On the design of membranes with increasing fundamental frequency
محفوظ في:
| المؤلف: | |
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| التنسيق: | artículo original |
| الحالة: | Versión publicada |
| تاريخ النشر: | 2014 |
| الوصف: | 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. |
| البلد: | Portal de Revistas UCR |
| المؤسسة: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| اللغة: | Inglés |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/14138 |
| الوصول للمادة أونلاين: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/14138 |
| كلمة مفتاحية: | variational methods for eigenvalues shape optimization free boundary value problems métodos variacionales para valores propios optimización de forma problemas de frontera libre |