摘要
This paper considers the mixed covolume method for the second-order elliptic equations over quadrilaterals.Superconvergence results are established in this paper on quadrilateral grids satisfying the h^2-parallelogram condition when the lowest-order Raviart-Thomas space is employed in the mixed covolume method.The authors prove O(h^2) accuracy between the approximate velocity or pressure and a suitable projection of the real velocity or pressure in the L^2 norm.Numerical experiments illustrating the theoretical results are provided.
This paper considers the mixed covolume method for the second-order elliptic equations over quadrilaterals. Superconvergence results are established in this paper on quadrilateral grids satisfying the h2-parallelogram condition when the lowest-order Raviart-Thomas space is employed in the mixed covolume method. The authors prove O（h2） accuracy between the approximate velocity or pressure and a suitable projection of the real velocity or pressure in the L2 norm. Numerical experiments illustrating the theoretical results are provided.
基金
supported by the '985' program of Jilin University
the National Natural Science Foundation of China under Grant No.10971082
the NSAF of China under Grant No.11076014
