HIGHLY NONCONFORMING FINITE ELEMENT APPROXIMATIONS FOR A FOURTH ORDER VARIATIONAL INEQUALITY WITH CURVATURE OBSTACLE  

作　　者：SHIDongyang CHENShaochun IchiroHagiwara 

机构地区：[1]DepartmentofMathematics,ZhengzhouUniversity,Zhengzhou450052,China [2]TokyoInstituteofTechnology,2-12-1,Ohokayama,Megro,Tokyo,152-8552,Japan

出　　处：《Journal of Systems Science & Complexity》2005年第1期136-142,共7页系统科学与复杂性学报（英文版）

基　　金：ThisresearchissupportedbyNSFofChina(NO.10371113)FoundationofOverseasScholarsofChina(NO.2001(119))theProjectofCreativeEngineeringofHenanProvinceofChina(No.2002(219))NSFofHenanProvinceofChina.

摘　　要：The purpose of this paper is to obtain the optimal error estimates of O(h) for the highly nonconforming elements to a fourth order variational inequality with curvature obstacle in a convex domain with simply supported boundary by using the novel function splitting method and the orthogonal properties of the nonconforming finite element spaces.Morley's element approximation is our special case.

关 键 词：variational inequality curvature obstacle nonconforming finite element optimal error estimation 

分 类 号：O182.2[理学—数学]