Convergent approaches for the Dirichlet Monge-Ampère problem

DOI10.11948/20230104MaRDI QIDQ6615058

Hajri Imen, Fethi Ben Belgacem

Publication date: 8 October 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

fixed pointNewton methodMonge-Ampèrewide stencil

Mathematics Subject Classification ID

Finite difference methods for boundary value problems involving PDEs (65N06) Elliptic equations and elliptic systems (35J99)

Cites Work

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• Wide stencil finite difference schemes for the elliptic Monge-Ampère equation and functions of the eigenvalues of the Hessian
• An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization
• The Monge-Ampère equation: various forms and numerical solution
• The Bernstein problem for affine maximal hypersurfaces
• Equivalence of viscosity and weak solutions for the normalized \(p(x)\)-Laplacian
• Numerical methods for the hyperbolic Monge-Ampère equation based on the method of characteristics
• Convergence rates for discretized Monge-Ampère equations and quantitative stability of optimal transport
• Optimization approach for the Monge-Ampère equation
• Numerical methods for fully nonlinear elliptic equations of the Monge-Ampère type
• Optimal mass transport for registration and warping
• Convergent Finite Difference Solvers for Viscosity Solutions of the Elliptic Monge–Ampère Equation in Dimensions Two and Higher
• The Dirichlet problem for the convex envelope
• Moving Mesh Generation Using the Parabolic Monge–Ampère Equation
• COMPUTING THE CONVEX ENVELOPE USING A NONLINEAR PARTIAL DIFFERENTIAL EQUATION
• Mixed Finite Element Methods for the Fully Nonlinear Monge–Ampère Equation Based on the Vanishing Moment Method
• Complete affine hypersurfaces. Part I. The completeness of affine metrics
• Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution
• The affine Plateau problem
• Monotone discretization of the Monge–Ampère equation of optimal transport
• Cascadic Newton’s method for the elliptic Monge–Ampère equation
• Convergent Difference Schemes for Degenerate Elliptic and Parabolic Equations: Hamilton--Jacobi Equations and Free Boundary Problems
• Affine complete locally convex hypersurfaces
• The Monge-Ampère equation

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