离散化
数学
分歧(语言学)
多边形网格
斯托克斯问题
有限元法
应用数学
操作员(生物学)
数学分析
趋同(经济学)
数值分析
要素(刑法)
几何学
经济增长
热力学
经济
法学
基因
转录因子
政治学
抑制因子
化学
生物化学
物理
语言学
哲学
标识
DOI:10.1016/j.apnum.2021.05.014
摘要
In this paper, we develop a modified nonconforming virtual element with a divergence-free BDM-like reconstruction for the Navier-Stokes problem. The main idea is to use a divergence preserving velocity reconstruction operator in the discretization of trilinear and right-hand side terms. The obtained discrete system can not only inherit the advantages of the classical nonconforming virtual element method, i.e., polygonal meshes, a unified discrete scheme, etc, but also achieve the pressure-independence of velocity errors and the effectiveness of small viscosities. Then, we also establish an optimal convergence results for H 1 , L 2 -velocity and L 2 -pressure. Finally, numerical examples are presented to support the theoretical analysis.
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