Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: eigen-structure analysis based on Fourier approach

DOI10.1016/j.jcp.2012.10.020zbMath1291.65299OpenAlexW2082890708MaRDI QIDQ2249361

Xinghui Zhong, Jing-Mei Qiu, Wei Guo

Publication date: 1 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.10.020

zbMATH Keywords

discontinuous Galerkin methodsuperconvergencelocal discontinuous Galerkin methodeigen-structureFourier approachdispersion and dissipation error

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Hyperbolic equations and hyperbolic systems (35L99) Parabolic equations and parabolic systems (35K99)

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