Divergence free virtual elements for the Stokes problem on polygonal meshes
In the present paper we develop a new family of Virtual Elements for the Stokes problem on
polygonal meshes. By a proper choice of the Virtual space of velocities and the associated …
polygonal meshes. By a proper choice of the Virtual space of velocities and the associated …
On conservation laws of Navier–Stokes Galerkin discretizations
We study conservation properties of Galerkin methods for the incompressible Navier–Stokes
equations, without the divergence constraint strongly enforced. In typical discretizations such …
equations, without the divergence constraint strongly enforced. In typical discretizations such …
[图书][B] Iterative methods for linear systems: theory and applications
MA Olshanskii, EE Tyrtyshnikov - 2014 - SIAM
Systems of linear algebraic equations are ubiquitous in mathematical modeling and
scientific computing, and iterative methods are indispensable for the numerical treatment of …
scientific computing, and iterative methods are indispensable for the numerical treatment of …
Robust arbitrary order mixed finite element methods for the incompressible Stokes equations with pressure independent velocity errors
A Linke, G Matthies, L Tobiska - ESAIM: Mathematical Modelling …, 2016 - esaim-m2an.org
Standard mixed finite element methods for the incompressible Navier–Stokes equations that
relax the divergence constraint are not robust against large irrotational forces in the …
relax the divergence constraint are not robust against large irrotational forces in the …
Divergence-free reconstruction operators for pressure-robust Stokes discretizations with continuous pressure finite elements
Classical inf-sup stable mixed finite elements for the incompressible (Navier--) Stokes
equations are not pressure-robust, ie, their velocity errors depend on the continuous …
equations are not pressure-robust, ie, their velocity errors depend on the continuous …
A stabilizer-free, pressure-robust, and superconvergence weak Galerkin finite element method for the Stokes equations on polytopal mesh
In this paper, we propose a new stabilizer-free and pressure-robust weak Galerkin finite
element method for the Stokes equations with superconvergence on polytopal mesh in the …
element method for the Stokes equations with superconvergence on polytopal mesh in the …
The divergence-free nonconforming virtual element for the Stokes problem
J Zhao, B Zhang, S Mao, S Chen - SIAM Journal on Numerical Analysis, 2019 - SIAM
We present the divergence-free nonconforming virtual element method for the Stokes
problems. We first construct a nonconforming virtual element with continuous normal …
problems. We first construct a nonconforming virtual element with continuous normal …
A pressure-robust virtual element method for the Stokes problem
G Wang, L Mu, Y Wang, Y He - Computer Methods in Applied Mechanics …, 2021 - Elsevier
In this paper, we introduce a pressure-robust virtual element method for the Stokes problem
on convex polygonal meshes. The method is based on the lowest order virtual element, in …
on convex polygonal meshes. The method is based on the lowest order virtual element, in …
Inf-sup stable finite elements on barycentric refinements producing divergence--free approximations in arbitrary dimensions
We construct several stable finite element pairs for the Stokes problem on barycentric
refinements in arbitrary dimensions. A key feature of the spaces is that the divergence maps …
refinements in arbitrary dimensions. A key feature of the spaces is that the divergence maps …