Local refinement of flat-top partition of unity based high-order approximation

doi:10.1002/nme.5932

CORC > 武汉植物园 > 中国科学院武汉植物园

	Local refinement of flat-top partition of unity based high-order approximation
	Jiao, Yuyong 1; An, Xinmei 2; Zhao, Zhiye 4; Liu, Xiaoying 3,4
刊名	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
	2018-11-16
卷号	116 期号:7 页码:465-486
关键词	flat-top partition of unity high-order approximation linear independence local refinement
ISSN号	0029-5981
DOI	10.1002/nme.5932
英文摘要	The high-order approximation with regularly patterned flat-top partition of unity mesh in one- and two-dimensional cases has been proven linearly independent. However, for problems with stress concentration or stress singularity, local refinement within the regular mesh is necessary to improve the accuracy and efficiency. This paper introduces local refinement of flat-top partition of unity mesh within the framework of high-order approximation in one- and two-dimensional spaces, respectively. Based on the traditional PU mesh, the construction of locally refined flat-top PU mesh is straightforward. With the rank deficiency counting approach, linear independence is proven from element level for the locally refined mesh system. Based on the numerical solution procedure presented, two numerical examples are analyzed to verify the proposed approximation method.
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	WILEY
WOS记录号	WOS:000446988200002
内容类型	期刊论文
源URL	[http://202.127.146.157/handle/2RYDP1HH/5916]
专题	中国科学院武汉植物园
通讯作者	Liu, Xiaoying
作者单位	1.Chinese Acad Sci, Inst Rock & Soil Mech, Wuhan, Hubei, Peoples R China 2.Land Transport Author, Singapore, Singapore 3.Sun Yat Sen Univ, Sch Civil Engn, Guangzhou, Guangdong, Peoples R China 4.Nanyang Technol Univ, Sch Civil & Environm Engn, Singapore 639798, Singapore
推荐引用方式 GB/T 7714	Jiao, Yuyong,An, Xinmei,Zhao, Zhiye,et al. Local refinement of flat-top partition of unity based high-order approximation[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2018,116(7):465-486.
APA	Jiao, Yuyong,An, Xinmei,Zhao, Zhiye,&Liu, Xiaoying.(2018).Local refinement of flat-top partition of unity based high-order approximation.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,116(7),465-486.
MLA	Jiao, Yuyong,et al."Local refinement of flat-top partition of unity based high-order approximation".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 116.7(2018):465-486.