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Parallel solution of Partial Differential Equations with Adaptive Multigrid Methods on Unstructured Grids

Peter Bastian, Klaus Birken, Klaus Johannsen, Stefan Lang, Volker Reichenberger, Christian Wieners, Gabriel Wittum and Christian Wrobel
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Peter Bastian: Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen
Klaus Birken: Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen
Klaus Johannsen: Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen
Stefan Lang: Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen
Volker Reichenberger: Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen
Christian Wieners: Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen
Gabriel Wittum: Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen
Christian Wrobel: Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen

A chapter in High Performance Computing in Science and Engineering ’99, 2000, pp 496-508 from Springer

Abstract: Abstract We present new parallel results for the solution of partial differential equations based on the software platform UG. State-of-the-art numerical methods have been developed and implemented for the efficient and comfortable solution of real-world problems. UG supports distributed unstructured grids, adaptive grid refinement, derefinement/coarsening, robust parallel multigrid methods, various discretizations, dynamic load balancing, mapping and grid partitioning. Here, we give examples for a parallel algebraic multigrid method, for elasto-plastic computations, and for simulations of two-phase flow in porous media.

Keywords: Porous Medium; Coarse Grid; Multigrid Method; Unstructured Grid; Unstructured Mesh (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59686-5_48

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DOI: 10.1007/978-3-642-59686-5_48

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