A nonlinear Galerkin/Petrov-least squares mixed element method for the stationary navier-stokes equations

作者：Luo ZD^*; Zhu J; Wang HJ

来源：Applied Mathematics and Mechanics (English Edition ), 2002, 23(7): 783-793.

• Navier-Stokes equation
• nonlinear Galerkin mixed element method
• Petrov least squares method
• error estimate

A nonlinear Galerkin/Petrov-least squares mixed element (NGPLSME) method for the stationary Navier-Stokes equations is presented and analyzed. The scheme is that Petrov-least squares forms of residuals are added to the nonlinear Galerkin mixed element method so that it is stable for any combination of discrete velocity and pressure spaces without requiring the Babuska-Brezzi stability condition. The existence, uniqueness and convergence (at optimal rate) of the NGPLSME solution is proved in the case of sufficient viscosity (or small data).

• 出版日期2002-7
• 单位首都师范大学