关于一个第二类变分不等式的有限元逼近  

FINITE ELEMENT APPROXIMATION TO THE SECOND TYPE VARIATIONAL INEQUALITY

作　　者：张铁[1] 李长军[2] 

机构地区：[1]中科院沈阳自动化所,沈阳110016 [2]东北大学数学系,沈阳110004

出　　处：《计算数学》2003年第3期257-264,共8页Mathematica Numerica Sinica

基　　金：教育部高校骨干教师基金

摘　　要：1.引言本文讨论如下第二类变分不等式[1,2,3]的有限元逼近及其误差分析:求u∈V。A new type of finite element scheme including the numerical integration modification is presented for the second type variational inequality. Our methods really simplify the finite element analysis and practical calculation. The unique existence and stability of finite element solution are proved , and particularly the optimal order error estimates are derived under H1 and L2 norms.

关 键 词：第二类变分不等式 有限元逼近 误差分析 稳定性估计 数值积分修正格式 

分 类 号：O241.5[理学—计算数学]