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• W2082525750 abstract "In this manuscript we investigate the global convergence of the implicit residual-based a posteriori error estimates of Adjerid et al. (2002) [3]. The authors used the discontinuous Galerkin method to solve one-dimensional transient hyperbolic problems and showed that the local error on each element is proportional to a Radau polynomial. The discontinuous Galerkin error estimates under investigation are computed by solving a local steady problem on each element. Here we prove that, for smooth solutions, these a posteriori error estimates at a fixed time t converge to the true spatial error in the L2 norm under mesh refinement." @default.
• W2082525750 created "2016-06-24" @default.
• W2082525750 creator A5050429209 @default.
• W2082525750 creator A5068341694 @default.
• W2082525750 date "2010-09-01" @default.
• W2082525750 modified "2023-10-18" @default.
• W2082525750 title "Asymptotically exact a posteriori error estimates for a one-dimensional linear hyperbolic problem" @default.
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• W2082525750 doi "https://doi.org/10.1016/j.apnum.2010.04.014" @default.
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