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Dual Reciprocity Singular Hybrid Boundary Node Method for Solving Inhomogeneous Equations

Published online by Cambridge University Press:  05 May 2011

Y. Z. SiMa ,
H. P. Zhu  and
Y. Miao
Y. Z. SiMa*
Affiliation:
School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, P.R.China
H. P. Zhu*
Affiliation:
School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, P.R.China
Y. Miao*
Affiliation:
School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, P.R.China
*
*Ph.D.
**Professor
***Lecture, corresponding author
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Abstract

Based on the radial basis function (RBF) and the singular hybrid boundary node method (SHBNM), this paper presents an inherent meshless, boundary-only technique, which names dual reciprocity singular hybrid boundary node method (DRSHBNM), for numerical solution of various inhomogeneous equations. In this study, the RBFs are employed to approximate the inhomogeneous terms via dual reciprocity method (DRM), while the general solution is solved by means of SHBNM, in which only requires discrete nodes constructed on the boundary of a domain, while several nodes in the domain are needed for the RBF interpolation. The treatment of singularity integration and the 'boundary layer effect' have been given by a series of effective approaches. Numerical examples for the solution of inhomogeneous equations show that high convergence rates and high accuracy with a small node number are achievable.

Keywords

Dual reciprocity singular hybrid boundary node methodDual reciprocity methodInhomogeneous equationsRigid movement method.
Type
Articles
Information
Journal of Mechanics , Volume 25 , Issue 2 , June 2009 , pp. 137 - 142
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2009

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