Various finite element families for the Brinkman flow (or Stokes--Darcy flow) are tested numerically. Particularly, the effect of small permeability is studied. The tested finite elements are the MINI element, the Taylor--Hood element, and the stabilized equal order methods. The numerical tests include both a priori analysis and adaptive methods.
%0 Journal Article
%1 hannukainen2011computations
%A Hannukainen, Antti
%A Juntunen, Mika
%A Stenberg, Rolf
%D 2011
%J Computational Geosciences
%K 76d07-stokes-and-related-oseen-etc-flows 76m10-finite-element-methods-in-fluid-mechanics
%N 1
%P 155--166
%R 10.1007/s10596-010-9204-4
%T Computations with finite element methods for the Brinkman problem
%U https://link.springer.com/article/10.1007%2Fs10596-010-9204-4
%V 15
%X Various finite element families for the Brinkman flow (or Stokes--Darcy flow) are tested numerically. Particularly, the effect of small permeability is studied. The tested finite elements are the MINI element, the Taylor--Hood element, and the stabilized equal order methods. The numerical tests include both a priori analysis and adaptive methods.
@article{hannukainen2011computations,
abstract = {Various finite element families for the Brinkman flow (or Stokes--Darcy flow) are tested numerically. Particularly, the effect of small permeability is studied. The tested finite elements are the MINI element, the Taylor--Hood element, and the stabilized equal order methods. The numerical tests include both a priori analysis and adaptive methods.},
added-at = {2020-05-08T07:48:30.000+0200},
author = {Hannukainen, Antti and Juntunen, Mika and Stenberg, Rolf},
biburl = {https://www.bibsonomy.org/bibtex/2fe53ee5e333584dbf13bd41b1755b209/gdmcbain},
day = 01,
doi = {10.1007/s10596-010-9204-4},
interhash = {77e9ba20dcfff17ad160d6ab0106e345},
intrahash = {fe53ee5e333584dbf13bd41b1755b209},
issn = {1573-1499},
journal = {Computational Geosciences},
keywords = {76d07-stokes-and-related-oseen-etc-flows 76m10-finite-element-methods-in-fluid-mechanics},
month = jan,
number = 1,
pages = {155--166},
timestamp = {2020-05-08T07:49:20.000+0200},
title = {Computations with finite element methods for the Brinkman problem},
url = {https://link.springer.com/article/10.1007%2Fs10596-010-9204-4},
volume = 15,
year = 2011
}