On the design of membranes with increasing fundamental frequency
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| Auteur: | |
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| Format: | artículo original |
| Statut: | Versión publicada |
| Date de publication: | 2014 |
| Description: | By means of a relaxation approach, we study the shape design of a stiff inclusion with given area in a membrane in order to maximize its fundamental frequency. As an eigenvalue control problem, the fundamental frequency is a concave function of the control, which is not described by the membrane shape, but by an element in a function space. First order optimality conditions allow to describe the optimal shape by means of a free boundary value problem. |
| Pays: | Portal de Revistas UCR |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Langue: | Inglés |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/14138 |
| Accès en ligne: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/14138 |
| Mots-clés: | variational methods for eigenvalues shape optimization free boundary value problems métodos variacionales para valores propios optimización de forma problemas de frontera libre |