In this paper, the convergence analysis of the famous Carey element in 3-D is studied on anisotropic meshes. The optimal error estimate is obtained based on some novel techniques and approach, which extends its applic...In this paper, the convergence analysis of the famous Carey element in 3-D is studied on anisotropic meshes. The optimal error estimate is obtained based on some novel techniques and approach, which extends its applications.展开更多
The class of anisotropic meshes we conceived abandons the regular assumption. Some distinct properties of Carey＇s element are used to deal with the superconvergence for a class of two- dimensional second-order ellipt...The class of anisotropic meshes we conceived abandons the regular assumption. Some distinct properties of Carey＇s element are used to deal with the superconvergence for a class of two- dimensional second-order elliptic boundary value problems on anisotropic meshes. The optimal results are obtained and numerical examples are given to confirm our theoretical analysis.展开更多
文摘In this paper, the convergence analysis of the famous Carey element in 3-D is studied on anisotropic meshes. The optimal error estimate is obtained based on some novel techniques and approach, which extends its applications.
基金The research is Supported by National Natural Science Foundation of China under Grant No. 10371113
文摘The class of anisotropic meshes we conceived abandons the regular assumption. Some distinct properties of Carey＇s element are used to deal with the superconvergence for a class of two- dimensional second-order elliptic boundary value problems on anisotropic meshes. The optimal results are obtained and numerical examples are given to confirm our theoretical analysis.
