Local and parallel finite element methods for the coupled Stokes/Darcy model

被引：19

作者：

Du, Guangzhi ^{[1
]}

Zuo, Liyun ^{[2
]}

机构：

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

[2] Jinan Univ, Sch Math Sci, Jinan 250022, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2021年 / 87卷 / 04期

关键词：

Stokes; Darcy model; Parallel finite element method; Partition of unity; Numerical analysis; FLUID-FLOW; 2-GRID DISCRETIZATIONS; DECOUPLED SCHEME; ALGORITHMS; PARTITION; UNITY;

D O I：

10.1007/s11075-020-01021-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on two-grid discretizations, two kinds of local and parallel finite element methods are proposed and investigated for the coupled Stokes/Darcy model. Following the idea presented in Xu and Zhou (Math. Comput.69, 881-9091999). a classical local and parallel finite element method is proposed and investigated. To derive global continuous approximations, a new local and parallel finite element method is devised by combining the partition of unity. We theoretically analyze the resulting formulations and derive optimal error estimates. Numerical experiments are reported to assess the theoretical results.

引用

页码：1593 / 1611

页数：19

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