Fourier Type Super Convergence Study on DDGIC and Symmetric DDG Methods

Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model

(2017) Xingjie Helen Li et al.   JOURNAL OF SCIENTIFIC COMPUTING

Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes

(2016) Zheng Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Direct Discontinuous Galerkin Method and Its Variations for Second Order Elliptic Equations

(2016) Hongying Huang et al.   JOURNAL OF SCIENTIFIC COMPUTING

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

(2016) Waixiang Cao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations

(2013) Chad Vidden et al.   JOURNAL OF COMPUTATIONAL MATHEMATICS

Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: Eigen-structure analysis based on Fourier approach

(2012) Wei Guo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations

(2012) Jue Yan   JOURNAL OF SCIENTIFIC COMPUTING

Numerical resolution of discontinuous Galerkin methods for time dependent wave equations

(2011) Xinghui Zhong et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Central local discontinuous galerkin methods on overlapping cells for diffusion equations

(2011) Yingjie Liu et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Fourier Type Error Analysis of the Direct Discontinuous Galerkin Method and Its Variations for Diffusion Equations

(2011) Mengping Zhang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Superconvergence of local discontinuous Galerkin methods for one-dimensional convection–diffusion equations

(2009) Yingda Cheng et al.   COMPUTERS & STRUCTURES

L2stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods

(2008) Yingjie Liu et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Discontinuous Galerkin methods for the chemotaxis and haptotaxis models

(2008) Yekaterina Epshteyn   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Superconvergence and time evolution of discontinuous Galerkin finite element solutions

(2008) Yingda Cheng et al.   JOURNAL OF COMPUTATIONAL PHYSICS