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Titel
A Dirichlet-Neumann cost functional approach for the Bernoulli problem
VerfasserPeichl, Gunther ; Ben Abda, Amel ; Bouchon, Francois ; Sayeh, Mohamed ; Touzani, Rachid In der Gemeinsamen Normdatei der DNB nachschlagen
Erschienen in
Journal of Engineering Mathematics, 2013, Jg. 81, H. 1, S. 157-176
ErschienenSpringer
SpracheDeutsch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)Bernoulli problem / Domain perturbation / Free boundary / Level set method / Shape optimization / Shape derivative
ISSN1573-2703
URNurn:nbn:at:at-ubg:3-1417 Persistent Identifier (URN)
DOIdoi:10.1007/s10665-012-9608-3 
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A Dirichlet-Neumann cost functional approach for the Bernoulli problem [0.32 mb]
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Zusammenfassung (Englisch)

The Bernoulli problem is rephrased into a shape optimization problem. In particular, the cost function, which turns out to be a constitutive law gap functional, is borrowed from inverse problem formulations. The shape derivative of the cost functional is explicitly determined. The gradient information is combined with the level set method in a steepest descent algorithm to solve the shape optimization problem. The efficiency of this approach is illustrated by numerical results for both interior and exterior Bernoulli problems.

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