An improvement of level set equations via approximation of a distance function

DOI10.1080/00036811.2018.1484911zbMath1416.35076OpenAlexW2809972020MaRDI QIDQ5227763

Nao Hamamuki

Publication date: 7 August 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/68267

zbMATH Keywords

level set methodsigned distance functionimproved level set equations

Mathematics Subject Classification ID

Initial value problems for nonlinear first-order PDEs (35F25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items (2)

A Dynamical Approach to Lower Gradient Estimates for Viscosity Solutions of Hamilton–Jacobi Equations ⋮ A deterministic game interpretation for fully nonlinear parabolic equations with dynamic boundary conditions

Cites Work

• A rigorous setting for the reinitialization of first order level set equations
• Motion of level sets by mean curvature. I
• A level set approach for computing solutions to incompressible two-phase flow
• Lower estimates of \(L^{\infty}\)-norm of gradients for Cauchy problems
• User’s guide to viscosity solutions of second order partial differential equations
• Phase transitions and generalized motion by mean curvature
• An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
• Lower-bound gradient estimates for first-order Hamilton-Jacobi equations and applications to the regularity of propagating fronts
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