Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations

DOI10.1137/130946873zbMath1331.65128arXiv1311.6938OpenAlexW118329571MaRDI QIDQ5174908

Zhimin Zhang, Waixiang Cao, Qingsong Zou

Publication date: 19 February 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6938

zbMATH Keywords

numerical examplesdiscontinuous Galerkin methodsuperconvergenceRadau pointslinear hyperbolic equationscell averageinitial discretization

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) Second-order hyperbolic equations (35L10)

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