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

In: High Performance Computing in Science and Engineering ’99

Author

Listed:
  • 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)

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.

Suggested Citation

  • Peter Bastian & Klaus Birken & Klaus Johannsen & Stefan Lang & Volker Reichenberger & Christian Wieners & Gabriel Wittum & Christian Wrobel, 2000. "Parallel solution of Partial Differential Equations with Adaptive Multigrid Methods on Unstructured Grids," Springer Books, in: Egon Krause & Willi Jäger (ed.), High Performance Computing in Science and Engineering ’99, pages 496-508, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59686-5_48
    DOI: 10.1007/978-3-642-59686-5_48
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