Author(s)

Shaohai Chen & Yijun Liu

Abstract

Applications of a new and efficient composite BIE formulation for 3-D acoustic problems are studied in this paper, based on an improved weakly-singular form of the hypersingular boundary integral equation (HBIE). This new form of the HBIE involves only tangential derivatives of the density function and thus its discretization using the boundary element method (BEM) is easier to perform. C° continuous (conforming) quadratic elements are employed in the discretization of this weakly-singular form of the HBIE, as compared with using nonconforming and/or C* continuous boundary elements which were advocated earlier. Numerical examples of both scattering and radiation problems with various geometries are presented in this paper to demonstrate the accuracy and versatility of this improved com

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