Divided difference estimates and accuracy enhancement of discontinuous Galerkin methods for nonlinear symmetric systems of hyperbolic conservation laws

A priorierror estimates to smooth solutions of the third order Runge–Kutta discontinuous Galerkin method for symmetrizable systems of conservation laws

(2015) Juan Luo et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations

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

Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg–de Vries equation

(2013) Casey Hufford et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Smoothness-Increasing Accuracy-Conserving Filters for Discontinuous Galerkin Solutions over Unstructured Triangular Meshes

(2013) Hanieh Mirzaee et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Superconvergence of the local discontinuous Galerkin method for linear fourth-order time-dependent problems in one space dimension

(2012) X. Meng et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

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

Negative-Order Norm Estimates for Nonlinear Hyperbolic Conservation Laws

(2012) Liangyue Ji et al.   JOURNAL OF SCIENTIFIC COMPUTING

Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions

(2012) Liangyue Ji et al.   MATHEMATICS OF COMPUTATION

Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension

(2012) Xiong Meng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations

(2012) Yang Yang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Efficient Implementation of Smoothness-Increasing Accuracy-Conserving (SIAC) Filters for Discontinuous Galerkin Solutions

(2011) Hanieh Mirzaee et al.   JOURNAL OF SCIENTIFIC COMPUTING

A Superconvergent Local Discontinuous Galerkin Method for Elliptic Problems

(2011) Slimane Adjerid et al.   JOURNAL OF SCIENTIFIC COMPUTING

Discontinuous Galerkin error estimation for linear symmetrizable hyperbolic systems

(2011) Slimane Adjerid et al.   MATHEMATICS OF COMPUTATION

Smoothness-Increasing Accuracy-Conserving (SIAC) Postprocessing for Discontinuous Galerkin Solutions over Structured Triangular Meshes

(2011) Hanieh Mirzaee et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension

(2010) Yingda Cheng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws

(2010) Qiang Zhang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Discontinuous Galerkin error estimation for linear symmetric hyperbolic systems

(2009) Slimane Adjerid et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Superconvergent discontinuous Galerkin methods for second-order elliptic problems

(2008) Bernardo Cockburn et al.   MATHEMATICS OF COMPUTATION