A stabilized nonconfirming finite element method based on multiscale enrichment for the stationary Navier-Stokes equations

作者：Ge, Zhihao^*; Feng, Minfu; He, Yinnian

来源：Applied Mathematics and Computation, 2008, 202(2): 700-707.

DOI：10.1016/j.amc.2008.03.016

• nonconforming finite element method
• multiscale enrichment
• Petrov-Galerkin approach

In the paper, we proposed a stabilized nonconforming finite element method for the stationary incompressible Navier-Stokes equations, which is a Petrov-Galerkin approach based on the enrichment of the standard polynomial space for the velocity component with multiscale functions. And we studied the stability of the method for P-1-P-0 triangular element (Q(1) - P-0 quadrilateral element) and obtained the optimal error estimates of the stabilized nonconforming finite element method for the stationary Navier-Stokes equations.

• 出版日期2008-8-15
• 单位四川大学; 西安交通大学; 电子科技大学