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On Adaptivity in Boundary Element Methods

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Abstract

In this contribution we consider different global and local a posteriori error estimates for boundary integral equations arising in direct and indirect boundary element methods for regular boundary value problems of formally positive elliptic partial differential equations. Based on local error indicators, we design an adaptive mesh refinement strategy to improve the boundary element approximation.

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Schulz, H.R., Steinbach, O., Wendland, W.L. (2001). On Adaptivity in Boundary Element Methods. 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_27

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  • DOI: https://doi.org/10.1007/978-94-015-9793-7_27

  • 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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