Least-squares mixed finite element method for a class of Stokes equation

被引:0
|
作者
Gu, HM [1 ]
Yang, DP
Sui, SL
Liu, XM
机构
[1] Qingdao Inst Chem Technol, Dept Comp, Qingdao 266042, Peoples R China
[2] Shandong Univ, Dept Math, Jinan 250100, Peoples R China
关键词
least-squares; mixed finite element method; error estimates;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A least-squares mixed finite element method was formulated for a class of Stokes equations in two dimensional domains. The steady state and the time-dependent Stokes' equations were considered. For the stationary equation, optimal H-t and L-2-error estimates are derived under the standard regularity assumption on the finite element partition ( the LBB-condition is not required). Far the evolutionary equation, optimal L-2 estimates are derived under the conventional Raviart-Thomas spaces.
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页码:557 / 566
页数:10
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