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Yan, J. and Liu, H. (2010) The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections. Commun. Comput. Phys, 541-564. https://doi.org/10.4208/cicp.010909.011209a

has been cited by the following article:

• TITLE: The Error Estimates of Direct Discontinuous Galerkin Methods Based on Upwind-Baised Fluxes

  AUTHORS: Hui Bi, Yixin Chen

  KEYWORDS: Direct Discontinuous Galerkin Methods, Global Projection, Error Estimates, The Upwind-Biased Fluxes

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.12, December 22, 2020

  ABSTRACT: In this paper, we study the error estimates for direct discontinuous Galerkin methods based on the upwind-biased fluxes. We use a newly global projection to obtain the optimal error estimates. The numerical experiments imply that L2norms error estimates can reach to order k + 1 by using time discretization methods.