B Cockburn, K Shi - Computers & Fluids, 2014 - Elsevier
We provide a short overview of our recent work on the devising of hybridizable discontinuous Galerkin (HDG) methods for the Stokes equations of incompressible flow …
We propose a new discretization method for the Stokes equations. The method is an improved version of the method recently presented in C. Lehrenfeld and J. Schöberl …
We present the first a priori error analysis of the hybridizable discontinuous Galerkin method for the approximation of the Navier-Stokes equations proposed in J. Comput. Phys. vol. 230 …
B Cockburn, G Fu, W Qiu - IMA Journal of Numerical Analysis, 2017 - academic.oup.com
In this article, we to devise superconvergent hybridizable discontinuous Galerkin methods on unstructured polygonal/polyhedral meshes for the Stokes equations of incompressible …
W Qiu, K Shi - IMA Journal of Numerical Analysis, 2016 - academic.oup.com
We present a superconvergent hybridizable discontinuous Galerkin method for the steady- state incompressible Navier–Stokes equations on general polyhedral meshes. For an …
In this paper, we analyze a hybridizable discontinuous Galerkin method for numerically solving the Stokes equations. The method uses polynomials of degree $ k $ for all the …
The present work is the second part of a pair of papers, considering Hybrid Discontinuous Galerkin methods with relaxed H (div)-conformity. The first part mainly dealt with presenting …
In this paper, we introduce a hybridizable discontinuous Galerkin method for Stokes flow. The method is devised by using the discontinuous Galerkin methodology to discretize a …
HH Kim, ET Chung, CS Lee - SIAM Journal on Numerical Analysis, 2013 - SIAM
Discontinuous Galerkin (DG) methods are a class of efficient tools for solving fluid flow problems. There are in the literature many greatly successful DG methods. In this paper, a …