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	Self-adaptive strategy for one-dimensional finite element method based on element energy projection method
	Yuan Si ; He Xue-Feng
	2010-05-11 ; 2010-05-11
关键词	finite element method (FEM) self-adaptive solution super-convergence element energy projection ordinary differential equation (ODE) SUPERCONVERGENT PATCH RECOVERY Mathematics, Applied Mechanics
中文摘要	Based on the newly-developed element energy projection (EEP) method for computation of super-convergent results in one-dimensional finite element method (FEM), the task of self-adaptive FEM analysis was converted into the task of adaptive piecewise polynomial interpolation. As a result, a satisfactory FEM mesh can be obtained, and further FEM analysis on this mesh would immediately produce an FEM solution which usually satisfies the user specified error tolerance. Even though the error tolerance was not completely satisfied, one or two steps of further local refinements would be sufficient. This strategy was found to be very simple, rapid, cheap and efficient. Taking the elliptical ordinary differential equation of second order as the model problem, the fundamental idea, implementation strategy and detailed algorithm are described. Representative numerical examples are given to show the effectiveness and reliability of the proposed approach.
语种	英语 ; 英语
出版者	SHANGHAI UNIV ; SHANGHAI ; 149 YANCHANG RD, SHANGHAI 200072, PEOPLES R CHINA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/27175]
专题	清华大学
推荐引用方式 GB/T 7714	Yuan Si,He Xue-Feng. Self-adaptive strategy for one-dimensional finite element method based on element energy projection method[J],2010, 2010.
APA	Yuan Si,&He Xue-Feng.(2010).Self-adaptive strategy for one-dimensional finite element method based on element energy projection method..
MLA	Yuan Si,et al."Self-adaptive strategy for one-dimensional finite element method based on element energy projection method".(2010).

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