A New Local and Parallel Finite Element Method for the Coupled Stokes-Darcy Model

被引：10
作者：
Du, Guangzhi [1 ]
Zuo, Liyun [2 ]
Zhang, Yuhong [3 ]
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
[3] Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2022年 / 90卷 / 01期
关键词：
Stokes; Darcy model; Two-grid method; Partition of unity; Superposition principle; DOMAIN DECOMPOSITION METHODS; FLUID-FLOW; DECOUPLED SCHEME; 2-GRID METHOD; PARTITION; ALGORITHMS; UNITY;
D O I：
10.1007/s10915-021-01723-5
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 and superposition principle, a new local and parallel finite element method is presented and studied for the coupled Stokes-Darcy model. Superposition principle is used to generate a series of local and independent subproblems to obtain a global continuous approximation. Optimal error estimates are derived. Numerical results are reported to support the theoretical findings.
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页数：21
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