Superconvergence of mixed covolume method on quadrilateral grids for elliptic problems

作者：Tian, Wanfu; Li, Yonghai^*

来源：Journal of Systems Science and Complexity, 2012, 25(2): 385-397.

DOI：10.1007/s11424-011-9208-8

• Elliptic problem
• mixed covolume method
• quadrilateral grids
• superconvergence

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.

• 出版日期2012-4
• 单位吉林大学