A Discontinuous Galerkin Moving Mesh Method for Hamilton–Jacobi Equations

DOI10.1137/060656243zbMath1171.35307OpenAlexW2119830205MaRDI QIDQ3545244

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Publication date: 10 December 2008

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060656243

zbMATH Keywords

Hamilton-Jacobi equationsAdaptivityDiscontinuous GalerkinMoving meshes

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) 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) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (5)

A Study on CFL Conditions for the DG Solution of Conservation Laws on Adaptive Moving Meshes ⋮ An arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for Hamilton-Jacobi equations ⋮ A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws ⋮ High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations^† ⋮ Improving the accuracy of LDG approximations on coarse meshes

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