A new hybrid boundary node method based on Taylor expansion and the Shepard interpolation method

doi:10.1002/nme.4861

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 hybrid boundary node method based on Taylor expansion and the Shepard interpolation method
	Feng, Xia-Ting; Yan, Fei; Lv, Jia-He; Pan, Peng-Zhi
刊名	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
	2015
卷号	102 期号:8 页码:1488-1506
关键词	meshless method Shepard interpolation method Taylor expansion interpolation property hybrid boundary node method
ISSN号	0029-5981
DOI	10.1002/nme.4861
英文摘要	A novel meshless method based on the Shepard and Taylor interpolation method (STIM) and the hybrid boundary node method (HBNM) is proposed. Based on the Shepard interpolation method and Taylor expansion, the STIM is developed to construct the shape function of the HBNM. In the STIM, the Shepard shape function is used as the basic function, which is the zero-level shape function, and the high-power basic functions are constructed through Taylor expansion. Four advantages of the STIM are the interpolation property, the arbitrarily high-order consistency, the absence of inversion for the whole process of shape function construction, and the low computational expense. These properties are desirable in the implementation of meshless methods. By combining the STIM and the HBNM, a much more effective meshless method is proposed to solve the elasticity problems. Compared with the traditional HBNM, the STIM can improve accuracy because of the use of high-power basic functions and can also improve the computational efficiency because there is no inversion for the shape function construction process. Numerical examples are given to demonstrate the accuracy and efficiency of the proposed method. Copyright (c) 2015 John Wiley & Sons, Ltd.
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	WILEY-BLACKWELL
WOS记录号	WOS:000353516900002
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/3721]
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	Feng, Xia-Ting,Yan, Fei,Lv, Jia-He,et al. A new hybrid boundary node method based on Taylor expansion and the Shepard interpolation method[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2015,102(8):1488-1506.
APA	Feng, Xia-Ting,Yan, Fei,Lv, Jia-He,&Pan, Peng-Zhi.(2015).A new hybrid boundary node method based on Taylor expansion and the Shepard interpolation method.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,102(8),1488-1506.
MLA	Feng, Xia-Ting,et al."A new hybrid boundary node method based on Taylor expansion and the Shepard interpolation method".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 102.8(2015):1488-1506.