A posteriori error analysis of the discontinuous Galerkin method for two-dimensional linear hyperbolic conservation laws on Cartesian grids

DOI10.1007/s10915-016-0166-0zbMath1410.65352OpenAlexW2310522073MaRDI QIDQ333198

Mahboub Baccouch

Publication date: 28 October 2016

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0166-0

zbMATH Keywords

discontinuous Galerkin methoda posteriori error estimatelinear hyperbolic equations

Mathematics Subject Classification ID

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)

Related Items (6)

A Recovery-Based Error Estimator for the Discontinuous Galerkin Method for Transient Linear Hyperbolic Conservation Laws on Cartesian Grids ⋮ A Posteriori Error Estimates for a Local Discontinuous Galerkin Approximation of Semilinear Second-Order Elliptic Problems on Cartesian Grids ⋮ Optimal error estimates and superconvergence of an ultra weak discontinuous Galerkin method for fourth-order boundary-value problems ⋮ Optimal superconvergence and asymptotically exact \textit{a posteriori} error estimator for the local discontinuous Galerkin method for linear elliptic problems on Cartesian grids ⋮ Two efficient and reliable a posteriori error estimates for the local discontinuous Galerkin method applied to linear elliptic problems on Cartesian grids ⋮ Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation on Cartesian grids

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