%0 Generic %1 bernardi2014finite %A Bernardi, Christine %A Rebollo, Tomas C. %A Yakoubi, Driss %D 2014 %K 76m10-finite-element-methods-in-fluid-mechanics %T Finite Element Discretization of the Stokes and Navier–Stokes Equations with Boundary Conditions on the Pressure %U http://hal.upmc.fr/docs/00/96/16/53/PDF/New.b.c.pdf %X We consider the Stokes and Navier--Stokes equations with boundary conditions of Dirichlet type on the velocity on one part of the boundary and involving the pressure on the rest of the boundary. We write the variational formulations of such problems. Next we propose a nite element discretization of them and perform the a priori and a posteriori analysis of the discrete problem. Some numerical experiments conrm the interest of this discretization.

@misc{bernardi2014finite, abstract = {{We consider the Stokes and Navier--Stokes equations with boundary conditions of Dirichlet type on the velocity on one part of the boundary and involving the pressure on the rest of the boundary. We write the variational formulations of such problems. Next we propose a nite element discretization of them and perform the a priori and a posteriori analysis of the discrete problem. Some numerical experiments conrm the interest of this discretization.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Bernardi, Christine and Rebollo, Tomas C. and Yakoubi, Driss}, biburl = {https://www.bibsonomy.org/bibtex/265552506b6604a668d74305e6b0aec82/gdmcbain}, citeulike-article-id = {13147930}, citeulike-attachment-1 = {bernardi_14_finite.pdf; /pdf/user/gdmcbain/article/13147930/961418/bernardi_14_finite.pdf; 89f220581cbc1fbf953e4383aea2e31014213e26}, citeulike-linkout-0 = {http://hal.upmc.fr/docs/00/96/16/53/PDF/New.b.c.pdf}, comment = {cited by Richard Michel 2014-04-23 on freefempp}, day = 20, file = {bernardi_14_finite.pdf}, interhash = {93aa57acb3f06c36428e1c95527bd9f5}, intrahash = {65552506b6604a668d74305e6b0aec82}, keywords = {76m10-finite-element-methods-in-fluid-mechanics}, month = mar, posted-at = {2014-04-24 00:46:27}, priority = {2}, timestamp = {2019-11-06T00:44:14.000+0100}, title = {Finite Element Discretization of the Stokes and Navier–Stokes Equations with Boundary Conditions on the Pressure}, url = {http://hal.upmc.fr/docs/00/96/16/53/PDF/New.b.c.pdf}, year = 2014 }