Numerical solutions of an optimal control problem governed by a Ginzburg-Landau model in superconductivity

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	Numerical solutions of an optimal control problem governed by a Ginzburg-Landau model in superconductivity
	Chen, ZM ; Hoffmann, KH
	1998
发表期刊	NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
ISSN	0163-0563
卷号	19 期号:7-8 页码:737-757
摘要	A numerical method to solve a constrained optimal control problem governed by a generalized Ginzburg-Landau model which describes the phase transitions taking place in the superconducting thin films with variable thickness. The method is based on a finite element method to approximate the state equations and an exterior penalty function algorithm to solve the discrete optimal control problem. The convergence of the discrete optimal solutions to the continuous optimal solutions and the convergence of the exterior penalty function algorithm are proved. The objective of the work is to study efficient numerical methods for exploring the possibilities of controlling the motion of vortices in the superconducting thin films through the external magnetic field.
关键词	superconductivity finite element method exterior penalty function method
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000075791700004
出版者	MARCEL DEKKER INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13578
专题	中国科学院数学与系统科学研究院
作者单位	1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Tech Univ Munchen, Lehrstuhl Angew Math, D-80335 Munchen, Germany
推荐引用方式 GB/T 7714	Chen, ZM,Hoffmann, KH. Numerical solutions of an optimal control problem governed by a Ginzburg-Landau model in superconductivity[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION,1998,19(7-8):737-757.
APA	Chen, ZM,&Hoffmann, KH.(1998).Numerical solutions of an optimal control problem governed by a Ginzburg-Landau model in superconductivity.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION,19(7-8),737-757.
MLA	Chen, ZM,et al."Numerical solutions of an optimal control problem governed by a Ginzburg-Landau model in superconductivity".NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 19.7-8(1998):737-757.