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Scientific Progress in the Par-EXPDE-Project

In: High Performance Computing in Science and Engineering, Munich 2002

Author

Listed:
  • Alexander Linke

    (Universität Würzburg, Institut für Angewandte Mathematik und Statistik)

  • Christoph Pflaum

    (Universität Würzburg, Institut für Angewandte Mathematik und Statistik)

  • Ben Bergen

    (Universität Erlangen-Nürnberg, Lehrstuhl für Systemsimulation)

Abstract

Here we present the scientific progress of the Par-EXPDE project, the primary goal of which is to provide an efficient library for the numerical computation of PDEs on the Hitachi SR8000. It is intended that this library will significantly reduce the implementation effort required by users for the development of parallel adaptive multigrid methods on arbitrary 3D-domains by providing them with a high level interface that closely resembles mathematical language. This high level user interface is accomplished through the use of a special programming technique called expression templates that effectively hides the complexity of the underlying data structures while still allowing for an efficient implementation of computationally intensive codes. The low level data structures themselves use a technique of patch-wise regular refinement of unstructured grid elements to allow for more aggressive compiler optimization and the use of stencil based smoothers that are better able to exploit the memory hierarchy and pseudo vectorization capabilities of the SR8000. Geometry and visualization capabilities are provided by the GRIDLIB project.

Suggested Citation

  • Alexander Linke & Christoph Pflaum & Ben Bergen, 2003. "Scientific Progress in the Par-EXPDE-Project," Springer Books, in: Siegfried Wagner & Arndt Bode & Werner Hanke & Franz Durst (ed.), High Performance Computing in Science and Engineering, Munich 2002, pages 483-492, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-55526-8_38
    DOI: 10.1007/978-3-642-55526-8_38
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