Numerical Investigation On Three Treatments
For Eliminating The Singularities Of Acoustic
Fundamental Solutions In The Singular
Boundary Method
Author(s)
Zhuo-Jia Fu, Wen Chen & Wenzhen Qu
Abstract
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.
Keywords
boundary collocation, singular boundary method, source intensity
factors, singularity, acoustic fundamental solution
Related Book
Other papers in this volume
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