tuned conventional CPU implementations, without sacrificing neither accuracy nor functionality.