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：
芬兰科学院; 中国国家自然科学基金;
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.
引用
收藏
页数：21
相关论文
共 50 条
  • [1] The nonconforming virtual element method for the Darcy-Stokes problem
    Zhao, Jikun
    Zhang, Bei
    Mao, Shipeng
    Chen, Shaochun
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 370
  • [2] An extended finite element method for coupled Darcy-Stokes problems
    Cao, Pei
    Chen, Jinru
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2022, 123 (19) : 4586 - 4615
  • [3] The stabilized nonconforming virtual element method for the Darcy-Stokes problem
    Zhao, Jikun
    Zhu, Wenhao
    Zhang, Bei
    Yang, Yongqin
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 138
  • [4] UNIFORMLY CONVERGENT NONCONFORMING TETRAHEDRAL ELEMENT FOR DARCY-STOKES PROBLEM
    Dong, Lina
    Chen, Shaochun
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 37 (01) : 130 - 150
  • [5] Uniformly Convergent Cubic Nonconforming Element For Darcy-Stokes Problem
    Chen, Shao-chun
    Dong, Li-na
    Zhao, Ji-kun
    JOURNAL OF SCIENTIFIC COMPUTING, 2017, 72 (01) : 231 - 251
  • [6] LOW ORDER NONCONFORMING RECTANGULAR FINITE ELEMENT METHODS FOR DARCY-STOKES PROBLEMS
    Zhang, Shiquan
    Xie, Xiaoping
    Chen, Yumei
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 27 (2-3) : 400 - 424
  • [7] LOW ORDER NONCONFORMING RECTANGULAR FINITE ELEMENT METHODS FOR DARCY-STOKES PROBLEMS
    Shiquan Zhang School of Mathematics
    Journal of Computational Mathematics, 2009, 27(Z1) (Z1) : 400 - 424
  • [8] A robust finite element method for Darcy-Stokes flow
    Mardal, KA
    Tai, XC
    Winther, R
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2002, 40 (05) : 1605 - 1631
  • [9] An absolutely stable weak Galerkin finite element method for the Darcy-Stokes problem
    Wang, Xiuli
    Zhai, Qilong
    Wang, Ruishu
    Jari, Rabeea
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 331 : 20 - 32
  • [10] Unified Finite Element Discretizations of Coupled Darcy-Stokes Flow
    Karper, Trygve
    Mardal, Kent-Andre
    Winther, Ragnar
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (02) : 311 - 326
12345