On the Second-Order Shape Derivative of the Kohn-Vogelius Objective Functional Using the Velocity Method

The exterior Bernoulli free boundary problem was studied via shape optimization technique. The problem was reformulated into the minimization of the so-called Kohn-Vogelius objective functional, where two state variables involved satisfy two boundary value problems, separately. The paper focused on...

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Bibliographic Details
Main Authors: Jerico B. Bacani, Julius Fergy T. Rabago
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2015/954836
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