Analysis of a variational approach to progressive lens design

Jing Wang; Robert D Gulliver; Fadil Santosa

doi:10.1137/S0036139902408941

Analysis of a variational approach to progressive lens design

Jing Wang, Robert D Gulliver, Fadil Santosa

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	277-296
Number of pages	20
Journal	SIAM Journal on Applied Mathematics
Volume	64
Issue number	1
DOIs	https://doi.org/10.1137/S0036139902408941
State	Published - Oct 1 2003

Keywords

Fourth-order boundary value problems
Progressive lens
Well-posedness

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10.1137/S0036139902408941

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KW - Progressive lens

KW - Well-posedness

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Analysis of a variational approach to progressive lens design

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