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

作　　者：Georg May 

机构地区：[1]Aachen Institute for Advanced Study in Computational Engineering Sciences,RWTH Aachen University,Schinkelstr.2,52062 Aachen,Germany

出　　处：《Communications in Computational Physics》2011年第4期1071-1080,共10页计算物理通讯（英文）

基　　金：Financial support from the Deutsche Forschungsgemeinschaft(German Research Association)through grant GSC 111;the Air Force Office of Scientific Research,Air Force Materiel Command,USAF,under grant number FA8655-08-1-3060,is gratefully acknowledged。

摘　　要：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.

关 键 词：Spectral difference method discontinuous Galerkin method hyperbolic conservation laws quadrature-free schemes nodal schemes 

分 类 号：O17[理学—数学]