On the Shape Gradient and Shape Hessian of a Shape Functional Subject to Dirichlet and Robin Conditions

Bacani, Jerico B.

dc.contributor.author	Bacani, Jerico B.
dc.date.accessioned	2019-09-16T02:25:53Z
dc.date.available	2019-09-16T02:25:53Z
dc.date.issued	2014-07-29
dc.identifier.citation	Applied Mathematical Sciences, Vol. 8, 2014, no. 108, 5387 - 5397	en_US
dc.identifier.uri	http://dx.doi.org/10.12988/ams.2014.47583
dc.identifier.uri	http://dspace.upb.edu.ph/jspui/handle/123456789/33
dc.description.abstract	This paper focuses on minimizing a shape functional through the solution of a Pure Dirichlet boundary value problem, and a Dirichlet-Robin boundary value problem. This shape optimization problem is a variant of the Kohn-Vogelius shape optimization formulation of a Bernoulli free boundary problem. The fi rst- and second-order shape derivatives of the cost functional under consideration are explicitly derived. Interestingly, the present fi ndings coincide with the existing results regarding solutions to the Bernoulli problem.	en_US
dc.description.sponsorship	The work was supported by University of the Philippines System under the award Diamond Jubilee Professorial Chair. The results were presented in the 2014 Taiwan-Philippines Symposium on Analysis, which was held at Kaohsiung, Taiwan on March 31 - April 3, 2014 through the travel support of the conference organizers.	en_US
dc.language.iso	en	en_US
dc.subject	shape gradient	en_US
dc.subject	shape Hessian	en_US
dc.subject	Kohn-Vogelius objective functional	en_US
dc.subject	Dirichlet boundary value problem	en_US
dc.subject	Robin boundary value problem	en_US
dc.title	On the Shape Gradient and Shape Hessian of a Shape Functional Subject to Dirichlet and Robin Conditions	en_US
dc.type	Article	en_US