A parallel Robin-Robin domain decomposition method for the Stokes-Darcy systemn

Wenbin Chen, Max Gunzburger, Fei Hua, Xiaoming Wang

We propose a new parallel Robin-Robin domain decomposition method for the coupled Stokes-Darcy system with Beavers-Joseph-Saman-Jones interface boundary condition. In particular, we prove that, with an appropriate choice of parameters, the scheme converges geometrically independent of the mesh size.