On the design of membranes with increasing fundamental frequency

 

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Bibliografiska uppgifter
Upphovsman: González De Paz, Raúl B.
Materialtyp: artículo original
Status:Versión publicada
Utgivningstid:2014
Beskrivning: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.
Land:Portal de Revistas UCR
Organisation:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Språk:Inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/14138
Länkar:https://revistas.ucr.ac.cr/index.php/matematica/article/view/14138
Nyckelord:variational methods for eigenvalues
shape optimization
free boundary value problems
métodos variacionales para valores propios
optimización de forma
problemas de frontera libre