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

By (author) Dominik Goddeke

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

Extent: 299 pages

Publisher: Logos Verlag Berlin

Subjects: Technical Sciences: Computer Science, Engineering, IT, & Math

Language: English

Paperback (Published)

(February 2011)

ISBN: 9783832527686

5.71 x 8.27 inches

Price: $60.00

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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.

  • By (author) Dominik Goddeke

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