应用数学2012，Vol.25Issue(3)：678-684,7.
Stokes问题低阶非协调混合元的改进加罚算法
A Modified Penalty Method with Low Order Nonconforming Mixed Finite Elements for Stokes Equations
摘要
Abstract
By a linear combination of two solutions gained by classical penalty finite element method for Stokes equations,a modified penalty scheme of low order nonconforming mixed finite elements is studied.It is shown that this method with a larger penalty parameter can achieve the same accuracy as the classical method with a smaller one.Furthermore,based on some special properties of the low order elements and the postprocessing technique,some superconvergence results are derived,which improve the results of previous literature.关键词
Stokes方程/非协调混合元/改进加罚算法/超收敛Key words
Stokes equation/ Nonconforming mixed finite element/ Modified penalty method/ Superconvergence分类
数理科学引用本文复制引用
石东洋,唐启立..Stokes问题低阶非协调混合元的改进加罚算法[J].应用数学,2012,25(3):678-684,7.基金项目
Supported by the National Natural Science Foundation of China(10971203,11101384),Specialized Research Fund for the Doctoral Program of Higher Education(20094101110006) （10971203,11101384）
