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	Convergence analysis of an adaptive edge element method for Maxwell's equations
	Chen, Junqing ; Xu, Yifeng ; Zou, Jun
	2010-10-12 ; 2010-10-12
关键词	Static Maxwell equations Edge element methods Adaptive methods POSTERIORI ERROR ESTIMATORS MIXED FINITE-ELEMENTS DISCONTINUOUS COEFFICIENTS 3 DIMENSIONS SINGULARITIES Mathematics, Applied
中文摘要	An efficient and reliable a posteriori error estimate is derived for solving three-dimensional static Maxwell's equations by using the edge elements of first family. Based on the a posteriori error estimates, an adaptive finite element method is constructed and its convergence is established. Compared with the existing results, an important advantage of the new theory lies in its feature that the usual marking of elements based on the oscillation is not needed in our adaptive algorithm, while the linear convergence of the algorithm can be still demonstrated in terms of the reduction of the energy-norm error and the oscillation. Numerical examples are provided which demonstrate the effectiveness and robustness of the adaptive methods. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
语种	英语 ; 英语
出版者	ELSEVIER SCIENCE BV ; AMSTERDAM ; PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81214]
专题	清华大学
推荐引用方式 GB/T 7714	Chen, Junqing,Xu, Yifeng,Zou, Jun. Convergence analysis of an adaptive edge element method for Maxwell's equations[J],2010, 2010.
APA	Chen, Junqing,Xu, Yifeng,&Zou, Jun.(2010).Convergence analysis of an adaptive edge element method for Maxwell's equations..
MLA	Chen, Junqing,et al."Convergence analysis of an adaptive edge element method for Maxwell's equations".(2010).

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