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A General Algorithm for the Direct Numerical Evaluation of Element Integrals in the 2D Galerkin BEM

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IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method

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Abstract

This paper deals with a direct approach for the evaluation of singular element integrals arising from the discretization of hypersingular boundary integral equations (BIEs) in symmetric Galerkin form, for two-dimensional problems.

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References

  1. Andrä, H., Schnack, E. Integration of singular Galerkin-type boundary element integrals for 3D elasticity problems. Numerische Mathematik, 76, 143–165 (1997).

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  5. Guiggiani, M., Krishnasamy, G., Rudolphi, T. J., Rizzo, F. J. A general algorithm for the numerical solution of hypersingular boundary integral equations. ASME J. Appl. Mech., 59, 604–614 (1992).

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Author information

Authors and Affiliations

  1. Laboratoire de Mécanique des Solides (CNRS UMR 7649), Ecole Polytechnique, France

    Marc Bonnet

  2. Dipartimento di Matematica, Università di Siena, Via del Capitano 15, 53100, Siena, Italy

    Massimo Guiggiani

Authors
  1. Marc Bonnet
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  2. Massimo Guiggiani
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Editor information

Editors and Affiliations

  1. Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Gliwice, Poland

    Tadeusz Burczynski

  2. Institute of Computer Modelling, Cracow University of Technology, Cracow, Poland

    Tadeusz Burczynski

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© 2001 Springer Science+Business Media Dordrecht

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Bonnet, M., Guiggiani, M. (2001). A General Algorithm for the Direct Numerical Evaluation of Element Integrals in the 2D Galerkin BEM. In: Burczynski, T. (eds) IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9793-7_2

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  • DOI: https://doi.org/10.1007/978-94-015-9793-7_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5737-2

  • Online ISBN: 978-94-015-9793-7

  • eBook Packages: Springer Book Archive

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