Optimal Control of a Linear Unsteady Fluid–Structure Interaction Problem



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.


Unsteady fluid–structure interaction Optimal control  Adjoint equation Optimality conditions 

Mathematics Subject Classification

35B65 35M33 49K20 74F10 



The first author gratefully acknowledges the financial support by the Federal Ministry of Education and Research (BMBF) within the Research Grant 05M2013 “ExtremSimOpt: Modeling, Simulation and Optimization of Fluids in Extreme Conditions.” Furthermore, the first author gratefully acknowledges the support from the International Research Training Group IGDK 1754, funded by DFG and FWF, and from the International Graduate School of Science and Engineering at the Technical University of Munich.


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© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Faculty for MathematicsTechnical University of MunichGarching bei MünchenGermany

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