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Iterative solution methods for mesh approximation of control and state constrained optimal control problem with observation in a part of the domain

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dc.contributor.author Lapin A.
dc.contributor.author Khasanov M.
dc.date.accessioned 2018-09-18T20:34:40Z
dc.date.available 2018-09-18T20:34:40Z
dc.date.issued 2014
dc.identifier.issn 1995-0802
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/141323
dc.description.abstract © 2014, Pleiades Publishing, Ltd. Iterative solution methods for finite-dimensional constrained saddle point problems are investigated theoretically and numerically. These saddle point problems arise when approximating differential optimal control problems with point-wise state and control constraints by finite element or finite difference schemes with further using Lagrange multipliers technique. The linear elliptic boundary value problems with distributed control and the observation in a part of the domain are considered. Equivalent transformations of the constructed finite-dimensional saddle point problem are executed to apply effectively Uzawa-type iterative methods. Numerical comparison of these methods with gradient method for a regularized problem and interior point method is done.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject elliptic equation
dc.subject state and control constrained optimal control problems
dc.subject Uzawa-type iterative methods
dc.title Iterative solution methods for mesh approximation of control and state constrained optimal control problem with observation in a part of the domain
dc.type Article
dc.relation.ispartofseries-issue 3
dc.relation.ispartofseries-volume 35
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 241
dc.source.id SCOPUS19950802-2014-35-3-SID84907056667


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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