Keywords
shape optimization
free boundary value problems
métodos variacionales para valores propios
optimización de forma
problemas de frontera libre
How to Cite
Abstract
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.References
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