Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628196 | Applied Mathematics and Computation | 2014 | 10 Pages |
Abstract
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 H1H1 and L2L2 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hailong Qiu, Liquan Mei, Yamiao Zhang,