Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations

DOI10.1137/110857647zbMath1276.65055OpenAlexW2049351608MaRDI QIDQ4907153

Chi-Wang Shu, Yang Yang

Publication date: 4 March 2013

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

Full work available at URL: https://doi.org/10.1137/110857647

zbMATH Keywords

error estimatesfinite element methodnumerical experimentsdiscontinuous Galerkin methodsuperconvergenceRadau pointslinear conservation lawscell averageinitial discretization

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) 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) Initial-boundary value problems for first-order hyperbolic equations (35L04)

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