Optimal Control of a Linear Unsteady Fluid–Structure Interaction Problem

Lukas Failer; Dominik Meidner; Boris Vexler

doi:10.1007/s10957-016-0930-1

Optimal Control of a Linear Unsteady Fluid–Structure Interaction Problem

Lukas Failer
, Dominik Meidner
, Boris Vexler

Chair of Optimal Control

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

In this paper, we consider optimal control problems governed by linear unsteady fluid–structure interaction problems. Based on a novel symmetric monolithic formulation, we derive optimality systems and provide regularity results for optimal solutions. The proposed formulation allows for natural application of gradient-based optimization algorithms and for space–time finite element discretizations.

Original language	English
Pages (from-to)	1-27
Number of pages	27
Journal	Journal of Optimization Theory and Applications
Volume	170
Issue number	1
DOIs	https://doi.org/10.1007/s10957-016-0930-1
State	Published - 1 Jul 2016

Keywords

Adjoint equation
Optimal control
Optimality conditions
Unsteady fluid–structure interaction

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10.1007/s10957-016-0930-1

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title = "Optimal Control of a Linear Unsteady Fluid{\textendash}Structure Interaction Problem",

abstract = "In this paper, we consider optimal control problems governed by linear unsteady fluid{\textendash}structure interaction problems. Based on a novel symmetric monolithic formulation, we derive optimality systems and provide regularity results for optimal solutions. The proposed formulation allows for natural application of gradient-based optimization algorithms and for space{\textendash}time finite element discretizations.",

keywords = "Adjoint equation, Optimal control, Optimality conditions, Unsteady fluid{\textendash}structure interaction",

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AU - Meidner, Dominik

AU - Vexler, Boris

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AB - In this paper, we consider optimal control problems governed by linear unsteady fluid–structure interaction problems. Based on a novel symmetric monolithic formulation, we derive optimality systems and provide regularity results for optimal solutions. The proposed formulation allows for natural application of gradient-based optimization algorithms and for space–time finite element discretizations.

KW - Adjoint equation

KW - Optimal control

KW - Optimality conditions

KW - Unsteady fluid–structure interaction

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Optimal Control of a Linear Unsteady Fluid–Structure Interaction Problem

Abstract

Keywords

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