A New hp-Adaptive DG Scheme for Conservation Laws Based on Error Control

A. Dedner () and M. Ohlberger ()
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A. Dedner: Universität Freiburg, Mathematisches Institut
M. Ohlberger: Universität Freiburg, Mathematisches Institut

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 187-198 from Springer

Abstract: In this contribution we present a new hp-adaptive Discontinuous Galerkin approximation for scalar conservation laws. The hp-adaptivity of the scheme is based on a rigorous a posteriori error estimate for a generalized class of Discontinuous Galerkin schemes presented in [DMO06]. Numerical experiments demonstrate the efficiency and stability of the scheme in multiple space dimensions.

Keywords: Posteriori Error; Smooth Initial Data; Discontinuous Galerkin Scheme; Discontinuous Galerkin Approximation; Runge Kutta Discontinuous Galerkin Method (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_15

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DOI: 10.1007/978-3-540-75712-2_15

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