Unified Analysis of the Hybrid Form of Mixed Finite Elements for Second Order Elliptic Problems

作     者：ZHANGXIN CHEN Department of Mathematics, Purdue University, W. Lafayette, IN 47907, U.S.A 

出 版 物：《工程数学学报》 (Chinese Journal of Engineering Mathematics)

年 卷 期：1991年第8卷第2期

页      面：91-102页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：数学学报 工程 月山 

摘      要：In this paper we systematically analyze the hybrid form of two mixed methods, the Raviart= Thomas and Brezzi-Douglas-Marini methods, for second order elliptic equations. We directly show that the hybrid form of the mixed methods is stable with respect to the usual Sobolev norms by means of the abstract stability theory for mixed methods, and thus error estimates in these norms can be obtained in a simple manner. We also introduce a new postprocessing method for improving the scalar variable as an alternative to the usual postprocessing methods.