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A Geometric Preprocessor for an h-Refinement Technique for the Boundary Element Method

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Abstract

A previously developed self-adaptive h-refinement technique is coupled with a geometric preprocessing method for two-dimensional domains. The previously developed adaptive method has been observed to deteriorate when the aspect ratio of the domain becomes large. This deterioration in the accuracy of the boundary element method has also been observed in non-adaptive solutions when the aspect ratio of the domain is large. By automatically dividing the domain into regions before applying the self-adaptive method, the robustness of the self-adaptive h-technique is improved. Two example problems comparing the self-adaptive method with and without geometric preprocessing are presented utilizing quadratic discontinuous boundary elements in two-dimensional elasticity applications.

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© 1988 Springer-Verlag Berlin Heidelberg

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Rencis, J.J., Mullen, R.L. (1988). A Geometric Preprocessor for an h-Refinement Technique for the Boundary Element Method. 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_36

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  • DOI: https://doi.org/10.1007/978-3-642-83003-7_36

  • 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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