Robin–Robin domain decomposition methods for the steady-state Stokes–Darcy system with the Beavers–Joseph interface condition
Robin–Robin domain decomposition methods for the steady-state Stokes–Darcy system with the Beavers–Joseph interface condition
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DOI：
10.1007/s00211-011-0361-8
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发表时间：
2011-04
影响因子：
2.1
通讯作者：
Yanzhao Cao;M. Gunzburger;Xiaoming He;Xiaoming Wang
中科院分区：
文献类型：
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作者：
Yanzhao Cao;M. Gunzburger;Xiaoming He;Xiaoming Wang
提出并分析了求解具有Beavers-Joseph界面条件的Stokes-Darcy耦合方程组的区域分解方法。Robin边界条件用于解耦系统的Stokes和Darcy部分。然后，并行和串行区域分解方法构造的基础上的两个解耦的子问题。证明了这两种方法的收敛性，并给出了计算实验的结果来说明收敛性。
Domain decomposition methods for solving the coupled Stokes–Darcy system with the Beavers–Joseph interface condition are proposed and analyzed. Robin boundary conditions are used to decouple the Stokes and Darcy parts of the system. Then, parallel and serial domain decomposition methods are constructed based on the two decoupled sub-problems. Convergence of the two methods is demonstrated and the results of computational experiments are presented to illustrate the convergence.