A Numerical Method for the Elliptic Monge--Ampère Equation with Transport Boundary Conditions

DOI10.1137/110822372zbMath1252.65180arXiv1101.4981OpenAlexW2962678797MaRDI QIDQ2909272

Brittany D. Froese

Publication date: 30 August 2012

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4981

zbMATH Keywords

convergencefinite difference methodnumerical examplesMonge-Ampère equationviscosity solutionsoptimal mass transportelliptic partial differential equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Viscosity solutions to PDEs (35D40) Monge-Ampère equations (35J96)

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