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.