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Inverse design method for generalized zero-étendue sources and two targets
P. A. Braam, J. H. M. ten Thije Boonkkamp, M. J. H. Anthonissen, K. Mitra, L. Kusch and W. L. IJzerman Journal of the Optical Society of America A 43(3) 464 (2026) https://doi.org/10.1364/JOSAA.584917
Inverse freeform design in non-imaging optics: Hamilton’s theory of geometrical optics, optimal transport, and least-squares solvers
J. H. M. ten Thije Boonkkamp, K. Mitra, M. J. H. Anthonissen, L. Kusch, P. A. Braam and W. L. IJzerman Frontiers in Physics 13 (2025) https://doi.org/10.3389/fphy.2025.1518660
Mathematical model for inverse freeform design of a point-to-point two-reflector system
P. A. Braam, J. H. M. ten Thije Boonkkamp, M. J. H. Anthonissen, R. Beltman and W. L. IJzerman Journal of the Optical Society of America A 41(11) 2156 (2024) https://doi.org/10.1364/JOSAA.532313
A nonlinear least-squares convexity enforcing 𝐶⁰ interior penalty method for the Monge–Ampère equation on strictly convex smooth planar domains
Susanne Brenner, Li-yeng Sung, Zhiyu Tan and Hongchao Zhang Communications of the American Mathematical Society 4(14) 607 (2024) https://doi.org/10.1090/cams/39
Hybridizable Discontinuous Galerkin Methods for the Two-Dimensional Monge–Ampère Equation
Unified mathematical framework for a class of fundamental freeform optical systems
Martijn J. H. Anthonissen, Lotte B. Romijn, Jan H. M. ten Thije Boonkkamp and Wilbert L. IJzerman Optics Express 29(20) 31650 (2021) https://doi.org/10.1364/OE.438920
A convexity enforcing $${C}^{{0}}$$ interior penalty method for the Monge–Ampère equation on convex polygonal domains
Alexandre Caboussat, Roland Glowinski, Dimitrios Gourzoulidis and Marco Picasso SIAM Journal on Scientific Computing 41(6) B1341 (2019) https://doi.org/10.1137/19M1243683
A Monge–Ampère Problem with Non-quadratic Cost Function to Compute Freeform Lens Surfaces
An Alternating Direction Method of Multipliers for the Numerical Solution of a Fully Nonlinear Partial Differential Equation Involving the Jacobian Determinant
Alexandre Caboussat and Roland Glowinski SIAM Journal on Scientific Computing 40(1) A52 (2018) https://doi.org/10.1137/16M1094075
Jan ten Thije Boonkkamp, Wilbert IJzerman, Lotte Romijn, Nitin Yadav, Tina E. Kidger and Stuart David 9 (2018) https://doi.org/10.1117/12.2313220
Splitting Methods in Communication, Imaging, Science, and Engineering
A New Augmented Lagrangian Approach for $L^1$-mean Curvature Image Denoising
M. Myllykoski, R. Glowinski, T. Kärkkäinen and T. Rossi SIAM Journal on Imaging Sciences 8(1) 95 (2015) https://doi.org/10.1137/140962164
A Least-Squares Method for Optimal Transport Using the Monge--Ampère Equation
C. R. Prins, R. Beltman, J. H. M. ten Thije Boonkkamp, W. L. IJzerman and T. W. Tukker SIAM Journal on Scientific Computing 37(6) B937 (2015) https://doi.org/10.1137/140986414
Numerical Mathematics and Advanced Applications - ENUMATH 2013
Alexandre Caboussat and Roland Glowinski Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications - ENUMATH 2013 103 143 (2015) https://doi.org/10.1007/978-3-319-10705-9_14
Modeling, Simulation and Optimization for Science and Technology
Alexandre Caboussat Computational Methods in Applied Sciences, Modeling, Simulation and Optimization for Science and Technology 34 23 (2014) https://doi.org/10.1007/978-94-017-9054-3_2