On the First-Order Shape Derivative of the Kohn-Vogelius Cost Functional of the Bernoulli Problem
Joint Authors
Bacani, Jerico B.
Peichl, Gunther
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-23
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
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 Hölder continuity of the state variables and not the usual approach which uses the shape derivatives of states.
American Psychological Association (APA)
Bacani, Jerico B.& Peichl, Gunther. 2013. On the First-Order Shape Derivative of the Kohn-Vogelius Cost Functional of the Bernoulli Problem. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-467838
Modern Language Association (MLA)
Bacani, Jerico B.& Peichl, Gunther. On the First-Order Shape Derivative of the Kohn-Vogelius Cost Functional of the Bernoulli Problem. Abstract and Applied Analysis No. 2013 (2013), pp.1-19.
https://search.emarefa.net/detail/BIM-467838
American Medical Association (AMA)
Bacani, Jerico B.& Peichl, Gunther. On the First-Order Shape Derivative of the Kohn-Vogelius Cost Functional of the Bernoulli Problem. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-467838
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467838