Error Estimates for the Runge–Kutta Discontinuous Galerkin Method for the Transport Equation with Discontinuous Initial Data

DOI10.1137/060668936zbMath1178.65107OpenAlexW2045474960MaRDI QIDQ3631920

Johnny Guzmán, Bernardo Cockburn

Publication date: 22 June 2009

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

Full work available at URL: https://doi.org/10.1137/060668936

zbMATH Keywords

error estimatesnumerical experimentshyperbolic problemsRunge-Kutta discontinuous Galerkin methodnonsmooth solutions

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) PDEs with low regular coefficients and/or low regular data (35R05) 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)

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