Adaptive Structural Analysis Using the Boundary Element Method

  • Y. Ezawa
  • Y. Yoshimura
  • N. Okamoto
  • H. Kobayashi
Conference paper

Abstract

In the adaptive analysis the way that discretization errors are estimated and meshes are refined is important. If we overstress the accuracy of error estimation, the time of calculations becomes long. Many researchers have proposed methods for error estimation, and the methods proposed by Kelly et al.[1] and by Rencis et al.[2] are important. Another important method proposed is the one that uses the variation of the answer by changing the position of nodes[3][4]. This method is practicable in the boundary element method using quadratic boundary elements, but is not useful for linear boundary elements. We therefore applied the method of Kelly et al. to BEM using linear boundary elements. The algorithm described in this paper is simple and fast in computing error estimates and mesh refinements.

Keywords

Kelly 

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References

  1. [1]
    D. W. Kelly, J. P. DE S. R. Gago and O. C. Zienkiewicz, Int. J. Num. Meth. Eng., Vol. 19 (1983), pp. 1593–1619.MathSciNetMATHCrossRefGoogle Scholar
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    J. J. Rencis, T. J. Urekew, K. Y. Jong, R. Kirk and P. Federico, Compt. Struct., Vol. 37, No. 1(1990), pp.103–117.MATHCrossRefGoogle Scholar
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    M. Guiggiani, “Boundary Element Techniques: Applications in Engineering,” ed. C. A. Brrebbia, Com. Mech. Pub. (1989), pp. 323–340.Google Scholar
  4. [4]
    R. Yuuki, G. Q. Cao and S. Ueda, Transactions of the Japan Society of Mechanical Engineers (Part A), Vol. 57, No. 533(1991), pp. 202–208 (in Japanese).Google Scholar
  5. [5]
    R. Yuuki and M. Tamaoki, Report RC-98, Japan Society of Mechanical Engineers, (1992), pp. 175–191 (in Japanese).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Y. Ezawa
    • 1
  • Y. Yoshimura
    • 1
  • N. Okamoto
    • 1
  • H. Kobayashi
    • 1
  1. 1.Mechanical Engineering Research LaboratoryHitachi, Ltd.Japan

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