CHEN Yu-mei, XIE Xiao-ping. Streamline Diffusion Nonconforming Finite Element Method for the Time-Dependent Linearized Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2010, 31(7): 822-834. doi: 10.3879/j.issn.1000-0887.2010.07.007
 Citation: CHEN Yu-mei, XIE Xiao-ping. Streamline Diffusion Nonconforming Finite Element Method for the Time-Dependent Linearized Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2010, 31(7): 822-834.

# Streamline Diffusion Nonconforming Finite Element Method for the Time-Dependent Linearized Navier-Stokes Equations

##### doi: 10.3879/j.issn.1000-0887.2010.07.007
• Rev Recd Date: 2010-05-28
• Publish Date: 2010-07-15
• A finite difference streamline diffusion non conforming finite element approxmiation was proposed for solving the time-dependent linearized Navier-Stokes equations. Stream line diffusion finite element method was used to discretize the space variables in order to cope with the usual instabilities caused by the convection term and finite difference discretization was used in the time domain. Noncon forming finite element approxmiations were used for the velocity and pressure fields: the velocity is approxmiated by discontinuous piecewise linear and the pressure by piecewise constant. Stability and optimal error estimates for the discrete solutions are obtained.
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