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Preconditioned Uzawa-type method for a state constrained parabolic optimal control problem with boundary control

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dc.contributor.author Lapin A.
dc.contributor.author Laitinen E.
dc.date.accessioned 2018-09-19T22:10:27Z
dc.date.available 2018-09-19T22:10:27Z
dc.date.issued 2016
dc.identifier.issn 1995-0802
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/144809
dc.description.abstract © 2016, Pleiades Publishing, Ltd.Iterative solution method for mesh approximation of an optimal control problem of a system governed by a linear parabolic equation is constructed and investigated. Control functions of the problem are in the right-hand side of the equation and in Neumann boundary condition, observation is in a part of the domain. Constraints on the control functions, state function and its time derivative are imposed. A mesh saddle point problem is constructed and preconditioned Uzawa-type method is applied to its solution. The main advantage of the iterative method is its effective implementation: every iteration step consists of the pointwise projections onto the segments and solving the linear mesh parabolic equations.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject iterative method
dc.subject mesh approximation
dc.subject Parabolic optimal control problem
dc.subject saddle point problem
dc.subject state constraints
dc.title Preconditioned Uzawa-type method for a state constrained parabolic optimal control problem with boundary control
dc.type Article
dc.relation.ispartofseries-issue 5
dc.relation.ispartofseries-volume 37
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 561
dc.source.id SCOPUS19950802-2016-37-5-SID84987901623


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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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