Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution (Q4561366)

scientific article; zbMATH DE number 6989559

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English	Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution	scientific article; zbMATH DE number 6989559

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instance of

scholarly article

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title

Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution (English)

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published in

Mathematics of Computation

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publication date

5 December 2018

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full work available at URL

https://arxiv.org/abs/1706.06193

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zbMATH Keywords

Monge-Ampère equation

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viscosity solution

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two-scale method

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monotone scheme

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convergence

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regularization

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describes a project that uses

FELICITY

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MaRDI profile type

MaRDI publication profile

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cites work

On Convex Functions and the Finite Element Method

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Convergence rate of a stable, monotone and consistent scheme for the Monge-Ampère equation

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Standard finite elements for the numerical resolution of the elliptic Monge–Ampère equation: Aleksandrov solutions

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Q3355178

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Monotone and consistent discretization of the Monge-Ampère operator

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Two Numerical Methods for the elliptic Monge-Ampère equation

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Q4830373

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Smooth exhaustion functions in convex domains

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The Mathematical Theory of Finite Element Methods

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𝒞⁰ penalty methods for the fully nonlinear Monge-Ampère equation

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The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation

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Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations

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User’s guide to viscosity solutions of second order partial differential equations

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An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions

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Q3526601

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Second order stability for the Monge-Ampère equation and strong Sobolev convergence of optimal transport maps

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The Monge–Ampère equation and its link to optimal transportation

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Q3994935

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Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations

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Convergent Semi-Lagrangian Methods for the Monge--Ampère Equation on Unstructured Grids

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Mixed Finite Element Methods for the Fully Nonlinear Monge–Ampère Equation Based on the Vanishing Moment Method

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Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations

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

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Convergent Finite Difference Solvers for Viscosity Solutions of the Elliptic Monge–Ampère Equation in Dimensions Two and Higher

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The Monge-Ampère equation

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The Primal-Dual Active Set Strategy as a Semismooth Newton Method

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Viscosity solutions of fully nonlinear second-order elliptic partial differential equations

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Discretization of the 3d monge−ampere operator, between wide stencils and power diagrams

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

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Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation

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Convergent Difference Schemes for Degenerate Elliptic and Parabolic Equations: Hamilton--Jacobi Equations and Free Boundary Problems

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The convex envelope is the solution of a nonlinear obstacle problem

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On the numerical solution of the equation \(\frac{\partial ^ 2z\partial ^ 2z}{\partial x^ 2\partial y^ 2}-(\frac{\partial ^ 2z}{\partial x\partial y})^ 2=f\) and its discretizations. I

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Boundary regularity for the Monge-Ampère and affine maximal surface equations

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Conforming approximation of convex functions with the finite element method

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FELICITY: A Matlab/C++ Toolbox for Developing Finite Element Methods and Simulation Modeling

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Identifiers

zbMATH Open document ID

1405.65154

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DOI

10.1090/mcom/3353

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4561366