Benchmark 3D: The Compact Discontinuous Galerkin 2 Scheme
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- Klöfkorn R. (2011) Benchmark 3D: The Compact Discontinuous Galerkin 2 Scheme. In: Fořt J., Fürst J., Halama J., Herbin R., Hubert F. (eds) Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Proceedings in Mathematics, vol 4. Springer, Berlin, Heidelberg
In this paper we provide results for the 3d Benchmark on Anisotropic Diffusion Problems. We consider the Compact Discontinuous Galerkin 2 (CDG2) method first presented in . In  a detailed stability analysis as well as a numerical investigation showing that the CDG2 method outperforms other DG methods (e.g. Bassi–Rebay 2, symmetric Interior Penalty, or the original Compact Discontinuous Galerkin Method, see [1, 3] and references therein) in terms of L2–accuracy versus computational time. Furthermore, the CDG2 method is a parameter free method in the sense that all tests have been calculated with the same set of parameters without specific test case tuning.
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