Optimal Control of a Linear Unsteady Fluid–Structure Interaction Problem

Lukas Failer (), Dominik Meidner () and Boris Vexler ()
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Lukas Failer: Technical University of Munich
Dominik Meidner: Technical University of Munich
Boris Vexler: Technical University of Munich

Journal of Optimization Theory and Applications, 2016, vol. 170, issue 1, No 1, 27 pages

Abstract: 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.

Keywords: Unsteady fluid–structure interaction; Optimal control; Adjoint equation; Optimality conditions; 35B65; 35M33; 49K20; 74F10 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10957-016-0930-1

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