On reinitializing level set functions

DOI10.1016/j.jcp.2009.12.032zbMath1188.65122OpenAlexW2112489823MaRDI QIDQ964279

Chohong Min

Publication date: 15 April 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.12.032

zbMATH Keywords

absolute stabilityRunge-Kutta methodlevel set methodGauss-Seidel iterationfinite differenceforward Euler methodessentially non-oscillatoryreinitializationsemi-discrete system

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Cites Work

• Unnamed Item
• Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations
• Second-order accurate computation of curvatures in a level set framework using novel high-order reinitialization schemes
• ENO schemes with subcell resolution
• A second order accurate level set method on non-graded adaptive Cartesian grids
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• A level set approach for computing solutions to incompressible two-phase flow
• A remark on computing distance functions
• An improved level set method for incompressible two-phase flows
• Redistancing by flow of time dependent eikonal equation
• Two Approximations of Solutions of Hamilton-Jacobi Equations
• The Nonconvex Multidimensional Riemann Problem for Hamilton–Jacobi Equations
• An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow
• Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations
• A fast marching level set method for monotonically advancing fronts.

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