.png){kind=icon}
返回
A pressure-robust virtual element method for the Stokes problem
.png){kind=icon}
PRE
AI
DOI：10.1016/j.cma.2021.113879.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
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 which the degrees of freedom for the velocity are simply given by the evaluations of velocity at the mesh vertices and the average values of normal velocity across the mesh edges, and the pressure is approximated by piecewise constants. In the standard virtual element scheme, an average of nodal values of test function is used in the approximation of right hand side to obtain the computability and achieve optimal approximation. However, such standard scheme involves a pressure contribution in the velocity error. To achieve the pressure-independent velocity approximation, we define an H(div)-conforming velocity reconstruction operator for the velocity test function and propose the modified scheme by employing it in the approximation of right-hand-side source term assembling. Compared with the standard scheme, the stiffness matrix keeps unchanged and only the approximation of the right hand side changes. The error estimates for the velocity and pressure have been proved, which imply that the velocity error is independent of pressure. Numerical experiments are shown to validate the theoretical conclusions. (C) 2021 Elsevier B.V. All rights reserved.
Keyword:
Virtual element
Stokes problem
Pressure-robust discretization
Polygonal meshes
Error estimates
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
机构
引用论文
.png){kind=icon}
Mimetic finite difference method for the Stokes problem on polygonal meshes多边形网格上Stokes问题的模拟有限差分方法
OAAI
OAAI分享收藏
查看更多内容