Numerical Investigation On Three Treatments For Eliminating The Singularities Of Acoustic Fundamental Solutions In The Singular Boundary Method
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Zhuo-Jia Fu, Wen Chen & Wenzhen Qu
This study considers the numerical comparison on three treatments for eliminating the singularities of acoustic fundamental solutions in singular boundary method (SBM). The singular boundary method is a recent meshless boundary collocation method, which introduces the concept of source intensity factors to eliminate the singularity of the fundamental solutions. Recently, three treatments, the inverse interpolation technique (IIT), the semi-analytical technique with boundary IIT (SAT1) and the semi-analytical technique with integral mean value (SAT2), have been proposed to determine the source intensity factors for removing the singularities of acoustic fundamental solutions at origin. This study compares numerical efficiency and stability of these three approaches on two benchmark examples under two-dimensional exterior acoustic problems. Keywords: boundary collocation, singular boundary method, source intensity factors, singularity, acoustic fundamental solution.
boundary collocation, singular boundary method, source intensity factors, singularity, acoustic fundamental solution