High-order schemes for Hamilton--Jacobi equations on triangular meshes

DOI10.1016/j.cam.2003.09.051zbMath1058.65091OpenAlexW2034842251MaRDI QIDQ1877135

Yanyan Li

Publication date: 16 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.09.051

zbMATH Keywords

Hamilton-Jacobi equationnumerical examplesunstructured meshdiscontinuous solutionhigh-order accuracyENOweighted essentially nonoscillaotory schemes

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equations. II: Unstructured meshes, A sixth-order weighted essentially non-oscillatory schemes based on exponential polynomials for Hamilton-Jacobi equations, Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes, Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations, A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes, Flame surface density in turbulent premixed V-flame with buoyancy, A third-order WENO scheme based on exponential polynomials for Hamilton-Jacobi equations, New finite difference Hermite WENO schemes for Hamilton-Jacobi equations, Arc length-based WENO scheme for Hamilton-Jacobi equations

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