Analysis of finite element methods for the Brinkman problem

被引:0
|
作者
Mika Juntunen
Rolf Stenberg
机构
[1] Helsinki University of Technology (TKK),Institute of Mathematics and Systems Analysis
来源
Calcolo | 2010年 / 47卷
关键词
Brinkman equation; Stokes equation; Darcy equation; Nitsche’s method; Mixed finite element methods; Stabilized methods; 65N30;
D O I
暂无
中图分类号
学科分类号
摘要
The parameter dependent Brinkman problem, covering a field of problems from the Darcy equations to the Stokes problem, is studied. A mathematical framework is introduced for analyzing the problem. Using this uniform a priori and a posteriori estimates for two families of finite element methods are proved. Nitsche’s method for imposing boundary conditions is discussed.
引用
收藏
页码:129 / 147
页数:18
相关论文
共 50 条
  • [1] Analysis of finite element methods for the Brinkman problem
    Juntunen, Mika
    Stenberg, Rolf
    CALCOLO, 2010, 47 (03) : 129 - 147
  • [2] Computations with finite element methods for the Brinkman problem
    Hannukainen, Antti
    Juntunen, Mika
    Stenberg, Rolf
    COMPUTATIONAL GEOSCIENCES, 2011, 15 (01) : 155 - 166
  • [3] Computations with finite element methods for the Brinkman problem
    Antti Hannukainen
    Mika Juntunen
    Rolf Stenberg
    Computational Geosciences, 2011, 15 : 155 - 166
  • [4] Two New Nonconforming Quadrilateral Finite Element Methods for the Brinkman Problem
    Hexin NIU
    Xinchen ZHOU
    Journal of Mathematical Research with Applications, 2025, 45 (02) : 243 - 259
  • [5] Non-Conforming Finite Element Method for the Brinkman Problem
    Konno, Juho
    Stenberg, Rolf
    NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS 2009, 2010, : 515 - 522
  • [6] HYBRIDIZED WEAK GALERKIN FINITE ELEMENT METHODS FOR BRINKMAN EQUATIONS
    Jia, Jiwei
    Lee, Young-Ju
    Feng, Yue
    Wang, Zichan
    Zhao, Zhongshu
    ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (03): : 2489 - 2516
  • [7] Discontinuous Finite Volume Element Methods for the Optimal Control of Brinkman Equations
    Kumar, Sarvesh
    Ruiz-Baier, Ricardo
    Sandilya, Ruchi
    FINITE VOLUMES FOR COMPLEX APPLICATIONS VIII-HYPERBOLIC, ELLIPTIC AND PARABOLIC PROBLEMS, 2017, 200 : 307 - 315
  • [8] Comparative Analysis of the Finite Element Methods for the Elasticity Problem with Singularity
    Rukavishnikov, V. A.
    Rukavishnikova, E., I
    INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM-2018), 2019, 2116
  • [9] ON THE ERROR ANALYSIS OF STABILIZED FINITE ELEMENT METHODS FOR THE STOKES PROBLEM
    Stenberg, Rolf
    Videman, Juha
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 53 (06) : 2626 - 2633
  • [10] A posteriori error analysis of a mixed finite element method for the stationary convective Brinkman-Forchheimer problem
    Caucao, Sergio
    Gatica, Gabriel N.
    Gatica, Luis F.
    APPLIED NUMERICAL MATHEMATICS, 2025, 211 : 158 - 178