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 …
Local discontinuous Galerkin methods for the Stokes system
B Cockburn, G Kanschat, D Schötzau… - SIAM Journal on Numerical …, 2002 - SIAM
In this paper, we introduce and analyze local discontinuous Galerkin methods for the Stokes
system. For a class of shape regular meshes with hanging nodes we derive a priori …
system. For a class of shape regular meshes with hanging nodes we derive a priori …
Hybridized globally divergence-free LDG methods. Part I: The Stokes problem
J Carrero, B Cockburn, D Schötzau - Mathematics of computation, 2006 - ams.org
We devise and analyze a new local discontinuous Galerkin (LDG) method for the Stokes
equations of incompressible fluid flow. This optimally convergent method is obtained by …
equations of incompressible fluid flow. This optimally convergent method is obtained by …
Discontinuous G alerkin Methods for Computational Fluid Dynamics
B Cockburn - Encyclopedia of computational mechanics, 2004 - Wiley Online Library
The discontinuous Galerkin methods are locally conservative, high‐order accurate, and
robust methods that can easily handle elements of arbitrary shapes, irregular triangulations …
robust methods that can easily handle elements of arbitrary shapes, irregular triangulations …
A Hybrid High-Order method for the steady incompressible Navier–Stokes problem
DA Di Pietro, S Krell - Journal of Scientific Computing, 2018 - Springer
In this work we introduce and analyze a novel Hybrid High-Order method for the steady
incompressible Navier–Stokes equations. The proposed method is inf-sup stable on general …
incompressible Navier–Stokes equations. The proposed method is inf-sup stable on general …
A Hybrid High-Order method for the incompressible Navier–Stokes equations based on Temam's device
In this work we propose a novel Hybrid High-Order method for the incompressible Navier–
Stokes equations based on a formulation of the convective term including Temam's device …
Stokes equations based on a formulation of the convective term including Temam's device …
Incompressible finite elements via hybridization. Part I: The Stokes system in two space dimensions
B Cockburn, J Gopalakrishnan - SIAM Journal on Numerical Analysis, 2005 - SIAM
In this paper, we introduce a new and efficient way to compute exactly divergence-free
velocity approximations for the Stokes equations in two space dimensions. We begin by …
velocity approximations for the Stokes equations in two space dimensions. We begin by …
Polynomial robust stability analysis for (div)-conforming finite elements for the Stokes equations
PL Lederer, J Schöberl - IMA Journal of Numerical Analysis, 2018 - academic.oup.com
In this article, we consider a discontinuous Galerkin method for the discretization of the
Stokes problem. We use-conforming finite elements, as they provide major benefits such as …
Stokes problem. We use-conforming finite elements, as they provide major benefits such as …
An advection-robust hybrid high-order method for the Oseen problem
J Aghili, DA Di Pietro - Journal of Scientific Computing, 2018 - Springer
In this work, we study advection-robust Hybrid High-Order discretizations of the Oseen
equations. For a given integer k\geqslant 0 k⩾ 0, the discrete velocity unknowns are vector …
equations. For a given integer k\geqslant 0 k⩾ 0, the discrete velocity unknowns are vector …
[PDF][PDF] A mass conserving mixed stress formulation for incompressible flows
PL Lederer - 2019 - aurora.asc.tuwien.ac.at
This work deals with the introduction and the analysis of a new finite element method for the
discretization of incompressible flows. The main focus essentially lies on the discussion of …
discretization of incompressible flows. The main focus essentially lies on the discussion of …