Preconditioned Uzawa-type method for a state constrained parabolic optimal control problem with boundary control
- Autores: Lapin A.1,2, Laitinen E.1,2
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Afiliações:
- Department of Mathematical Statistics
- University of Oulu
- Edição: Volume 37, Nº 5 (2016)
- Páginas: 561-569
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198275
- DOI: https://doi.org/10.1134/S1995080216050085
- ID: 198275
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Resumo
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.
Sobre autores
A. Lapin
Department of Mathematical Statistics; University of Oulu
Autor responsável pela correspondência
Email: avlapine@mail.ru
Rússia, Kremlevskaya ul. 35, Kazan, 420008; Oulu, 90014
E. Laitinen
Department of Mathematical Statistics; University of Oulu
Email: avlapine@mail.ru
Rússia, Kremlevskaya ul. 35, Kazan, 420008; Oulu, 90014