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
  • [41] Finite element methods for a singularly perturbed transmission problem
    Nicaise, S.
    Xenophontos, C.
    JOURNAL OF NUMERICAL MATHEMATICS, 2009, 17 (04) : 245 - 275
  • [42] COMPARISON OF FINITE-ELEMENT METHODS FOR THE DIFFUSION PROBLEM
    HWANG, C
    PAN, CT
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1988, 19 (07) : 1165 - 1179
  • [43] Finite element methods for the Stokes problem on complicated domains
    Peterseim, Daniel
    Sauter, Stefan A.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (33-36) : 2611 - 2623
  • [44] Statistical methods in finite element analysis
    Dar, FH
    Meakin, JR
    Aspden, RM
    JOURNAL OF BIOMECHANICS, 2002, 35 (09) : 1155 - 1161
  • [45] A generalized multiscale finite element method for the Brinkman equation
    Galvis, Juan
    Li, Guanglian
    Shi, Ke
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 280 : 294 - 309
  • [46] Benchmarking FE-Methods for the Brinkman Problem
    Hannukainen, Antti
    Juntunen, Mika
    Stenberg, Rolf
    NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS 2009, 2010, : 425 - 432
  • [47] Analysis of forward problem for elliptical geometry in EIT by using analytical and finite element methods
    Akdogan, KE
    Yilmaz, A
    Saka, B
    Proceedings of the 46th IEEE International Midwest Symposium on Circuits & Systems, Vols 1-3, 2003, : 372 - 375
  • [48] ANALYSIS OF DIVERGENCE-PRESERVING UNFITTED FINITE ELEMENT METHODS FOR THE MIXED POISSON PROBLEM
    Lehrenfeld, Christoph
    Van Beeck, Tim
    Voulis, Igor
    MATHEMATICS OF COMPUTATION, 2024,
  • [49] Analysis and finite element methods for a fluid-solid interaction problem in one dimension
    Makridakis, C
    Ihlenburg, F
    Babuska, I
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1996, 6 (08): : 1119 - 1141
  • [50] A Banach spaces-based mixed finite element method for the stationary convective Brinkman–Forchheimer problem
    Sergio Caucao
    Gabriel N. Gatica
    Luis F. Gatica
    Calcolo, 2023, 60