Is Minimising the Convergence Rate a Good Choice for Efficient Optimized Schwarz Preconditioning in Heterogeneous Coupling? The Stokes-Darcy Case

摘要

Using the Stokes/Darcy coupling as a testbed for heterogeneous problems, we show that minimizing the convergence rate of the corresponding iterative algorithm leads to poor convergence when an Optimized Schwarz Method is used as preconditioner for a Krylov method applied to the interface equation. On the other hand, taking advantage of the problem characteristics and minimizing the mean of the convergence rate provides effective preconditioning.