The Second-Order Shape Derivative of Kohn–Vogelius-Type Cost Functional Using the Boundary Differentiation Approach

Bacani, Jerico B.; Peichl, Gunther

dc.contributor.author	Bacani, Jerico B.
dc.contributor.author	Peichl, Gunther
dc.date.accessioned	2019-09-16T05:21:27Z
dc.date.available	2019-09-16T05:21:27Z
dc.date.issued	2014-09-26
dc.identifier.citation	Mathematics 2014, 12, 196-217	en_US
dc.identifier.uri	doi:10.3390/math2040196
dc.identifier.uri	http://dspace.upb.edu.ph/jspui/handle/123456789/36
dc.description.abstract	A shape optimization method is used to study the exterior Bernoulli free boundary problem. We minimize the Kohn–Vogelius-type cost functional over a class of admissible domains subject to two boundary value problems. The first-order shape derivative of the cost functional is recalled and its second-order shape derivative for general domains is computed via the boundary differentiation scheme. Additionally, the second-order shape derivative of J at the solution of the Bernoulli problem is computed using Tiihonen’s approach.	en_US
dc.description.sponsorship	The output was made possible through the support of O¨ AD – Austrian Agency for International Cooperation in Education and Research for the Technologiestipendien S¨udostasien (Doktorat) scholarship in the frame of the ASEA-UNINET. The output was also made possible through the support of SFB Research Center Mathematical Optimization and Applications in Biomedical Sciences SFB F32.	en_US
dc.language.iso	en	en_US
dc.subject	Bernoulli problem	en_US
dc.subject	boundary value problems	en_US
dc.subject	shape derivative	en_US
dc.subject	boundary differentiation	en_US
dc.title	The Second-Order Shape Derivative of Kohn–Vogelius-Type Cost Functional Using the Boundary Differentiation Approach	en_US
dc.type	Article	en_US