%0 Journal Article %1 citeulike:13829582 %A Stenberg, Rolf %D 1984 %J Mathematics of Computation %K 76d07-stokes-and-related-oseen-etc-flows 76m10-finite-element-methods-in-fluid-mechanics %N 165 %P 9–23 %R 10.2307/2007557 %T Analysis of Mixed Finite Element Methods for the Stokes Problem: A Unified Approach %U http://dx.doi.org/10.2307/2007557 %V 42 %X We develop a method for the analysis of mixed finite element methods for the Stokes problem in the velocity—pressure formulation. A technical ''macroelement condition'', which is sufficient for the classical Babuska—Brezzi inequality to be valid, is introduced. Using this condition, we are able to verify the stability, and optimal order of convergence, of several known mixed finite element methods.

@article{citeulike:13829582, abstract = {{We develop a method for the analysis of mixed finite element methods for the Stokes problem in the velocity—pressure formulation. A technical ''macroelement condition'', which is sufficient for the classical Babu\v{s}ka—Brezzi inequality to be valid, is introduced. Using this condition, we are able to verify the stability, and optimal order of convergence, of several known mixed finite element methods.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Stenberg, Rolf}, biburl = {https://www.bibsonomy.org/bibtex/20e364b9b4cf0ad64d5c2812853b60469/gdmcbain}, citeulike-article-id = {13829582}, citeulike-attachment-1 = {stenberg_84_analysis.pdf; /pdf/user/gdmcbain/article/13829582/1041986/stenberg_84_analysis.pdf; ceef0ef8df7207a9e335a425f7dfa0e2fbebeab7}, citeulike-linkout-0 = {http://dx.doi.org/10.2307/2007557}, doi = {10.2307/2007557}, file = {stenberg_84_analysis.pdf}, interhash = {e68b4cd8d894954b58e1902d11f8076e}, intrahash = {0e364b9b4cf0ad64d5c2812853b60469}, journal = {Mathematics of Computation}, keywords = {76d07-stokes-and-related-oseen-etc-flows 76m10-finite-element-methods-in-fluid-mechanics}, number = 165, pages = {9–23}, posted-at = {2015-11-06 03:55:15}, priority = {2}, timestamp = {2019-04-04T01:49:54.000+0200}, title = {Analysis of Mixed Finite Element Methods for the {S}tokes Problem: A Unified Approach}, url = {http://dx.doi.org/10.2307/2007557}, volume = 42, year = 1984 }