A Monge--Ampère-Solver for Free-Form Reflector Design

DOI10.1137/130938876zbMath1308.65183OpenAlexW2168123638MaRDI QIDQ2878973

J. van Roosmalen, C. R. Prins, Jan H. M. ten Thije Boonkkamp, Teus W. Tukker, Wilbert L. Ijzerman

Publication date: 5 September 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/52ff27ba-638b-4515-bae1-5a81b63728dd

zbMATH Keywords

Newton iterationnonlinear elliptic equationMonge-Ampère equationconvex solutionoptimal mass transportconcave solutionreflector designnonimaging opticswide stencilillumination opticstransport boundary

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Finite difference methods for boundary value problems involving PDEs (65N06) Geometric optics (78A05) Monge-Ampère equations (35J96)

Related Items (3)

A multigrid scheme for 3D Monge–Ampère equations ⋮ A Least-Squares Method for Optimal Transport Using the Monge--Ampère Equation ⋮ Solving the Monge–Ampère equations for the inverse reflector problem

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