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

ISBN-10: 3832527680
ISBN-13: 9783832527686
Category: Computers
Pages: 299
Language: English
Published: 2011
Publisher: Logos Verlag Berlin GmbH
Author: Dominik Göddeke

Description

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.

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