Local and parallel stabilized finite element methods based on two-grid discretizations for the Stokes equations

被引：5

作者：

Wang, Xinhui ^{[1
]}

Du, Guangzhi ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2023年 / 93卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Stokes equations; Stabilized finite element method; Two-grid discretizations; Parallel algorithms; Partition of unity; FULL DOMAIN PARTITION; ALGORITHMS; UNITY; DECOMPOSITION; PROJECTION;

D O I：

10.1007/s11075-022-01403-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on two-grid discretizations, some local and parallel stabilized finite element methods are proposed and investigated for the Stokes problem in this paper. For the finite element discretization, the lowest equal-order finite element pairs are chosen to circumvent the discrete inf-sup condition. In these algorithms, we derive the low-frequency components of the solution for the Stokes problem on a coarse grid and catch the high-frequency components on a fine grid using some local and parallel procedures. Optimal error bounds are demonstrated and some numerical experiments are carried out to support theoretical results.

引用

页码：67 / 83

页数：17

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