On the numerical solution of the far field refractor problem. (July 2017)

• Record Type: Journal Article
• Authors: De Leo, Roberto; Gutiérrez, Cristian E.; Mawi, Henok
• Is Part Of: Nonlinear analysis. Volume 157(2017)
• Page Start: 123
• Page End: 145
• Publication Date: 2017-07
• Subjects: Geometric pdes and optics -- Lipschitz estimates -- Numerical analysis; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2017.03.009
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: The far field refractor problem with a discrete target is solved with a numerical scheme that uses and simplify ideas from Caffarelli et al. (1999). A numerical implementation is carried out and examples are shown.