A weak Galerkin finite element method for the Stokes equations
J Wang, X Ye - Advances in Computational Mathematics, 2016 - Springer
This paper introduces a weak Galerkin (WG) finite element method for the Stokes equations
in the primal velocity-pressure formulation. This WG method is equipped with stable finite …
in the primal velocity-pressure formulation. This WG method is equipped with stable finite …
High order exactly divergence-free hybrid discontinuous Galerkin methods for unsteady incompressible flows
C Lehrenfeld, J Schöberl - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
In this paper we present an efficient discretization method for the solution of the unsteady
incompressible Navier–Stokes equations based on a high order (Hybrid) Discontinuous …
incompressible Navier–Stokes equations based on a high order (Hybrid) Discontinuous …
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 …
A hybridizable discontinuous Galerkin method for Stokes flow
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 …
The method is devised by using the discontinuous Galerkin methodology to discretize a …
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 …
Static condensation, hybridization, and the devising of the HDG methods
B Cockburn - Building bridges: connections and challenges in …, 2016 - Springer
In this paper, we review and refine the main ideas for devising the so-called hybridizable
discontinuous Galerkin (HDG) methods; we do that in the framework of steady-state diffusion …
discontinuous Galerkin (HDG) methods; we do that in the framework of steady-state diffusion …
Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
We present hybridizable discontinuous Galerkin methods for solving steady and time-
dependent partial differential equations (PDEs) in continuum mechanics. The essential …
dependent partial differential equations (PDEs) in continuum mechanics. The essential …
High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
We present a class of hybridizable discontinuous Galerkin (HDG) methods for the numerical
simulation of wave phenomena in acoustics and elastodynamics. The methods are fully …
simulation of wave phenomena in acoustics and elastodynamics. The methods are fully …
A hybridizable discontinuous Galerkin method for the Navier–Stokes equations with pointwise divergence-free velocity field
S Rhebergen, GN Wells - Journal of Scientific Computing, 2018 - Springer
We introduce a hybridizable discontinuous Galerkin method for the incompressible Navier–
Stokes equations for which the approximate velocity field is pointwise divergence-free. The …
Stokes equations for which the approximate velocity field is pointwise divergence-free. The …
Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations
We present two hybridizable discontinuous Galerkin (HDG) methods for the numerical
solution of the time-harmonic Maxwell's equations. The first HDG method explicitly enforces …
solution of the time-harmonic Maxwell's equations. The first HDG method explicitly enforces …