On the Connection Between the Spectral Difference Method and the Discontinuous Galerkin Method
Georg May 1*1 Aachen Institute for Advanced Study in Computational Engineering Sciences, RWTH Aachen University, Schinkelstr. 2, 52062 Aachen, Germany.
Received 9 February 2010; Accepted (in revised version) 4 June 2010
Available online 10 November 2010
In this short note we present a derivation of the Spectral Difference Scheme from a Discontinuous Galerkin (DG) discretization of a nonlinear conservation law. This allows interpretation of the Spectral Difference Scheme as a particular discretization under the quadrature-free nodal DG paradigm. Moreover, it enables identification of the key differences between the Spectral Difference Scheme and standard nodal DG schemes.AMS subject classifications: 65N30, 65N99, 65M60, 65M99
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Key words: Spectral difference method, discontinuous Galerkin method, hyperbolic conservation laws, quadrature-free schemes, nodal schemes.
Email: firstname.lastname@example.org (G. May)