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.

翻译：研究了一种针对Stokes-Darcy问题的新型Neumann-Neumann型预处理器，通过最小化方法在频率空间中的收敛率，获得了定义该预处理器的局部子问题的最优权重。数值实验表明，该预处理器对网格尺寸及问题的物理参数值均具有鲁棒性。