Please use this identifier to cite or link to this item: http://dspace.upb.edu.ph/jspui/handle/123456789/35
Title: On the First-Order Shape Derivative of the Kohn-Vogelius Cost Functional of the Bernoulli Problem
Authors: Bacani, Jerico B.
Peichl, Gunther
Issue Date: 1-Nov-2013
Publisher: Hindawi Publishing Corporation
Citation: Abstract and Applied Analysis, Volume 2013, Article ID 384320, 19 pages
Abstract: 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 solving two PDE constraints: a pure Dirichlet boundary value problem and a Neumann boundary value problem.This paper focuses on the rigorous computation of the first-order shape derivative of the cost functional using the H¨older continuity of the state variables and not the usual approach which uses the shape derivatives of states.
URI: http://dx.doi.org/10.1155/2013/384320
http://dspace.upb.edu.ph/jspui/handle/123456789/35
Appears in Collections:

Files in This Item:
File Description SizeFormat 
Bacani and Peichl_On the First-Order Shape Derivative of the Kohn-Vogelius Cost.pdf653.63 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Admin Tools