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A Parallel Software-Platform for Solving Problems of Partial Differential Equations using Unstructured Grids and Adaptive Multigrid Methods

In: High Performance Computing in Science and Engineering ’98

Author

Listed:
  • Peter Bastian

    (Universität Stuttgart, Institut für Computeranwendungen III)

  • Klaus Birken

    (Universität Stuttgart, Institut für Computeranwendungen III)

  • Klaus Johannsen

    (Universität Stuttgart, Institut für Computeranwendungen III)

  • Stefan Lang

    (Universität Stuttgart, Institut für Computeranwendungen III)

  • Volker Reichenberger

    (Universität Stuttgart, Institut für Computeranwendungen III)

  • Christian Wieners

    (Universität Stuttgart, Institut für Computeranwendungen III)

  • Gabriel Wittum

    (Universität Stuttgart, Institut für Computeranwendungen III)

  • Christian Wrobel

    (Universität Stuttgart, Institut für Computeranwendungen III)

Abstract

The goal of this work is the development of a parallel software-platform for solving partial differential equation problems. State-of-the-art numerical methods have been developed and implemented for the efficient and comfortable solution of real-world application problems. Emphasis is laid on the following topics: distributed unstructured grids, adaptive grid refinement, derefinement/coarsening, robust parallel multigrid methods, various FE and FV discretizations, dynamic load balancing, mapping and grid partitioning. Some important application examples will be presented including structural mechanics, two-phase flow in porous media, Navier-Stokes problems (CFD) and density-driven groundwater flow.

Suggested Citation

  • Peter Bastian & Klaus Birken & Klaus Johannsen & Stefan Lang & Volker Reichenberger & Christian Wieners & Gabriel Wittum & Christian Wrobel, 1999. "A Parallel Software-Platform for Solving Problems of Partial Differential Equations using Unstructured Grids and Adaptive Multigrid Methods," Springer Books, in: Egon Krause & Willi Jäger (ed.), High Performance Computing in Science and Engineering ’98, pages 326-339, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-58600-2_31
    DOI: 10.1007/978-3-642-58600-2_31
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