Article citationsMore>>

Liu, H. (2015) Optimal Error Estimate of DDG for Convection-Diffusion Equations. Math. Comp, 2263-2295. https://doi.org/10.1090/S0025-5718-2015-02923-8

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.