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Parallel Finite Element Methods with Weighted Linear B-Splines

In: High Performance Computing in Science and Engineering `07

Author

Listed:
  • Klaus Höllig

    (University of Stuttgart, IMNG)

  • Jörg Hörner

    (University of Stuttgart, IMNG)

  • Martina Pfeil

    (University of Stuttgart, IMNG)

Abstract

Weighted extended B-splines (web-splines) combine the computational efficiency of B-splines and the geometric flexibility of standard finite elements on unstructured meshes. These new finite elements on uniform grids (cf. [5] and www.webspline. de) are ideally suited for vectorization, parallelization and multilevel techniques. In this project we explore the potential of the web-method for large scale applications with performance tests on the NEC SX-8 cluster of the HLRS. We implement a new minimal degree variant which uses predefined instruction sequences for matrix assembly and is almost as efficient as a difference scheme on rectangular domains.

Suggested Citation

  • Klaus Höllig & Jörg Hörner & Martina Pfeil, 2008. "Parallel Finite Element Methods with Weighted Linear B-Splines," Springer Books, in: Wolfgang E. Nagel & Dietmar Kröner & Michael Resch (ed.), High Performance Computing in Science and Engineering `07, pages 667-676, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-74739-0_43
    DOI: 10.1007/978-3-540-74739-0_43
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