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The numerical manifold method for exterior problems

文献类型：期刊论文

作者Zheng, Hong1,2; Wang, Fangyi1
刊名COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
出版日期2020-06-01
卷号364页码:22
ISSN号0045-7825
关键词Exterior problems Numerical manifold method Infinite element method Finite element method
DOI10.1016/j.cma.2020.112968
英文摘要The numerical manifold method (NMM), a Galerkin-type numerical method, has been successful in the solution of problems with finite definition domains, yet it has never been applied to problems with unbounded domains, or exterior problems. This study aims to fill the big gap by constructing infinite patches, together with the finite patches, to cover the unbounded domain. The local approximations of infinite patches can take the asymptotic estimations of the solutions at infinity, which are available for all those well-established boundary value problems. Compared with the infinite element methods in the finite element method (FEM), the construction of the trial functions by NMM is more elegant in theory and more systematical in methodology, resulting in more accurate solutions. Some typical examples in potential and half-space elasticity problems are investigated to illustrate the applicability and accuracy of the proposed method. (C) 2020 Published by Elsevier B.V.
资助项目National Natural Science Foundation of China[11172313]
WOS研究方向Engineering ; Mathematics ; Mechanics
语种英语
出版者ELSEVIER SCIENCE SA
WOS记录号WOS:000527574600041
源URL[http://119.78.100.198/handle/2S6PX9GI/24069]  
专题中科院武汉岩土力学所
通讯作者Zheng, Hong
作者单位1.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China
推荐引用方式
GB/T 7714		 Zheng, Hong,Wang, Fangyi. The numerical manifold method for exterior problems[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2020,364:22.
APA Zheng, Hong,&Wang, Fangyi.(2020).The numerical manifold method for exterior problems.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,364,22.
MLA Zheng, Hong,et al."The numerical manifold method for exterior problems".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 364(2020):22.

入库方式： OAI收割

来源：武汉岩土力学研究所

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