| DC Field | Value | Language |
|---|
| 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 |
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