Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations.

Authors :: Cao, Waixiang
Liu, Hailiang
Zhang, Zhimin
Source :: Numerical Methods for Partial Differential Equations; Jan2017, Vol. 33 Issue 1, p290-317, 28p
Publication Year :: 2017
Abstract: This paper is concerned with superconvergence properties of the direct discontinuous Galerkin (DDG) method for one-dimensional linear convection-diffusion equations. We prove, under some suitable choice of numerical fluxes and initial discretization, a 2 k-th and [ABSTRACT FROM AUTHOR]

Subjects :: STOCHASTIC convergence
GALERKIN methods
TRANSPORT equation
DISCRETIZATION methods
FOKKER-Planck equation

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