On the Second-Order Shape Derivative of the Kohn-Vogelius Objective Functional Using the Velocity Method
Joint Authors
Bacani, Jerico B.
Rabago, Julius Fergy T.
Source
International Journal of Differential Equations
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-07
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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 solving the second-order shape derivative of the objective functional using the velocity method with nonautonomous velocity fields.
This work confirms the classical results of Delfour and Zolésio in relating shape derivatives of functionals using velocity method and perturbation of identity technique.
American Psychological Association (APA)
Bacani, Jerico B.& Rabago, Julius Fergy T.. 2015. On the Second-Order Shape Derivative of the Kohn-Vogelius Objective Functional Using the Velocity Method. International Journal of Differential Equations،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1065525
Modern Language Association (MLA)
Bacani, Jerico B.& Rabago, Julius Fergy T.. On the Second-Order Shape Derivative of the Kohn-Vogelius Objective Functional Using the Velocity Method. International Journal of Differential Equations No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1065525
American Medical Association (AMA)
Bacani, Jerico B.& Rabago, Julius Fergy T.. On the Second-Order Shape Derivative of the Kohn-Vogelius Objective Functional Using the Velocity Method. International Journal of Differential Equations. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1065525
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1065525