An <em>h</em>-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations

DOI10.4208/NMTMA.2013.1235NMzbMath1299.65241OpenAlexW2415406009MaRDI QIDQ4980823

Jianxian Qiu, Hongqiang Zhu

Publication date: 30 June 2014

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.2013.1235nm

zbMATH Keywords

Hamilton-Jacobi equationnumerical exampleshyperbolic conservation lawsmesh adaptationRunge-Kutta discontinuous Galerkin method\(h\)-adaptive method

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Hamilton-Jacobi equations (35F21)

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