DISCACCIATI, M. and GERARDO-GIORDO, L., 2017. Optimized Schwarz methods for the Stokes-Darcy coupling. IMA Journal of Numerical Analysis, doi: 10.1093/imanum/drx054
This paper studies Optimized Schwarz methods for the Stokes-Darcy problem. Robin transmission conditions are introduced and the coupled problem is reduced to a suitable interface system that can be solved using Krylov methods. Practical strategies to compute optimal Robin coefficients are proposed which take into account both the physical parameters of the problem and the mesh size. Numerical results show the effectiveness of our approach.
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The first author acknowledges partial funding from the European Union Seventh Framework Programme (FP7/2007-2013) under grand agreement no. 294229. The second author acknowledges the support from the Basque Government through the BERC 2014-2017 program, and from the Spanish Ministry of
Economics and Competitiveness MINECO through the BCAM Severo Ochoa excellence accreditation SEV-2013-0323