Volume 21, Issue 4
A Simple Explanation of Superconvergence for Discontinuous Galerkin Solutions to ut+ux =0

Philip Roe

10.4208/cicp.OA-2016-0052

Commun. Comput. Phys., 21 (2017), pp. 905-912.

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  • Abstract

The superconvergent property of the Discontinuous Galerkin (DG) method for linear hyperbolic systems of partial differential equations in one dimension is explained by relating the DG method to a particular continuous method, whose accuracy depends in part on a local analysis, and in part on information transferred from upwind elements.

  • History

Published online: 2018-04

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