Adaptive galerkin methods with error control for a dynamical Ginzburg-Landau model in superconductivity

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	Adaptive galerkin methods with error control for a dynamical Ginzburg-Landau model in superconductivity
	Chen, ZM; Dai, SB
	2001-02-08
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	38 期号:6 页码:1961-1985
摘要	The time-dependent Ginzburg-Landau model which describes the phase transitions taking place in superconductors is a coupled system of nonlinear parabolic equations. It is discretized semi-implicitly in time and in space via continuous piecewise linear finite elements. A posteriori error estimates are derived for the (LL2)-L-infinity norm by studying a dual problem of the linearization of the original system, other than the dual of error equations. Numerical simulations are included which illustrate the reliability of the estimators and the flexibility of the proposed adaptive method.
关键词	a posteriori error estimates Ginzburg Landau vortices superconductivity adaptive nonlinear PDEs
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000167675400008
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15869
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, ZM
作者单位	Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, ZM,Dai, SB. Adaptive galerkin methods with error control for a dynamical Ginzburg-Landau model in superconductivity[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2001,38(6):1961-1985.
APA	Chen, ZM,&Dai, SB.(2001).Adaptive galerkin methods with error control for a dynamical Ginzburg-Landau model in superconductivity.SIAM JOURNAL ON NUMERICAL ANALYSIS,38(6),1961-1985.
MLA	Chen, ZM,et al."Adaptive galerkin methods with error control for a dynamical Ginzburg-Landau model in superconductivity".SIAM JOURNAL ON NUMERICAL ANALYSIS 38.6(2001):1961-1985.