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.
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 curvatureobstacle in a convex domain with simply supported boundary by using the novel function splittingmethod and the orthogonal properties of the nonconforming finite element spaces. Morley's elementapproximation is our special case.
基金
ThisresearchissupportedbyNSFofChina(NO.10371113)FoundationofOverseasScholarsofChina(NO.2001(119))theProjectofCreativeEngineeringofHenanProvinceofChina(No.2002(219))NSFofHenanProvinceofChina.
关键词
二阶椭圆方程
非相容有限元
变分不等式
曲率
最佳误差估计
variational inequality
curvature obstacle
nonconforming finite element
optimal error estimation
