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	Moving mesh method with error-estimator-based monitor and its applications to static obstacle problem
	Li, R ; Liu, WB ; Ma, HP
	2004
关键词	finite element method moving mesh method a posteriori error estimator obstacle problem ADAPTIVE-GRID GENERATION SINGULAR PROBLEMS HARMONIC MAPS DIMENSIONS EQUATIONS
英文摘要	The main objective of this work is to demonstrate that sharp a posteriori error estimators can be employed as appropriate monitor functions for moving mesh methods. We illustrate the main ideas by considering elliptic obstacle problems. Some important issues such as how to derive the sharp estimators and how to smooth the monitor functions are addressed. The numerical schemes are applied to a number of test problems in two dimensions. It is shown that the moving mesh methods with the proposed monitor functions can effectively capture the free boundaries of the elliptic obstacle problems and reduce the numerical errors arising from the free boundaries.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000221460400002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; SCI(E); EI; 6; ARTICLE; 1; 31-55; 21
语种	英语
出处	SCI ; EI
出版者	journal of scientific computing
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157981]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, R,Liu, WB,Ma, HP. Moving mesh method with error-estimator-based monitor and its applications to static obstacle problem. 2004-01-01.

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