High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations^†

DOI10.4208/cicp.2019.js60.15zbMath1473.65114OpenAlexW2969672451MaRDI QIDQ5161710

Yue Li, Yinhua Xia, Chi-Wang Shu, Juan Cheng

Publication date: 1 November 2021

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

Full work available at URL: https://doi.org/10.4208/cicp.2019.js60.15

zbMATH Keywords

finite difference methodHamilton-Jacobi equationALE methodWENO method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hamilton-Jacobi equations (35F21)

Related Items (9)

High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations ⋮ On moving mesh WENO schemes with characteristic boundary conditions for Hamilton-Jacobi equations ⋮ A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow ⋮ A class of non-oscillatory direct-space-time schemes for hyperbolic conservation laws ⋮ A Sufficient and Necessary Condition of the Existence of WENO-Like Linear Combination for Finite Difference Schemes ⋮ A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems ⋮ A Hybrid WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems ⋮ A high order positivity-preserving conservative WENO remapping method based on a moving mesh solver ⋮ Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations

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