On the design of membranes with increasing fundamental frequency
Gorde:
| Egilea: | |
|---|---|
| Formatua: | artículo original |
| Egoera: | Versión publicada |
| Argitaratze data: | 2014 |
| Deskribapena: | 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. |
| Herria: | Portal de Revistas UCR |
| Erakundea: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Hizkuntza: | Inglés |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/14138 |
| Sarrera elektronikoa: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/14138 |
| Gako-hitza: | variational methods for eigenvalues shape optimization free boundary value problems métodos variacionales para valores propios optimización de forma problemas de frontera libre |