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Optimal data structures for an efficient vectorized finite element code

  • Efficient Use Of Vector Processors
  • Conference paper
  • First Online:
CONPAR 90 — VAPP IV (VAPP 1990, CONPAR 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 457))

Abstract

An efficient computation of large finite element method (FEM) problems using a vector computer requires a data structure being fundamentally different from that of existing commercial FEM- programs, which were designed for scalar computers. The FEM kernel is divided into three steps: computing element matrices, mounting the global system and solving the linear system of equations. We point out the optimal vectorizable data structures for the first and third FEM-step. So the mounting of the global system is a conversion between these two data structures. We present a fully vectorizable algorithm doing this conversion.

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References

  1. Schönauer W., Scientific Computing on Vector Computers, North Holland, Amsterdam, New York, Oxford, 1987.

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  2. Schwarz H.R., Methode der finiten Elemente, Teubner, Stuttgart, 1984.

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  3. Sternecker P., Schönauer W., VECFEM: A Finite Element Kernel Program with Optimal Data Structures for Vector Computers, Interner Bericht 34/88 des Rechenzentrums der Universität Karlsruhe, 1988.

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  4. Zienkiewicz O.C.: The Finite Element Method in Engineering Science, 2nd Ed., Mc Graw Hill, London, 1971.

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  5. Groß L., Sternecker P., Schönauer W., The VECFEM Program Package, Interner Bericht des Rechenzentrums der Universität Karlsruhe, in preparation.

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Author information

Authors and Affiliations

  1. Computer Center of the University of Karlsruhe, Postfach 6980, D-7500, Karlsruhe 1, FRG

    L. Gross, P. Sternecker & W. Schönauer

Authors
  1. L. Gross
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  2. P. Sternecker
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  3. W. Schönauer
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Editor information

Helmar Burkhart

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© 1990 Springer-Verlag Berlin Heidelberg

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Gross, L., Sternecker, P., Schönauer, W. (1990). Optimal data structures for an efficient vectorized finite element code. In: Burkhart, H. (eds) CONPAR 90 — VAPP IV. VAPP CONPAR 1990 1990. Lecture Notes in Computer Science, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53065-7_122

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  • DOI: https://doi.org/10.1007/3-540-53065-7_122

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53065-7

  • Online ISBN: 978-3-540-46597-3

  • eBook Packages: Springer Book Archive

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