位移障碍下一个四阶变分不等式的双参数有限元逼近(英文)  

Double Sets Parameter Finite Element Approximation for a Fourth Order Variational Inequality with Displacement Obstacle

作　　者：石东洋[1] 吴景珠[1] 宋士仓[1] 

机构地区：[1]郑州大学数学系,郑州450052

出　　处：《工程数学学报》2003年第4期31-37,共7页Chinese Journal of Engineering Mathematics

基　　金：ThisresearchissupportedbytheNationalNaturalScienceFoundationofChina (198710 79) ;theNaturalScienceFoundationofHenanProvinceofChinaFoundationofOverseaScholarofChina ;ProjectofCreativeEngineeringofHenanProvinceofChina .

摘　　要：研究位移障碍下的一个四阶变分不等式的非常规双参数有限元逼近。通过引入与常规单元不同的新技巧,得到了与常规有限元相同最优误差估计。这里的结论对几乎所有已知的非协调板元均适用。Unconventional double set parameter finite element approximation for a fourth order variational inequality with displacement obstacle is considered. Through introducing some new techniques, the optimal estimate order O(h) is obtained which is the same as that of the conventional finite elements. Our results are valid for almost known nonconforming plate finite elements.

关 键 词：变分不等式 非常规 双参数有限元 最优估计 

分 类 号：O242.21[理学—计算数学]