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Abstract

Abstract A numerical study of Laplace equation solution by the direct BEM in 2D is presented. The following three basic systems of BIEs: the conventional BIE of potential, the first kind symmetric BIE system and the second kind BIE system, are compared. Error behaviour along the boundary and error convergence in L2 and maximum norms for h-refinements of BEM meshes are studied and discussed.

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Vodička, R., Mantič, V. (2001). A Comparative Study of Three Systems of Boundary Integral Equations in the Potential Theory. 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_32

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  • DOI: https://doi.org/10.1007/978-94-015-9793-7_32

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5737-2

  • Online ISBN: 978-94-015-9793-7

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