A study of numerical methods for the level set approach

DOI10.1016/j.apnum.2006.07.022zbMath1115.65104OpenAlexW2160797932MaRDI QIDQ881505

Zhilin Li, Christopher M. Kuster, Pierre Alain Gremaud

Publication date: 30 May 2007

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.lib.ncsu.edu/resolver/1840.4/425

zbMATH Keywords

numerical exampleslevel set methodmoving curvesfast marching methodreinitialization methods

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

Application of local least squares finite element method (LLSFEM) in the interface capturing of two-phase flow systems ⋮ A direct reinitialization approach of level-set/splitting finite element method for simulating incompressible two-phase flows ⋮ Three-dimensional ghost-fluid large-scale numerical investigation on air explosion ⋮ A gradient augmented level set method for unstructured grids ⋮ A fully Lagrangian advection scheme

Cites Work

• Unnamed Item
• Spatially adaptive techniques for level set methods and incompressible flow
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• The fast construction of extension velocities in level set methods
• A numerical study of electro-migration voiding by evolving level set functions on a fixed Cartesian grid
• A level set approach for computing solutions to incompressible two-phase flow
• A hybrid method for moving interface problems with application to the Hele-Shaw flow
• A PDE-based fast local level set method
• Reactive autophobic spreading of drops.
• Imaging of location and geometry for extended targets using the response matrix
• A fast level set method for propagating interfaces
• An $\cal O(N)$ Level Set Method for Eikonal Equations
• Some Improvements of the Fast Marching Method
• Fast Marching Methods
• Total variation diminishing Runge-Kutta schemes
• Ordered Upwind Methods for Static Hamilton--Jacobi Equations: Theory and Algorithms
• Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations
• Fast methods for the Eikonal and related Hamilton– Jacobi equations on unstructured meshes
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• Efficient algorithms for globally optimal trajectories
• Computational Study of Fast Methods for the Eikonal Equation

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