Multi-component BEM for the Helmholtz equation: A normal derivative method

被引:2
|
作者
Ben Hamdin, H. A. M. [1 ]
Tanner, G. [1 ]
机构
[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England
基金
英国工程与自然科学研究理事会;
关键词
Multi-component boundary element method; hypersingular integral; Helmholtz equation; Green function; NUMERICAL EVALUATION; BOUNDARY;
D O I
10.3233/SAV-2012-0703
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
We describe a multi-component boundary element method for predicting wave energy distributions in a complex built-up system with material properties changing discontinuously at boundaries between sub-components. We point out that depending on the boundary conditions and the number of interfaces between sub-components, it may be advantageous to use a normal derivative method to set up the integral kernels. We describe how the resulting hypersingular integral kernels can be regularised. The method can be used to minimise the number of weakly singular integrals thus leading to BEM formulations which are easier to handle.
引用
收藏
页码:957 / 967
页数:11
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