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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 2, Pages 138–146
DOI: https://doi.org/10.21538/0134-4889-2016-22-2-138-146 (Mi timm1299) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Numerical solution of the positional boundary control problem for the wave equation with unknown initial data

A. A. Dryazhenkov, M. M. Potapov

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
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DOI: https://doi.org/10.21538/0134-4889-2016-22-2-138-146
Abstract: The problem of one-sided boundary Neumann control is considered for the one-dimensional wave equation. Information about the initial state of the process is absent. Instead, the values of Dirichlet observations are received in real time at the controlled boundary. The aim is to bring the process to a complete rest by means of positional boundary controls. To solve this problem, we propose an efficient numerical algorithm with an optimal guaranteed damping time. Some results of numerical experiments are presented.
Keywords: wave equation, positional control problem, numerical solution.
Funding agency Grant number
Russian Science Foundation 14-01-00539
Received: 19.12.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 299, Issue 1, Pages 22–30
DOI: https://doi.org/10.1134/S0081543817090048
Bibliographic databases:
Document Type: Article
UDC: 517.977.56
MSC: 49N30, 35Q93, 35L20, 49M25, 35D35
Language: Russian
Citation: A. A. Dryazhenkov, M. M. Potapov, “Numerical solution of the positional boundary control problem for the wave equation with unknown initial data”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 2, 2016, 138–146; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 22–30
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
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