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A Numerical Study for Convergence of a Classic 3D Problem Solved by BEM

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Advanced Boundary Element Methods
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Abstract

The convergence problem of solution of 3D structural analysis by using BEM has not been mathematically well-proven. As an example, a numerical study for convergence computation of a classic 3D shell problem (a ring with circular cross-section under concentrated loading) solved by using BEM is presented. Some numerical analysis experience in 30 BEM with isoparametric element has also been summarized in this paper. By way of a great number of numerical examples, the generation of meshes, singular integration, traction discontinuity, concentrated loading and so on are given. An interesting numerical comparison of the BEM solution to that of FEM is obtained to show that the BEM is better than the FEM for this kind of problem.

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References

  1. C. A. Brebbia, J. Telles and L. Wrobel, “Boundary Element Methods - Theory and Application in Engineering,” Springer-Verlag, New York, 1984.

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© 1988 Springer-Verlag Berlin Heidelberg

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Han, GM., Li, HB. (1988). A Numerical Study for Convergence of a Classic 3D Problem Solved by BEM. In: Cruse, T.A. (eds) Advanced Boundary Element Methods. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83003-7_16

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  • DOI: https://doi.org/10.1007/978-3-642-83003-7_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83005-1

  • Online ISBN: 978-3-642-83003-7

  • eBook Packages: Springer Book Archive

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