【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.更多还原

【Abstract】 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.更多还原