A nonlinear least-squares convexity enforcing \(C^0\) interior penalty method for the Monge-Ampère equation on strictly convex smooth planar domains

L.-Y. Sung, Susanne C. Brenner, Zhiyu Tan, Hongchao Zhang

Publication date: 1 November 2024

Published in: Communications of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Monge-Ampère equation active set algorithm nonlinear least-squares isoparametric \(C^0\) interior penalty method \textit{a priori} and \textit{a posteriori} error estimates convexity enforcing enhanced cubic Lagrange finite elements strictly convex smooth domains

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Error bounds for boundary value problems involving PDEs (65N15) Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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