摘要
本文讨论了非匹配网格上Stokes-Darcy模型的两种低阶非协调元方法,证明了离散问题的适定性并得到了最优的误差估计.对离散出来的非对称不定线性方程组,我们提出了几种有效的预条件子,证明了预条件子的最优性.最后,数值试验验证了我们的理论结果.
In this paper, two lower order nonconforming finite element methods are presented for the Stokes-Darcy model on nonmatching grids, the well-posedness of the discrete problem is proved and the optimal error estimate is also derived. Moreover, we propose some efficient preconditioners for the nonsymmetric and indefinite linear system of the algebraic equations, and prove the optimality of our preconditioners. Finally, numerical experiments are given to confirm our theoretical results.
出处
《计算数学》
CSCD
北大核心
2011年第4期397-408,共12页
Mathematica Numerica Sinica
基金
国家自然科学基金(项目号11071124和10871100)资助
