CSpace
Numerical solutions of an optimal control problem governed by a Ginzburg-Landau model in superconductivity
Chen, ZM; Hoffmann, KH
1998
Source PublicationNUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
ISSN0163-0563
Volume19Issue:7-8Pages:737-757
AbstractA 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.
Keywordsuperconductivity finite element method exterior penalty function method
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000075791700004
PublisherMARCEL DEKKER INC
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13578
Collection中国科学院数学与系统科学研究院
Affiliation1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
2.Tech Univ Munchen, Lehrstuhl Angew Math, D-80335 Munchen, Germany
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Chen, ZM]'s Articles
[Hoffmann, KH]'s Articles
Baidu academic
Similar articles in Baidu academic
[Chen, ZM]'s Articles
[Hoffmann, KH]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Chen, ZM]'s Articles
[Hoffmann, KH]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.