Divergence-Free Virtual Element Method for the Stokes Equations with Damping on Polygonal Meshes

作     者：Yu Xiong Yanping Chen Jianwei Zhou Qin Liang 

作者机构：School of Mathematics and Computational ScienceHunan Key Laboratory for Computation and Simulation in Science and EngineeringXiangtan UniversityXiangtan 411105P.R.China School of Mathematics and Statistics Linyi UniversityLinyi 276005P.R.China School of Mathematical SciencesSouth China Normal UniversityGuangzhou 510631P.R.China 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2024年第17卷第1期

页      面：210-242页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Optimal error estimates divergence-free virtual element nonlinear damping term. 

摘      要：In this paper,we construct,analyze,and numerically validate a family of divergence-free virtual elements for Stokes equations with nonlinear damping on polygonal *** virtual element method is H1-conforming and exact *** virtue of these properties and the topological degree argument,we rigorously prove the well-posedness of the proposed discrete *** con-vergence analysis is carried out,which imply that the error estimate for the velocity in energy norm does not explicitly depend on the *** experiments on various polygonal meshes validate the accuracy of the theoretical analysis and the asymptotic pressure robustness of the proposed scheme.