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

Superconvergence of Local Discontinuous Galerkin methods for one-dimensional linear parabolic equations

(2015) Waixiang Cao et al.   MATHEMATICS OF COMPUTATION

Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations

(2015) Hailiang Liu   MATHEMATICS OF COMPUTATION

Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations

(2015) Waixiang Cao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Is 2k-Conjecture Valid for Finite Volume Methods?

(2015) Waixiang Cao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

The Entropy Satisfying Discontinuous Galerkin Method for Fokker–Planck equations

(2014) Hailiang Liu et al.   JOURNAL OF SCIENTIFIC COMPUTING

Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations

(2014) Waixiang Cao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Maximum-Principle-Satisfying Third Order Discontinuous Galerkin Schemes for Fokker--Planck Equations

(2014) Hailiang Liu et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection–diffusion equations on triangular meshes

(2012) Yifan Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The highest order superconvergence for bi-$k$ degree rectangular elements at nodes: A proof of $2k$-conjecture

(2012) Chuanmiao Chen et al.   MATHEMATICS OF COMPUTATION

Recovery of normal derivatives from the piecewise L2 projection

(2011) Yunqing Huang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems

(2009) Hailiang Liu et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS