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Parallel Multigrid on Locally Refined Meshes

In: Reactive Flows, Diffusion and Transport

Author

Listed:
  • 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)

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.

Suggested Citation

  • R. Becker & M. Braack & T. Richter, 2007. "Parallel Multigrid on Locally Refined Meshes," Springer Books, in: Willi Jäger & Rolf Rannacher & Jürgen Warnatz (ed.), Reactive Flows, Diffusion and Transport, pages 77-92, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-28396-6_4
    DOI: 10.1007/978-3-540-28396-6_4
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