%0 Journal Article %1 citeulike:7497012 %A Franca, L. %A Frey, S. %D 1992 %J Computer Methods in Applied Mechanics and Engineering %K 76m10-finite-element-methods-in-fluid-mechanics %N 2-3 %P 209--233 %R 10.1016/0045-7825(92)90041-h %T Stabilized Finite Element Methods: II. The Incompressible Navier-Stokes Equations %U http://dx.doi.org/10.1016/0045-7825(92)90041-h %V 99 %X Stabilized methods are proposed and analyzed for a linearized form of the incompressible Navier-Stokes equations. The methods are extended and tested for the nonlinear model. The methods combine the good features of stabilized methods already proposed for the Stokes flow and for advective-diffusive flows. These methods also generalize previous works restricted to low-order interpolations, thus allowing any combination of velocity and continuous pressure interpolations. A careful design of the stability parameters is suggested which considerably simplifies these generalizations.

@article{citeulike:7497012, abstract = {{Stabilized methods are proposed and analyzed for a linearized form of the incompressible Navier-Stokes equations. The methods are extended and tested for the nonlinear model. The methods combine the good features of stabilized methods already proposed for the Stokes flow and for advective-diffusive flows. These methods also generalize previous works restricted to low-order interpolations, thus allowing any combination of velocity and continuous pressure interpolations. A careful design of the stability parameters is suggested which considerably simplifies these generalizations.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Franca, L. and Frey, S.}, biburl = {https://www.bibsonomy.org/bibtex/2f17288a9111c9d7fb41514f8f8ee5d26/gdmcbain}, citeulike-article-id = {7497012}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/0045-7825(92)90041-h}, comment = {(private-note)cited in ch. 2 `Navier-Stokes equation' of Elmer Models Manual}, doi = {10.1016/0045-7825(92)90041-h}, interhash = {6faec0c3645578b379da9c843edc78f0}, intrahash = {f17288a9111c9d7fb41514f8f8ee5d26}, issn = {00457825}, journal = {Computer Methods in Applied Mechanics and Engineering}, keywords = {76m10-finite-element-methods-in-fluid-mechanics}, month = sep, number = {2-3}, pages = {209--233}, posted-at = {2010-07-16 03:19:30}, priority = {2}, timestamp = {2017-06-29T07:13:07.000+0200}, title = {Stabilized Finite Element Methods: {II}. The Incompressible {N}avier-{S}tokes Equations}, url = {http://dx.doi.org/10.1016/0045-7825(92)90041-h}, volume = 99, year = 1992 }