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Volume 9, Issue 4
On the Connection Between the Spectral Difference Method and the Discontinuous Galerkin Method

Georg May

DOI: 10.4208/cicp.090210.040610a

Commun. Comput. Phys., 9 (2011), pp. 1071-1080.

Published online: 2011-09

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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.

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@Article{CiCP-9-1071, author = {Georg May}, title = {On the Connection Between the Spectral Difference Method and the Discontinuous Galerkin Method}, journal = {Communications in Computational Physics}, year = {2011}, volume = {9}, number = {4}, pages = {1071--1080}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.090210.040610a}, url = {http://global-sci.org/intro/article_detail/cicp/7536.html} }
TY - JOUR T1 - On the Connection Between the Spectral Difference Method and the Discontinuous Galerkin Method AU - Georg May JO - Communications in Computational Physics VL - 4 SP - 1071 EP - 1080 PY - 2011 DA - 2011/09 SN - 9 DO - http://doi.org/10.4208/cicp.090210.040610a UR - https://global-sci.org/intro/article_detail/cicp/7536.html KW - AB -

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.

Georg May. (2011). On the Connection Between the Spectral Difference Method and the Discontinuous Galerkin Method. Communications in Computational Physics. 9 (4). 1071-1080. doi:10.4208/cicp.090210.040610a
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