Numerical schemes for Hamilton-Jacobi equations on unstructured meshes

DOI10.1007/s00211-002-0418-9zbMath1029.65111OpenAlexW2064533130MaRDI QIDQ1402163

D. Massart

Publication date: 19 August 2003

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

Full work available at URL: https://doi.org/10.1007/s00211-002-0418-9

zbMATH Keywords

convergenceunstructured meshesHamilton-Jacobi equationsviscosity solutions

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (8)

High-order schemes for Hamilton--Jacobi equations on triangular meshes ⋮ 3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement ⋮ Robust three-dimensional level-set method for evolving fronts on complex unstructured meshes ⋮ \(N\)-soliton solutions of the nonisospectral generalized Sawada-Kotera equation ⋮ High order finite difference Hermite WENO schemes for the Hamilton-Jacobi equations on unstructured meshes ⋮ Propagation of graphs in two-dimensional inhomogeneous media ⋮ Hamilton–Jacobi equations on an evolving surface ⋮ A monotone scheme for Hamilton-Jacobi equations via the nonstandard finite difference method

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