KFU. Card publication. Iterative solution methods for large-scale constrained saddle-point problems

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

ITERATIVE SOLUTION METHODS FOR LARGE-SCALE CONSTRAINED SADDLE-POINT PROBLEMS

Form of presentation

Articles in international journals and collections

Year of publication

2013

Язык

английский

Authors, employees of KFU

Lapin Aleksandr Vasilevich, author

Bibliographic description in the original language

E. Laitinen, A. Lapin. Iterative solution methods for large-scale constrained saddle-point problems// In: ”Numerical Methods for Differential Equations, Optimization and Technological Problems”, Comp. Meth. Appl. Sc., 27., Springer. 2013. P. 19-39.

Annotation

Iterative solution methods for a class of finite-dimensional constrained saddle point problems are developed. These problems arise if variational inequalities and minimization problems are solved with the help of mixed finite element statements involving primal and dual variables. In the paper, we suggest several new approaches to the construction of saddle point problems and present convergence results for the iteration methods. Numerical results confirm the theoretical analysis.

Keywords

variational inequality, ptimal control problem, finite element method, constrained saddle point problem, iterative methods

The name of the journal

Computational methods in applies sciences

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=125852&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Lapin Aleksandr Vasilevich	ru_RU
dc.date.accessioned	2013-01-01T00:00:00Z	ru_RU
dc.date.available	2013-01-01T00:00:00Z	ru_RU
dc.date.issued	2013	ru_RU
dc.identifier.citation	E. Laitinen, A. Lapin. Iterative solution methods for large-scale constrained saddle-point problems// In: ”Numerical Methods for Differential Equations, Optimization and Technological Problems”, Comp. Meth. Appl. Sc., 27., Springer. 2013. P. 19-39.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=125852&p_lang=2	ru_RU
dc.description.abstract	Computational methods in applies sciences	ru_RU
dc.description.abstract	Iterative solution methods for a class of finite-dimensional constrained saddle point problems are developed. These problems arise if variational inequalities and minimization problems are solved with the help of mixed finite element statements involving primal and dual variables. In the paper, we suggest several new approaches to the construction of saddle point problems and present convergence results for the iteration methods. Numerical results confirm the theoretical analysis.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	variational inequality	ru_RU
dc.subject	ptimal control problem	ru_RU
dc.subject	finite element method	ru_RU
dc.subject	constrained saddle point problem	ru_RU
dc.subject	iterative methods	ru_RU
dc.title	Iterative solution methods for large-scale constrained saddle-point problems	ru_RU
dc.type	Articles in international journals and collections	ru_RU