KFU. Card publication. 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

Form of presentation

Articles in Russian journals and collections

Year of publication

2015

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Authors, employees of KFU

Dautov Rafail Zamilovich, author

Lapin Aleksandr Vasilevich, author

Bibliographic description in the original language

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 – V.36, No.1 – P.65-75.

Annotation

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 nite element approxima-tion for this problem is proved. Discrete saddle point problem is constructed and preconditioned Uzawa-type iterative algorithm for its solution is investigated.

Keywords

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

The name of the journal

Lobachevskii Journal of Mathematics

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/34198/D_lap_engl.pdf?sequence=1&isAllowed=y

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

https://repository.kpfu.ru/eng/?p_id=125800&p_lang=2

Resource files

File name	Size (MB)	Format
D_lap_engl.pdf	0,18	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Dautov Rafail Zamilovich	ru_RU
dc.contributor.author	Lapin Aleksandr Vasilevich	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 – V.36, No.1 – P.65-75.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=125800&p_lang=2	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 nite element approxima-tion 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	nite 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	Articles in Russian journals and collections	ru_RU