Semismooth newton methods for an optimal boundary control problem of wave equations

Axel Kröner; Karl Kunisch; Boris Vexler

doi:10.1007/978-3-642-12598-0_33

Semismooth newton methods for an optimal boundary control problem of wave equations

Axel Kröner, Karl Kunisch, Boris Vexler

Lehrstuhl für Optimalsteuerung

Publikation: Beitrag in Buch/Bericht/Konferenzband › Kapitel › Begutachtung

1 Zitat (Scopus)

Abstract

In this paper optimal Dirichlet boundary control problems governed by the wave equation and the strongly damped wave equation with control constraints are analyzed. For treating inequality constraints semismooth Newton methods are discussed and their convergence properties are investigated. For numerical realization a space-time finite element discretization is introduced. Numerical examples illustrate the results.

Originalsprache	Englisch
Titel	Recent Advances in Optimization and its Applications in Engineering
Herausgeber (Verlag)	Springer Berlin Heidelberg
Seiten	389-398
Seitenumfang	10
ISBN (Print)	9783642125973
DOIs	https://doi.org/10.1007/978-3-642-12598-0_33
Publikationsstatus	Veröffentlicht - 2010

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10.1007/978-3-642-12598-0_33

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abstract = "In this paper optimal Dirichlet boundary control problems governed by the wave equation and the strongly damped wave equation with control constraints are analyzed. For treating inequality constraints semismooth Newton methods are discussed and their convergence properties are investigated. For numerical realization a space-time finite element discretization is introduced. Numerical examples illustrate the results.",

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AU - Kröner, Axel

AU - Kunisch, Karl

AU - Vexler, Boris

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AB - In this paper optimal Dirichlet boundary control problems governed by the wave equation and the strongly damped wave equation with control constraints are analyzed. For treating inequality constraints semismooth Newton methods are discussed and their convergence properties are investigated. For numerical realization a space-time finite element discretization is introduced. Numerical examples illustrate the results.

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SN - 9783642125973

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EP - 398

BT - Recent Advances in Optimization and its Applications in Engineering

PB - Springer Berlin Heidelberg

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Semismooth newton methods for an optimal boundary control problem of wave equations

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