The local discontinuous Galerkin method for linearized incompressible fluid flow: a review
B Cockburn, G Kanschat, D Schötzau - Computers & fluids, 2005 - Elsevier
In this paper, we review the development of the so-called local discontinuous Galerkin
method for linearized incompressible fluid flow. This is a stable, high-order accurate and …
method for linearized incompressible fluid flow. This is a stable, high-order accurate and …
ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS
In this paper, we develop the a posteriori error estimation of hp-version interior penalty
discontinuous Galerkin discretizations of elliptic boundary-value problems. Computable …
discontinuous Galerkin discretizations of elliptic boundary-value problems. Computable …
p- and hp- virtual elements for the Stokes problem
A Chernov, C Marcati, L Mascotto - Advances in Computational …, 2021 - Springer
We analyse the p-and hp-versions of the virtual element method (VEM) for the Stokes
problem on polygonal domains. The key tool in the analysis is the existence of a bijection …
problem on polygonal domains. The key tool in the analysis is the existence of a bijection …
A staggered discontinuous Galerkin method for the Stokes system
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 …
problems. There are in the literature many greatly successful DG methods. In this paper, a …
Energy Norm shape A Posteriori Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem
In this paper, we develop the a posteriori error estimation of mixed discontinuous Galerkin
finite element approximations of the Stokes problem. In particular, we derive computable …
finite element approximations of the Stokes problem. In particular, we derive computable …
An hp-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity
We develop the a posteriori error estimation of mixed hp-version discontinuous Galerkin
finite element methods for nearly incompressible elasticity problems in two space …
finite element methods for nearly incompressible elasticity problems in two space …
Mass Conserving Mixed -FEM Approximations to Stokes Flow. Part II: Optimal Convergence
M Ainsworth, C Parker - SIAM Journal on Numerical Analysis, 2021 - SIAM
This paper is the second part in a series on a mass conserving, high order, mixed finite
element method for Stokes flow. In this part, we construct optimal hp-approximations for two …
element method for Stokes flow. In this part, we construct optimal hp-approximations for two …
Theoretical analysis and construction of numerical method for solving the Navier–Stokes equations in rotation form with corner singularity
VA Rukavishnikov, AV Rukavishnikov - Journal of Computational and …, 2023 - Elsevier
In this paper, we introduced the notion of an R ν-generalized solution of the Oseen problem
in rotation form in two-dimensional polygonal domain with a reentrant corner at the …
in rotation form in two-dimensional polygonal domain with a reentrant corner at the …
Staggered discontinuous Galerkin methods for the incompressible Navier–Stokes equations
In this paper, we present a staggered discontinuous Galerkin method for the approximation
of the incompressible Navier–Stokes equations. Our new method combines the advantages …
of the incompressible Navier–Stokes equations. Our new method combines the advantages …
-DGFEM for Second Order Elliptic Problems in Polyhedra II: Exponential Convergence
The goal of this paper is to establish exponential convergence of hp-version interior penalty
(IP) discontinuous Galerkin (dG) finite element methods for the numerical approximation of …
(IP) discontinuous Galerkin (dG) finite element methods for the numerical approximation of …