Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958523 | Computers & Mathematics with Applications | 2017 | 14 Pages |
Abstract
This paper analyzes some new error estimates for a backward Euler, partitioned time stepping algorithm, which was proposed in Mu and Zhu (2010) for the non-stationary Stokes-Darcy problem with Beavers-Joseph-Saffman interface condition. The well-known MINI elements and the linear Lagrangian elements are used in the fluid flow region and the porous media flow region, respectively. We prove that the error estimates for the fluid velocity and the piezometric head in L2 norm are optimal. Moreover, under a modest time step restriction Îtâ¤C, we prove that the error estimates for the fluid velocity and the piezometric head in H1 norm are Ît78+h and for the pressures in L2 norm are Ît34+h, respectively.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Li Shan, Yuhong Zhang,