A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation

DOI10.1137/0728006zbMath0729.65085OpenAlexW2092436849MaRDI QIDQ3355187

Todd E. Peterson

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1137/0728006

zbMATH Keywords

convergencenumerical examplediscontinuous Galerkin methoderror estimatefirst-order hyperbolic equation

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Initial-boundary value problems for first-order hyperbolic systems (35L50)

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