Monotone discretizations of levelset convex geometric PDEs

DOI10.1007/s00211-024-01444-5MaRDI QIDQ6644038

Publication date: 27 November 2024

Published in: Numerische Mathematik (Search for Journal in Brave)

Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Monge-Kantorovich depth, quantiles, ranks and signs
A convergent monotone difference scheme for motion of level sets by mean curvature
Motion of level sets by mean curvature. I
Diffusion generated motion using signed distance functions
Wide stencil finite difference schemes for the elliptic Monge-Ampère equation and functions of the eigenvalues of the Hessian
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
Axioms and fundamental equations of image processing
Multidimensional medians arising from geodesics on graphs
A stochastic representation for mean curvature type geometric flows
A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows
A characterization of halfspace depth
A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
Boundary estimation from point clouds: algorithms, guarantees and applications
The limit shape of convex hull peeling
Quasiconvex functions and nonlinear PDEs
A PDE-based Approach to Nondominated Sorting
Optimal approximations by piecewise smooth functions and associated variational problems
PARETO ENVELOPES IN SIMPLE POLYGONS
Large-scale simulation of normal grain growth via diffusion-generated motion
Convergent Finite Difference Solvers for Viscosity Solutions of the Elliptic Monge–Ampère Equation in Dimensions Two and Higher
Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
Two Numerical Methods for the elliptic Monge-Ampère equation
Viscosity Solutions of Hamilton-Jacobi Equations
User’s guide to viscosity solutions of second order partial differential equations
Fast Marching Methods
Active contours without edges
Numerical methods for motion of level sets by affine curvature
Threshold dynamics for anisotropic surface energies
A fast sweeping method for Eikonal equations
A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature
A fast marching level set method for monotonically advancing fronts.
Convergent Filtered Schemes for the Monge--Ampère Partial Differential Equation
Rates of Convergence for the Continuum Limit of Nondominated Sorting
Tukey Depths and Hamilton--Jacobi Differential Equations
A Hamilton--Jacobi Equation for the Continuum Limit of Nondominated Sorting
Convergent Difference Schemes for Degenerate Elliptic and Parabolic Equations: Hamilton--Jacobi Equations and Free Boundary Problems
Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

This page was built for publication: Monotone discretizations of levelset convex geometric PDEs