Journal
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
Volume 14, Issue 3, Pages 517-539Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1051/cocv:2008002
Keywords
shape derivative
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Funding
- Austrian Science Fund (FWF) [F 3202] Funding Source: researchfish
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A general framework for calculating shape derivatives for optimization problems with partial differential equations as constraints is presented. The proposed technique allows to obtain the shape derivative of the cost without the necessity to involve the shape derivative of the state variable. In fact, the state variable is only required to be Lipschitz continuous with respect to the geometry perturbations. Applications to inverse interface problems, and shape optimization for elliptic systems and the Navier-Stokes equations are given.
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