Two-scale method for the Monge–Ampère equation: pointwise error estimates

DOI10.1093/imanum/dry026zbMath1466.65198arXiv1706.09113OpenAlexW2963008181MaRDI QIDQ5854348

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Publication date: 16 March 2021

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09113

zbMATH Keywords

monotoneerror estimatescontinuous dependencedegenerateMonge-Ampèretwo-scale methodclassical and viscosity solutions

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Viscosity solutions to PDEs (35D40) Monge-Ampère equations (35J96)

Related Items (7)

Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution ⋮ A narrow-stencil framework for convergent numerical approximations of fully nonlinear second order PDEs ⋮ Numerical methods for fully nonlinear and related PDEs. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting) ⋮ Cascadic Newton’s method for the elliptic Monge–Ampère equation ⋮ A convexity enforcing \(C^0\) interior penalty method for the Monge-Ampère equation on convex polygonal domains ⋮ A Narrow-stencil Finite Difference Method for Approximating Viscosity Solutions of Hamilton--Jacobi--Bellman Equations ⋮ Two-scale methods for convex envelopes

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