A novel local and parallel finite element method for the mixed Navier-Stokes-Darcy problem

被引：9
作者：
Wang, Xinhui [1 ]
Du, Guangzhi [1 ]
Zuo, Liyun [2 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
[2] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2021年 / 90卷
关键词：
Navier-Stokes-Darcy model; Two-grid method; Partition of unity; COUPLING FLUID-FLOW; DOMAIN DECOMPOSITION; PARTITION; MODEL; ALGORITHMS; UNITY;
D O I：
10.1016/j.camwa.2021.03.019
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 discretization, a new local and parallel finite element method is proposed and investigated for the mixed Navier-Stokes-Darcy problem. Compared with the classical local and parallel finite element method, the main features of our method are: (1) partition of unity method is considered to generate local subproblems; (2) global continuous approximations are achieved. We theoretically analyze the proposed method and report on some numerical tests to support the theoretical results.
引用
收藏
页码：73 / 79
页数：7
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