Iterative penalty methods for the steady Navier-Stokes equations

作者：Qiu Hailong; Mei Liquan^*; Zhang Yamiao

来源：Applied Mathematics and Computation, 2014, 237: 110-119.

DOI：10.1016/j.amc.2014.03.112

• Navier-Stokes equations
• Iterative penalty methods
• Error estimates
• Inf-sup condition

This paper presents one-level and two-level iterative penalty finite element methods to approximate the solutions of steady Navier-Stokes equations. First, one-level iterative penalty finite element method is applied to solve the steady Navier-Stokes equations numerically, and its H-1 and L-2 error estimates are derived. Then, two-level iterative penalty scheme is given and its error estimates are obtained for velocity and pressure. Finally, the numerical results are displayed to verify the theoretical analysis.

• 出版日期2014-6-15
• 单位西安交通大学