On the shape derivative for problems of Bernoulli type
J. Haslinger
Charles University, Praha, Czech RepublicK. Ito
North Carolina State University, Raleigh, United StatesT. Kozubek
VSB-Technical University Ostrava, Czech RepublicKarl Kunisch
Karl-Franzens-Universität Graz, AustriaG. Peichl
Karl-Franzens-Universität Graz, Austria
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Abstract
The shape derivative of the cost functional in a Bernoulli-type problem is characterized. The calculation of the derivative of the cost does not use the shape derivative of the state variable and is achieved under mild regularity conditions on the boundary of the domain.
Cite this article
J. Haslinger, K. Ito, T. Kozubek, Karl Kunisch, G. Peichl, On the shape derivative for problems of Bernoulli type. Interfaces Free Bound. 11 (2009), no. 2, pp. 317–330
DOI 10.4171/IFB/213