Title

Solving Inhomogeneous Problems by Singular Boundary Method

DOI

10.6119/JMST-011-0704-1

Authors

Xing Wei;Wen Chen;Zhuo-Jia Fu

Key Words

singular boundary method ; inhomogeneous equation,noisy boundary ; meshless method.

PublicationName

Journal of Marine Science and Technology

Volume or Term/Year and Month of Publication

21卷1期(2013 / 02 / 01)

Page #

8 - 14

Content Language

英文

English Abstract

This study makes the first attempt to extend the singular boundary method (SBM) to inhomogeneous problems in conjunction with the dual reciprocity method (DRM). The SBM is a new boundary-type meshless method and utilizes the fundamental solution to calculate the homogeneous solution of the governing equation of interest, where the inverse interpolation technique is designed to evaluate the origin intensity factor while overcoming the singularity of the fundamental solution at the origin. In this study, the DRM is employed to evaluate the particular solution of Poisson equation with multiquadratic functions. The efficiency and accuracy of the proposed SBM-DRM scheme are tested to the three benchmark inhomogeneous Poisson problems. We also demonstrate the stability of the SBM-DRM scheme in dealing with noisy boundary data.

Topic Category 基礎與應用科學 > 海洋科學
工程學 > 市政與環境工程
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Times Cited
  1. 賴穎暄(2013)。以受束制之移動最小二乘法求解柏松方程式。成功大學土木工程學系學位論文。2013。1-113。