Titlebook: Numerical Techniques for Boundary Element Methods; Proceedings of the S Wolfgang Hackbusch Conference proceedings 1992 Springer Fachmedien

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On the Existence and Evaluation of the Derivatives of the Single Layer Potential,rivatives are expressed by singular integrals, the regularisation of these integrals, including its calculation, is necessary. This problem is considered in this paper in the case of a two dimensional surface in ℝ..

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The triangle-to-square transformation for finite-part integrals,ite-part integrals arising in the context of 3D-BEM. Under certain symmetry hypotheses we show that the numerical computation of these integrals can be performed by using a tensor product of a one-dimensional finite-part integration formula and a one-dimensional formula for smooth integrands..Numerical examples are presented.

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978-3-528-07633-7Springer Fachmedien Wiesbaden 1992

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A Panel Method Using Numerical Integration,Panel methods are used to determine the singularity distribution (sources in most cases) on a body surfaces so that the Neumann condition — no flow across the body boundary —.is fulfilled on the body surface ..

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Computation of Plane Stress Fields by the Covering Domain Method,ational fractional functions for conformal mapping. Beyond an introductory example in order to explain the method of covering domains, applications are dealt with for a plate with an elliptic hole and a rectangular plate with a lip crack.