A novel preconditioner of Neumann-Neumann type for the Stokes-Darcy problem is studied, where optimal weights of the local subproblems that define the preconditioner are obtained by minimizing the convergence rate of the method in the frequency space. Numerical tests show that the preconditioner is robust with respect to both the mesh size and the values of the physical parameters of the problem.
Funding
Domain decomposition methods based on proper generalized decomposition for parametric heterogeneous problems
Engineering and Physical Sciences Research Council
This book chapter was accepted for publication in the book Domain Decomposition Methods in Science and Engineering XXVII and the definitive published version is available at https://doi.org/10.1007/978-3-031-50769-4_18.