An Inf-Sup Stabilized Finite Element Method by Multiscale Functions for the Stokes Equations

作者：Ge Zhihao^*; He Yinnian; Song Lingyu

来源：Advances in Applied Mathematics and Mechanics, 2009, 1(2): 273-287.

• stabilized finite element method
• multiscale functions
• Petrov-Galerkin approach
• inf-sup condition

In the paper, an inf-sup stabilized finite element method by multiscale functions for the Stokes equations is discussed. The key idea is to use a Petrov-Galerkin approach based on the enrichment of the standard polynomial space for the velocity component with multiscale functions. The inf-sup condition for P(1)-P(0) triangular element (or Q(1)-P(0) quadrilateral element) is established. The optimal error estimates of the stabilized finite element method for the Stokes equations are obtained.

• 出版日期2009-4
• 单位长安大学; 西安交通大学; 河南大学