An HDG method for convection diffusion equation

W Qiu, K Shi - Journal of Scientific Computing, 2016 - Springer
We present a new hybridizable discontinuous Galerkin (HDG) method for the convection
diffusion problem on general polyhedral meshes. This new HDG method is a generalization …

Analysis of an HDG method for linear elasticity

G Fu, B Cockburn, H Stolarski - International Journal for …, 2015 - Wiley Online Library
We present the first a priori error analysis for the first hybridizable discontinuous Galerkin
method for linear elasticity proposed in Internat. J. Numer. Methods Engrg. 80 (2009), no. 8 …

Analysis of variable-degree HDG methods for convection–diffusion equations. Part I: general nonconforming meshes

Y Chen, B Cockburn - IMA journal of numerical analysis, 2012 - academic.oup.com
In this paper the first error analyses of hybridizable discontinuous Galerkin (HDG) methods
for convection–diffusion equations for variable-degree approximations and nonconforming …

Analysis of variable-degree HDG methods for convection-diffusion equations. Part II: Semimatching nonconforming meshes

Y Chen, B Cockburn - Mathematics of Computation, 2014 - ams.org
In this paper, we provide a projection-based analysis of the $ h $-version of the hybridizable
discontinuous Galerkin methods for convection-diffusion equations on semimatching …

Superconvergence of discontinuous Galerkin methods for convection-diffusion problems

Z Zhang, Z Xie, Z Zhang - Journal of Scientific Computing, 2009 - Springer
Some discontinuous Galerkin methods for the linear convection-diffusion equation− ε u ″+
bu′= f are studied. Based on superconvergence properties of numerical fluxes at element …

Algorithm 949: MATLAB tools for HDG in three dimensions

Z Fu, LF Gatica, FJ Sayas - ACM Transactions on Mathematical Software …, 2015 - dl.acm.org
In this article, we provide some MATLAB tools for efficient vectorized implementation of the
Hybridizable Discontinuous Galerkin for linear variable coefficient reaction-diffusion …

Analysis of optimal error estimates and superconvergence of the discontinuous Galerkin method for convection-diffusion problems in one space dimension

M Baccouch, H Temimi - International Journal of …, 2016 - digitalcommons.unomaha.edu
In this paper, we study the convergence and superconvergence properties of the
discontinuous Galerkin (DG) method for a linear convection-diffusion problem in one …

An HDG method for linear elasticity with strong symmetric stresses

W Qiu, J Shen, K Shi - Mathematics of Computation, 2018 - ams.org
This paper presents a new hybridizable discontinuous Galerkin (HDG) method for linear
elasticity on general polyhedral meshes, based on a strong symmetric stress formulation …

Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods

B Cockburn, DA Di Pietro, A Ern - ESAIM: Mathematical Modelling …, 2016 - esaim-m2an.org
We build a bridge between the hybrid high-order (HHO) and the hybridizable discontinuous
Galerkin (HDG) methods in the setting of a model diffusion problem. First, we briefly recall …

An analysis of HDG methods for convection-dominated diffusion problems

G Fu, W Qiu, W Zhang - ESAIM: Mathematical Modelling and …, 2015 - esaim-m2an.org
We present the first a priori error analysis of the h-version of the hybridizable discontinuous
Galkerin (HDG) methods applied to convection-dominated diffusion problems. We show that …