A new dual reciprocity hybrid boundary node method based on Shepard and Taylor interpolation method and Chebyshev polynomials

doi:10.1016/j.enganabound.2016.08.015

CORC > 武汉岩土力学研究所 > 中科院武汉岩土力学所 > 岩土力学所知识全产出 > 期刊论文

	A new dual reciprocity hybrid boundary node method based on Shepard and Taylor interpolation method and Chebyshev polynomials
	Pan, Peng-Zhi; Yan, Fei; Feng, Xia-Ting; Lv, Jia-He; Li, Shao-Jun
刊名	ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
	2016
卷号	73 页码:61-68
关键词	Meshless method Shepard and Taylor interpolation method Dual reciprocity hybrid boundary node method Dual reciprocity method Chebyshev polynomials
ISSN号	0955-7997
DOI	10.1016/j.enganabound.2016.08.015
英文摘要	A new dual reciprocity hybrid boundary node method (DHBNM) is proposed in this paper, in which the Shepard and Taylor interpolation method (STIM) and Chebyshev polynomials interpolation are proposed. Firstly, the Shepard interpolation is used to construct zero level shape function, and the high-power shape functions are constructed through the Taylor expansion, and through those two methods, no inversion is needed in the whole process of the shape function construction. Besides, Chebyshev polynomials are used as the basis functions for particular solution interpolation instead of the conical function, radial basis functions, and the analytical solutions of the basic form of particular solutions related to Chebyshev polynomials for elasticity are obtained, by means of this method, no internal node is needed, and interpolation coefficients can be given as explicit functions, so no inversion is needed for particular solution interpolation, which costs a large amount of computational expense for the traditional method. Based on those two methods, a new dual reciprocity hybrid boundary node method is developed, compared to the traditional DHBNM, no inversion is needed for both shape function construction and particular solution interpolation, which greatly improves the computational efficiency, and no internal node is needed for particular solution interpolation. Numerical examples are given to illustrate that the present method is accurate and effective. (C) 2016 Elsevier Ltd. All rights reserved.
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	ELSEVIER SCI LTD
WOS记录号	WOS:000391901900007
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/3964]
专题	岩土力学所知识全产出_期刊论文岩土力学所知识全产出国家重点实验室知识产出_期刊论文
作者单位	Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn
推荐引用方式 GB/T 7714	Pan, Peng-Zhi,Yan, Fei,Feng, Xia-Ting,et al. A new dual reciprocity hybrid boundary node method based on Shepard and Taylor interpolation method and Chebyshev polynomials[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2016,73:61-68.
APA	Pan, Peng-Zhi,Yan, Fei,Feng, Xia-Ting,Lv, Jia-He,&Li, Shao-Jun.(2016).A new dual reciprocity hybrid boundary node method based on Shepard and Taylor interpolation method and Chebyshev polynomials.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,73,61-68.
MLA	Pan, Peng-Zhi,et al."A new dual reciprocity hybrid boundary node method based on Shepard and Taylor interpolation method and Chebyshev polynomials".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 73(2016):61-68.