Adaptive Integration Technique For Nearly
Singular Integrals In Near-field Acoustics
Boundary Element Analysis
Author(s)
Shen Qu, Hao-Ran Chen, Rui-Xiang Bai & Sheng Li
Abstract
The aim of this paper is to present an efficient adaptive integration technique to
perform near-field acoustics boundary element analysis, in which nearly singular
integrals will be encountered as the source point in integral equations is close to
the boundary of the acoustic domain. At this time the integrand varies sharply, so
the conventional Gaussian quadrature becomes inefficient or even inaccurate. In
this paper, an adaptive integration technique is proposed, which determines
required Gauss orders and the number of sub-elements according to the specified
integration accuracy and the relative position from the source point in integral
equations to the element under integration. Two numerical examples have been
presented to demonstrate the efficiency and accuracy of the proposed approach.
Keywords: nearly singular integrals, boundary element method, adaptive
integration, subdivision technique.
Keywords
nearly singular integrals, boundary element method, adaptive
integration, subdivision technique
Related Book
Other papers in this volume
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