非线性Sobolev型方程一个新的非协调混合有限元格式  

A New Nonconforming Mixed Finite Element Scheme for Nonlinear Sobolev Equations

作　　者：石东洋[1] 王乐乐[1] 

机构地区：[1]郑州大学数学系,河南郑州450001

出　　处：《郑州大学学报（理学版）》2012年第4期1-5,共5页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目;编号10971203;11101384;高等学校博士学科点专项科研基金资助项目;编号20094101110006

摘　　要：将Crouzeix-Raviart型非协调线性三角形元应用于非线性Sobolev方程,建立了一种新的混合元格式,它具有构造简单且BB条件自动满足等优势.同时,在摆脱传统有限元分析中广义Ritz投影这一必不可少工具的情形下,直接利用单元上插值的特殊性质,得到了相关变量的最优误差估计.A new mixed finite element scheme was established,by applying a Crouzeix-Raviart type nonconforming linear triangular finite element to the nonlinear Sobolev equations,which had the advantages of simple structure,BB condition to be satisfied automatically and so on.At the same time,the optimal error estimates of related variables were obtained directly by utilizing the special properties of the interpolation on the element,instead of the general Ritz projection which was the essential tool in the traditional finite element analysis.

关 键 词：非线性Sobolev方程 混合有限元格式 Crouzeix-Raviart型非协调元 最优误差估计 

分 类 号：O242.21[理学—计算数学]