%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 }