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On the Connection Between the Spectral Difference Method and the Discontinuous Galerkin Method

Published online by Cambridge University Press:  20 August 2015

Georg May
Georg May*
Affiliation:
Aachen Institute for Advanced Study in Computational Engineering Sciences, RWTH Aachen University, Schinkelstr. 2, 52062 Aachen, Germany
*
*Corresponding author.Email:may@aices.rwth-aachen.de
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Abstract

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.

Keywords

65N3065N9965M6065M99Spectral difference methoddiscontinuous Galerkin methodhyperbolic conservation lawsquadrature-free schemesnodal schemes
Type
Short Note
Information
Communications in Computational Physics , Volume 9 , Issue 4 , April 2011 , pp. 1071 - 1080
Copyright
Copyright © Global Science Press Limited 2011

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