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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
A high-order numerical scheme for stochastic optimal control problem
Error estimation for second‐order partial differential equations in nonvariational form
Jan Blechschmidt, Roland Herzog and Max Winkler Numerical Methods for Partial Differential Equations 37(3) 2190 (2021) https://doi.org/10.1002/num.22678
A recovery-based linear C0 finite element method for a fourth-order singularly perturbed Monge-Ampère equation
Michael Neilan, Abner J. Salgado and Wujun Zhang Handbook of Numerical Analysis, Geometric Partial Differential Equations - Part I 21 105 (2020) https://doi.org/10.1016/bs.hna.2019.05.003
A Finite Element/Operator-Splitting Method for the Numerical Solution of the Three Dimensional Monge–Ampère Equation
Solving the Monge–Ampère equations for the inverse reflector problem
Kolja Brix, Yasemin Hafizogullari and Andreas Platen Mathematical Models and Methods in Applied Sciences 25(05) 803 (2015) https://doi.org/10.1142/S0218202515500190
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
Quadratic Finite Element Approximations of the Monge-Ampère Equation
A least-squares method for the numerical solution of the Dirichlet problem for the elliptic monge − ampère equation in dimension two
Alexandre Caboussat, Roland Glowinski and Danny C. Sorensen ESAIM: Control, Optimisation and Calculus of Variations 19(3) 780 (2013) https://doi.org/10.1051/cocv/2012033