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Direct and Indirect Approach of a Desingularized Boundary Element Formulation for Acoustical Problems

S. Callsen1, O. von Estorff1, O. Zaleski2
Modelling and Computation, Hamburg University of Technology, Eissendorfer Str. 42, D-21073 Hamburg, Germany, email of the corresponding author, estorff@tu-harburg.de
Novicos GmbH, Kasernenstr. 12, D-21073 Hamburg

Computer Modeling in Engineering & Sciences 2004, 6(5), 421-430. https://doi.org/10.3970/cmes.2004.006.421

Abstract

In standard boundary element formulations, singular integrals need to be solved as soon as the considered sources coincide with the collocation points at the boundary. Using a desingularized boundary element approach, the sources are distributed on a surface outside the acoustic domain which means that they are never located at the boundary. Consequently, all the resulting kernels are nonsingular which reduces the complexity of the numerical treatment of the boundary integral equations considerably. In the current contribution a desingularized formulation is given for both, the direct and the indirect boundary element method used to solve acoustical problems. Three basic examples are shown which demonstrate how the new approach can be used and which accuracy can be expected.

Keywords

Desingularized Boundary Element Method, Singular Integral, Numerical Acoustics

Cite This Article

Callsen, S., Estorff, O. V., Zaleski, O. (2004). Direct and Indirect Approach of a Desingularized Boundary Element Formulation for Acoustical Problems. CMES-Computer Modeling in Engineering & Sciences, 6(5), 421–430.



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