ON THE DESIGN OF MEMBRANES WITH INCREASING FUNDAMENTAL FREQUENCY
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| Format: | Artículo científico |
| Language: | en |
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Universidad de Costa Rica
2014
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| author | RAÚL B. GONZÁLEZ DE PAZ |
| author_facet | RAÚL B. GONZÁLEZ DE PAZ |
| contents | ON THE DESIGN OF MEMBRANES WITH INCREASING FUNDAMENTAL FREQUENCY RAÚL B. GONZÁLEZ DE PAZ Física, Astronomía y Matemáticas shape optimization free boundary value problems variational methods for eigenvalues 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 fun- damental 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. 2014 artículo científico 1409-2433 https://www.redalyc.org/articulo.oa?id=45331281004 en http://www.redalyc.org/revista.oa?id=453 Revista de Matemática: Teoría y Aplicaciones application/pdf Universidad de Costa Rica Revista de Matemática: Teoría y Aplicaciones (Costa Rica) Num.1 Vol.21 |
| format | Artículo científico |
| id | redalyc_45331281004 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad de Costa Rica |
| spellingShingle | ON THE DESIGN OF MEMBRANES WITH INCREASING FUNDAMENTAL FREQUENCY RAÚL B. GONZÁLEZ DE PAZ Física, Astronomía y Matemáticas shape optimization free boundary value problems variational methods for eigenvalues ON THE DESIGN OF MEMBRANES WITH INCREASING FUNDAMENTAL FREQUENCY RAÚL B. GONZÁLEZ DE PAZ Física, Astronomía y Matemáticas shape optimization free boundary value problems variational methods for eigenvalues 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 fun- damental 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. 2014 artículo científico 1409-2433 https://www.redalyc.org/articulo.oa?id=45331281004 en http://www.redalyc.org/revista.oa?id=453 Revista de Matemática: Teoría y Aplicaciones application/pdf Universidad de Costa Rica Revista de Matemática: Teoría y Aplicaciones (Costa Rica) Num.1 Vol.21 |
| title | ON THE DESIGN OF MEMBRANES WITH INCREASING FUNDAMENTAL FREQUENCY |
| topic | Física, Astronomía y Matemáticas shape optimization free boundary value problems variational methods for eigenvalues |
| url | https://www.redalyc.org/articulo.oa?id=45331281004 |