%0 Journal Article %1 citeulike:11006846 %A Xu, Hui %A He, Yinnian %C San Diego, CA, USA %D 2013 %I Academic Press Professional, Inc. %J J. Comput. Phys. %K 76m10-finite-element-methods-in-fluid-mechanics 76d05-incompressible-navier-stokes-equations %N 1 %P 136--152 %R 10.1016/j.jcp.2012.07.020 %T Some Iterative Finite Element Methods for Steady Navier-Stokes Equations with Different Viscosities %U http://dx.doi.org/10.1016/j.jcp.2012.07.020 %V 232 %X Two-level iterative finite element methods are designed to solve numerically the steady 2D/3D Navier-Stokes equations for a large viscosity @n such that a strong uniqueness condition holds. Moreover, the one-level Oseen iterative finite element method based on a fine mesh with small mesh size h is designed to solve numerically the steady 2D/3D Navier-Stokes equations for small viscosity @n such that a weak uniqueness condition holds. Meanwhile, the numerical investigations are provided to show that the proposed methods are efficient for solving the 2D/3D steady Navier-Stokes equations for different viscosities.

@article{citeulike:11006846, abstract = {{Two-level iterative finite element methods are designed to solve numerically the steady 2D/3D Navier-Stokes equations for a large viscosity @n such that a strong uniqueness condition holds. Moreover, the one-level Oseen iterative finite element method based on a fine mesh with small mesh size h is designed to solve numerically the steady 2D/3D Navier-Stokes equations for small viscosity @n such that a weak uniqueness condition holds. Meanwhile, the numerical investigations are provided to show that the proposed methods are efficient for solving the 2D/3D steady Navier-Stokes equations for different viscosities.}}, added-at = {2017-06-29T07:13:07.000+0200}, address = {San Diego, CA, USA}, author = {Xu, Hui and He, Yinnian}, biburl = {https://www.bibsonomy.org/bibtex/2673a549bde3ef264e325ce4ace0c8ac3/gdmcbain}, citeulike-article-id = {11006846}, citeulike-linkout-0 = {http://portal.acm.org/citation.cfm?id=2397434}, citeulike-linkout-1 = {http://dx.doi.org/10.1016/j.jcp.2012.07.020}, doi = {10.1016/j.jcp.2012.07.020}, interhash = {fdc3549d95489caaeacea5f45d99b6c3}, intrahash = {673a549bde3ef264e325ce4ace0c8ac3}, issn = {0021-9991}, journal = {J. Comput. Phys.}, keywords = {76m10-finite-element-methods-in-fluid-mechanics 76d05-incompressible-navier-stokes-equations}, month = jan, number = 1, pages = {136--152}, posted-at = {2015-07-02 01:48:22}, priority = {2}, publisher = {Academic Press Professional, Inc.}, timestamp = {2019-02-27T00:52:30.000+0100}, title = {{Some Iterative Finite Element Methods for Steady Navier-Stokes Equations with Different Viscosities}}, url = {http://dx.doi.org/10.1016/j.jcp.2012.07.020}, volume = 232, year = 2013 }