Convergence of finite difference schemes to the Aleksandrov solution of the Monge-Ampère equation

DOI10.1007/s10440-016-0041-xzbMath1364.65220arXiv1507.08490OpenAlexW2252296894MaRDI QIDQ312548

Gerard Awanou, Romeo Awi

Publication date: 16 September 2016

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08490

zbMATH Keywords

convergenceMonge-Ampère equationdiscrete solutionAleksandrov solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Discrete version of topics in analysis (39A12) Finite difference methods for boundary value problems involving PDEs (65N06) Monge-Ampère equations (35J96)

Related Items (1)

Discrete Aleksandrov solutions of the Monge-Ampere equation

Cites Work

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• Convergent Finite Difference Solvers for Viscosity Solutions of the Elliptic Monge–Ampère Equation in Dimensions Two and Higher
• Convergent Difference Schemes for Degenerate Elliptic and Parabolic Equations: Hamilton--Jacobi Equations and Free Boundary Problems
• The Monge-Ampère equation

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