A superconvergent HDG method for the incompressible Navier–Stokes equations on general polyhedral meshes
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 …
state incompressible Navier–Stokes equations on general polyhedral meshes. For an …
Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations
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 …
for the approximation of the Navier-Stokes equations proposed in J. Comput. Phys. vol. 230 …
A note on the devising of superconvergent HDG methods for Stokes flow by M-decompositions
In this article, we to devise superconvergent hybridizable discontinuous Galerkin methods
on unstructured polygonal/polyhedral meshes for the Stokes equations of incompressible …
on unstructured polygonal/polyhedral meshes for the Stokes equations of incompressible …
Divergence-conforming HDG methods for Stokes flows
B Cockburn, FJ Sayas - Mathematics of Computation, 2014 - ams.org
In this paper, we show that by sending the normal stabilization function to infinity in the
hybridizable discontinuous Galerkin methods previously proposed in [Comput. Methods …
hybridizable discontinuous Galerkin methods previously proposed in [Comput. Methods …
Devising HDG methods for Stokes flow: an overview
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 …
discontinuous Galerkin (HDG) methods for the Stokes equations of incompressible flow …
Hybrid discontinuous Galerkin methods with relaxed H (div)-conformity for incompressible flows. Part I
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 …
improved version of the method recently presented in C. Lehrenfeld and J. Schöberl …
The staggered DG method is the limit of a hybridizable DG method. Part II: the Stokes flow
We show that the staggered discontinuous Galerkin (SDG) method (Kim et al. in SIAM J
Numer Anal 51: 3327–3350, 2013) for the Stokes system of incompressible fluid flow can be …
Numer Anal 51: 3327–3350, 2013) for the Stokes system of incompressible fluid flow can be …
An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier–Stokes equations
We present an implicit high-order hybridizable discontinuous Galerkin method for the steady-
state and time-dependent incompressible Navier–Stokes equations. The method is devised …
state and time-dependent incompressible Navier–Stokes equations. The method is devised …
Analysis of HDG methods for Oseen equations
We propose a hybridizable discontinuous Galerkin (HDG) method to numerically solve the
Oseen equations which can be seen as the linearized version of the incompressible Navier …
Oseen equations which can be seen as the linearized version of the incompressible Navier …
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 …
diffusion problem on general polyhedral meshes. This new HDG method is a generalization …