4.5 Article

Optimal Control of a Linear Unsteady Fluid-Structure Interaction Problem

Journal

Publisher

SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-016-0930-1

Keywords

Unsteady fluid-structure interaction; Optimal control; Adjoint equation; Optimality conditions

Funding

  1. Federal Ministry of Education and Research (BMBF) [05M2013]
  2. International Research Training Group [IGDK 1754]
  3. DFG
  4. FWF
  5. International Graduate School of Science and Engineering at the Technical University of Munich
  6. Austrian Science Fund (FWF) [W1244] Funding Source: Austrian Science Fund (FWF)

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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.

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