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.
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%0 Journal Article
%1 juntunen2010analysis
%A Juntunen, Mika
%A Stenberg, Rolf
%D 2010
%J Calcolo
%K 65n12-pdes-bvps-stability-and-convergence-of-numerical-methods 65n15-pdes-bvps-error-bounds 65n30-pdes-bvps-finite-elements 76d07-stokes-and-related-oseen-etc-flows 76m10-finite-element-methods-in-fluid-mechanics
%N 3
%P 129--147
%R 10.1007/s10092-009-0017-6
%T Analysis of finite element methods for the Brinkman problem
%U https://link.springer.com/article/10.1007%2Fs10092-009-0017-6
%V 47
%X 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.
@article{juntunen2010analysis,
abstract = {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.},
added-at = {2020-05-08T07:44:08.000+0200},
author = {Juntunen, Mika and Stenberg, Rolf},
biburl = {https://www.bibsonomy.org/bibtex/2fc04909eafc7b8e880dd2ff4ed608df6/gdmcbain},
day = 01,
doi = {10.1007/s10092-009-0017-6},
interhash = {37372dbfe1577725d0197d14c8f13345},
intrahash = {fc04909eafc7b8e880dd2ff4ed608df6},
issn = {1126-5434},
journal = {Calcolo},
keywords = {65n12-pdes-bvps-stability-and-convergence-of-numerical-methods 65n15-pdes-bvps-error-bounds 65n30-pdes-bvps-finite-elements 76d07-stokes-and-related-oseen-etc-flows 76m10-finite-element-methods-in-fluid-mechanics},
month = sep,
number = 3,
pages = {129--147},
timestamp = {2020-05-08T07:44:08.000+0200},
title = {Analysis of finite element methods for the Brinkman problem},
url = {https://link.springer.com/article/10.1007%2Fs10092-009-0017-6},
volume = 47,
year = 2010
}