A convergence framework for optimal transport on the sphere
DOI10.1007/s00211-022-01292-1OpenAlexW3133940505WikidataQ114231018 ScholiaQ114231018MaRDI QIDQ2149060
Axel G. R. Turnquist, Brittany Froese Hamfeldt
Publication date: 28 June 2022
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.05739
Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05) Viscosity solutions to PDEs (35D40) Monge-Ampère equations (35J96) Numerical analysis (65-XX)
Related Items (2)
Cites Work
- A sparse multiscale algorithm for dense optimal transport
- Numerical solution of the optimal transportation problem using the Monge-Ampère equation
- On the Ma-Trudinger-Wang curvature on surfaces
- On the regularity of solutions of optimal transportation problems
- Regularity of optimal maps on the sphere: the quadratic cost and the reflector antenna
- Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation
- Wide stencil finite difference schemes for the elliptic Monge-Ampère equation and functions of the eigenvalues of the Hessian
- Higher-order adaptive finite difference methods for fully nonlinear elliptic equations
- Convergent approximation of non-continuous surfaces of prescribed Gaussian curvature
- Meshfree finite difference approximations for functions of the eigenvalues of the Hessian
- On the design of a reflector antenna. II
- Approximation of viscosity solutions of elliptic partial differential equations on minimal grids
- A convergent finite difference method for computing minimal Lagrangian graphs
- Inverse reflector design for a point source and far-field target
- A convergent finite difference method for optimal transport on the sphere
- A Monge-Ampère problem with non-quadratic cost function to compute freeform lens surfaces
- A Numerical Method for the Elliptic Monge--Ampère Equation with Transport Boundary Conditions
- Convergent Finite Difference Solvers for Viscosity Solutions of the Elliptic Monge–Ampère Equation in Dimensions Two and Higher
- A Least-Squares Method for Optimal Transport Using the Monge--Ampère Equation
- A Numerical Algorithm forL2Semi-Discrete Optimal Transport in 3D
- User’s guide to viscosity solutions of second order partial differential equations
- Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution
- Convergence Framework for the Second Boundary Value Problem for the Monge--Ampère Equation
- Optimal-Transport--Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements
- Improved Accuracy of Monotone Finite Difference Schemes on Point Clouds and Regular Grids
- Minimal convex extensions and finite difference discretisation of the quadratic Monge–Kantorovich problem
- Optimal Transport via a Monge--Ampère Optimization Problem
- Convergent Difference Schemes for Degenerate Elliptic and Parabolic Equations: Hamilton--Jacobi Equations and Free Boundary Problems
- Monotone and consistent discretization of the Monge-Ampère operator
- Unnamed Item
- Unnamed Item
This page was built for publication: A convergence framework for optimal transport on the sphere
