КФУ. Карточка публикации. Finite element approximation and iterative method solution of elliptic control problem with constraints to gradient of state

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FINITE ELEMENT APPROXIMATION AND ITERATIVE METHOD SOLUTION OF ELLIPTIC CONTROL PROBLEM WITH CONSTRAINTS TO GRADIENT OF STATE

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2015

Язык

английский

Авторы, сотрудники КФУ

Даутов Рафаил Замилович, автор

Лапин Александр Васильевич, автор

Библиографическое описание на языке оригинала

Dautov R, Lapin A., Finite element approximation and iterative method solution of elliptic control problem with constraints to gradient of state//Lobachevskii Journal of Mathematics. - 2015. - Vol.36, Is.1. - P.65-75.

Аннотация

An optimal control problem with distributed control in the right-hand side of Poisson equation is considered. Pointwise constraints on the gradient of state and control are imposed in this problem. The convergence of finite element approximation for this problem is proved. Discrete saddle point problem is constructed and preconditioned Uzawa-type iterative algorithm for its solution is investigated

Ключевые слова

optimal control, finite element method, iterative method, constrained saddle point problem

Название журнала

Lobachevskii Journal of Mathematics

URL

http://www.scopus.com/inward/record.url?eid=2-s2.0-84924940252&partnerID=40&md5=cad585e06f72312ce2b5a0fb7e185cbd

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https://repository.kpfu.ru/?p_id=123941

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Даутов Рафаил Замилович	ru_RU
dc.contributor.author	Лапин Александр Васильевич	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	Dautov R, Lapin A., Finite element approximation and iterative method solution of elliptic control problem with constraints to gradient of state//Lobachevskii Journal of Mathematics. - 2015. - Vol.36, Is.1. - P.65-75.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=123941	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	An optimal control problem with distributed control in the right-hand side of Poisson equation is considered. Pointwise constraints on the gradient of state and control are imposed in this problem. The convergence of finite element approximation for this problem is proved. Discrete saddle point problem is constructed and preconditioned Uzawa-type iterative algorithm for its solution is investigated	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	optimal control	ru_RU
dc.subject	finite element method	ru_RU
dc.subject	iterative method	ru_RU
dc.subject	constrained saddle point problem	ru_RU
dc.title	Finite element approximation and iterative method solution of elliptic control problem with constraints to gradient of state	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU