On the First-Order Shape Derivative of the Kohn-Vogelius Cost Functional of the Bernoulli Problem

The exterior Bernoulli free boundary problem is being considered. The solution to the problem is studied via shape optimization techniques. The goal is to determine a domain having a specific regularity that gives a minimum value for the Kohn-Vogelius-type cost functional while simultaneously solvin...

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Bibliographic Details
Published in:Abstract and Applied Analysis
Main Authors: Jerico B. Bacani, Gunther Peichl
Format: Article
Language:English
Published: Wiley 2013-01-01
Online Access:http://dx.doi.org/10.1155/2013/384320

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