Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation
type: Item
instance of: scholarly article
title: Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation
zbMATH Open document ID: 1381.49018
DOI: 10.1134/S0965542517030071
author: Peng Zhang
published in: Computational Mathematics and Mathematical Physics
publication date: 2017-12-06T00:00:00Z
review text: The authors consider time-optimal control problems for the wave equation with two-sided boundary controls in classes of weak generalized solutions. The aim is to drive the system to a given fixed terminal state in the shortest time. By modifying algorithms proposed by themselves in an earlier work [Proc. Steklov Inst. Math. 291, 102--117 (2015; Zbl 1342.35419); translation from Tr. Mat. Inst. Steklova 291, 112--127 (2015)] for the case of stronger generalized solutions, they develop stable algorithms for computing optimal times and optimal boundary controls. Numerical experiments are also presented.
reviewed by: Gheorghe Aniculăesei
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 6815865
zbMATH Keywords: wave equation
zbMATH Keywords: boundary control
zbMATH Keywords: time-optimal control
zbMATH Keywords: inexact data
zbMATH Keywords: approximate solution
zbMATH Keywords: convergence
MaRDI profile type: Publication
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full work available at URL: s0965542517030071
OpenAlex ID: W2613555248
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description: scientific article; zbMATH DE number 6815865