An extended nonconforming finite element method for the coupled Darcy-Stokes problem

被引：0
作者：
Cao, Pei [1 ,2 ]
Chen, Jinru [2 ,3 ]
机构：
[1] Nanjing Tech Univ, Sch Phys & Math Sci, Nanjing 211816, Peoples R China
[2] Nanjing Normal Univ, Sch Math Sci, Key Lab NSLSCS, Minist Educ, Nanjing 210023, Peoples R China
[3] Jiangsu Second Normal Univ, Sch Math Sci, Nanjing 211200, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2024年 / 451卷
基金：
中国国家自然科学基金; 芬兰科学院;
关键词：
The coupled Darcy-Stokes problem; Extended nonconforming finite element; Inf-sup condition; Optimal convergence; Curved interface; CROUZEIX-RAVIART ELEMENT; POROUS-MEDIA; FLUID-FLOW; MODEL; DISCRETIZATION;
D O I：
10.1016/j.cam.2024.116092
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An extended nonconforming finite element method for solving the coupled Darcy-Stokes problem with straight or curved interfaces is proposed and analyzed. The approach applies the same Crouzeix-Raviart discretization in both regions. By introducing some stabilization terms, the discrete inf-sup condition and optimal a priori estimate are derived. In the end, some numerical experiments are presented to demonstrate the theoretical results.
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页数：21
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