Parallel Multigrid on Locally Refined Meshes

R. Becker, M. Braack and T. Richter
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R. Becker: Universite de Pau et des Pays de l’Adour, Laboratoire de Mathematiques Appliquees
M. Braack: Universität Heidelberg, Institut für Angewandte Mathematik
T. Richter: Universität Heidelberg, Institut für Angewandte Mathematik

A chapter in Reactive Flows, Diffusion and Transport, 2007, pp 77-92 from Springer

Abstract: Summary The use of PC-clusters gives the opportunity to solve three-dimensional flow problems to high accuracy at reasonable costs. The use of adaptive mesh refinement can increase the efficiency of such computations even more. However, the combination of multigrid, local mesh refinement and parallelization is not trivial. Therefore, this work addresses the following two topics in order to develope a tool for the simulation of complex flows: (i) multigrid algorithms on locally refined meshes, and (ii) the extension of multigrid to be used on parallel machines.

Keywords: Fine Mesh; Coarse Mesh; Refined Mesh; Virtual Node; Parallel Efficiency (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-28396-6_4

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DOI: 10.1007/978-3-540-28396-6_4

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