On the numerical solution of the far field refractor problem

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.

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Bibliographic Details
Published inNonlinear analysis Vol. 157; pp. 123 - 145
Main Authors De Leo, Roberto, Gutiérrez, Cristian E., Mawi, Henok
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.07.2017
Elsevier BV
Subjects
Geometric pdes and optics
Lipschitz estimates
Nonlinear equations
Numerical analysis
Solutions
Geometric pdes and optics
Numerical analysis
Lipschitz estimates
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Summary: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.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2017.03.009