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.
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.
出处
《工程数学学报》
CSCD
1991年第2期91-102,共12页
Chinese Journal of Engineering Mathematics
