四川师范大学学报（自然科学版）2012，Vol.35Issue(2)：160-164,5.DOI:10.3969/j.issn.1001-8395.2012.02.003
Stokes问题的L2局部投影稳定化有限元方法
Stabilized Finite Element Methods for the Stokes Problem Based on L2 Local Projection
摘要
Abstract
The Stokes problem is considered. The traditional mixed finite element method requires velocity and pressure finite element spaces combined to meet the discrete inf - sup conditions. In order to overcome the restriction, the stabilized formulation basing on non - residual has been presented, but these formulations are weakly compatible. In this paper a strongly consistent finite element formulation is constructed based on L2 local projection method. It is proved that the finite element formulation is stable and uniquely solvable without requiring a B - B stability condition. An error estimation is obtained.关键词
Stokes问题/L2局部投影/误差估计Key words
Stokes problem/L2 local projection/error estimation 2000 MSC-65M12/65M60分类
数理科学引用本文复制引用
李志强,郭英文,刘红..Stokes问题的L2局部投影稳定化有限元方法[J].四川师范大学学报（自然科学版）,2012,35(2):160-164,5.基金项目
国家自然科学基金(10771030)资助项目 （10771030）
