Journal
OPTIMAL CONTROL OF COUPLED SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS
Volume 158, Issue -, Pages 35-+Publisher
BIRKHAUSER VERLAG AG
DOI: 10.1007/978-3-7643-8923-9_2
Keywords
Shape optimization; Navier-Stokes equations; PDE-constrained optimization
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Funding
- Schwerpunktprogramm-German Research Foundation [1253]
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In this paper we present an approach to shape optimization which is based on continuous adjoint computations. If the exact discrete adjoint equation is used, the resulting formula yields the exact discrete reduced gradient. We first introduce the adjoint-based shape derivative computation in a Banach space setting. This method is then applied to the instationary Navier-Stokes equations. Finally, we give some numerical results.
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