Stabilized Crouzeix-Raviart element for the coupled Stokes and Darcy problem

被引：0

作者：

冯民富 ^{[1
]}

祁瑞生 ^{[1
]}

朱瑞 ^{[1
]}

鞠炳焘 ^{[2
]}

机构：

[1] Department of Mathematics,Sichuan University

[2] Department of Information Technology,CNOOC Energy Technology and Services Limited Beijing Branch Company

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 2010年 / 31卷 / 03期

关键词：

Beavers-Joseph-Saffman condition; mass conservation; balance of force; coupled Stokes and Darcy problem;

D O I：

暂无

中图分类号：

O241.82 [偏微分方程的数值解法];

学科分类号：

摘要：

This paper introduces a new stabilized finite element method for the coupled Stokes and Darcy problem based on the nonconforming Crouzeix-Raviart element.Optimal error estimates for the fluid velocity and pressure are derived.A numerical example is presented to verify the theoretical predictions.

引用

页码：393 / 404

页数：12

共 50 条

[31] A general quadratic enrichment of the Crouzeix-Raviart finite element
Nudo, Federico
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 451
[32] AN IMMERSED CROUZEIX-RAVIART FINITE ELEMENT METHOD FOR NAVIER-STOKES EQUATIONS WITH MOVING INTERFACES
Wang, Jin
Zhang, Xu
Zhuang, Qiao
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2022, 19 (04) : 563 - 586
[33] Supercloseness and Asymptotic Analysis of the Crouzeix–Raviart and Enriched Crouzeix–Raviart Elements for the Stokes Problem
Wei Chen
Hao Han
Limin Ma
Journal of Scientific Computing, 2025, 103 (2)
[34] Crouzeix-Raviart boundary elements
Heuer, Norbert
Sayas, Francisco-Javier
NUMERISCHE MATHEMATIK, 2009, 112 (03) : 381 - 401
[35] A 3D Crouzeix-Raviart mortar finite element
Leszek Marcinkowski
Talal Rahman
Jan Valdman
Computing, 2009, 86 : 313 - 330
[36] Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces
Bartels, Soren
Wang, Zhangxian
NUMERISCHE MATHEMATIK, 2021, 148 (01) : 127 - 139
[37] Error analysis of Crouzeix-Raviart and Raviart-Thomas finite element methods
Kobayashi, Kenta
Tsuchiya, Takuya
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2018, 35 (03) : 1191 - 1211
[38] On an additive Schwarz preconditioner for the Crouzeix-Raviart mortar finite element
Rahman, T
Xu, XJ
Hoppe, RHW
DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING, 2005, 40 : 335 - 342
[39] A 3D Crouzeix-Raviart mortar finite element
Marcinkowski, Leszek
Rahman, Talal
Valdman, Jan
COMPUTING, 2009, 86 (04) : 313 - 330
[40] Viscosity-independent reliability and efficiency constants for Brinkman equations with stabilized Crouzeix-Raviart element
Li, Jingshi
Zhang, Jiachuan
Zhang, Ran
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 460

← 1 2 3 4 5 →