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A Simple Explanation of Superconvergence for Discontinuous Galerkin Solutions to ut+ux=0

  • Philip Roe (a1)
Abstract
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.

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*Corresponding author. Email address: philroe@umich.edu (P. L. Roe)
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Communicated by Chi-Wang Shu
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Communications in Computational Physics
  • ISSN: 1815-2406
  • EISSN: 1991-7120
  • URL: /core/journals/communications-in-computational-physics
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