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Singular and Regular Implementations of the Hybrid Boundary Node Method

Jianming ZHANG1, Masa Tanaka2, Zhenhan YAO3( )
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Automotive Engineering, Hunan University, Changsha 410082, China
Faculty of Engineering, Shinshu University, Nagano 380-8553, Japan
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
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Abstract

The hybrid boundary node method (HdBNM) combines a modified function with the moving least squares approximation to form a boundary-only truly meshless method. This paper describes two implementations of the HdBNM, the singular hybrid boundary node method (ShBNM) and the regular hybrid boundary node method (RhBNM). The ShBNM and RhBNM were compared with each other, and the parameters that influence their performance were studied in detail. The convergence rates and their applicability to thin structures were also investigated. The ShBNM and RhBNM are found to be very easy to implement and to efficiently obtain numerical solutions to computational mechanics problems.

Keywords

meshless methodshybrid boundary node methodmoving least squares approximation

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Tsinghua Science and Technology
Volume 12 Issue 5,
October 2007
Pages 509-519
DOI: 10.1016/S1007-0214(07)70126-8

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Cite this article:
ZHANG J, Tanaka M, YAO Z. Singular and Regular Implementations of the Hybrid Boundary Node Method. Tsinghua Science and Technology, 2007, 12(5): 509-519. https://doi.org/10.1016/S1007-0214(07)70126-8

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Received: 15 March 2007
Published: 01 October 2007
© Tsinghua University Press 2007