Numerical analysis of two-grid decoupled finite element algorithm for a coupled Darcy/Darcy fracture model

被引：0
|
作者：
Du, Guangzhi [1 ]
Rong, Yao [2 ]
Zuo, Liyun [3 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
[2] Shenzhen Technol Univ, Coll Engn Phys, Shenzhen 518118, Guangdong, Peoples R China
[3] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 138卷
关键词：
Darcy; Darcy fracture model; Two-grid decoupled method; Finite element method; Backtracking technique; INTERFACES;
D O I：
10.1016/j.aml.2022.108520
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a two-grid decoupled finite element method with backtracking for a coupled Darcy/Darcy fracture model is proposed and studied. Error estimates for the pressure in both H1 norm and L2 norm are established. To arrive at error bound for the pressure in L2 norm, a global coarse grid correction is carried out.(c) 2022 Elsevier Ltd. All rights reserved.
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