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Autor: Santosa, Fadil (Comienzo)
2 registros cumplieron la condición especificada en la base de información BIBCYT. ()
Registro 1 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Wang, Jing ; Gulliver, Robert ; Santosa, Fadil
Título: Analysis of a Variational Approach to Progressive Lens Design
Páginas/Colación: pp. 277 - 296
Url: Ir a http://epubs.siam.org/sam-bin/dbq/article/40894http://epubs.siam.org/sam-bin/dbq/article/40894
SIAM Journal on Applied Mathematics Vol. 64, no. 1 Oct./Dec. 2003
Información de existenciaInformación de existencia

Resumen
Flow and transport phenomena occurring within serpentine microchannels are analyzed for both two- and three-dimensional curvilinear configurations

 

We consider a variational approach to the progressive lens design problem. The corresponding Euler--Lagrange equation is a fourth-order nonlinear elliptic partial differential equation. We analyze two linearizations of the equation and show the existence and uniqueness as well as the regularity of the solutions for various boundary conditions. We end with an example of a progressive lens designed by solving the elliptic partial differential equation.

Registro 2 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Dobson, David C. ; Santosa, Fadil
Título: Optimal Localization of Eigenfunctions in an Inhomogeneous Medium
Páginas/Colación: pp. 762-774
Url: Ir a http://epubs.siam.org/sam-bin/dbq/article/42616http://epubs.siam.org/sam-bin/dbq/article/42616
SIAM Journal on Applied Mathematics Vol. 64, no. 3 March/April 2004
Información de existenciaInformación de existencia

Resumen
The problem of creating eigenfunctions which are localized arises in the study of photonic bandgap structures. A model problem, that of finding material inhomogeneity in a domain so that one of its Dirichlet eigenfunctions is localized, is considered in this work. The most difficult aspect, that of formulating the problem, is described, and well-posed variational problems are given. A computational approach, based on gradient descent with projection and trajectory continuation, is devised to solve the optimization problem. Numerical examples are provided which demonstrate the capability of the computational method. Key words. mode localization, optimal design, defect modes

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno

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