| Abstract: |
| We present a monolithic multigrid solver for a strongly mass-conservative mixed finite element discretization of the coupled Stokes-Darcy problem. An overlapping Schwarz smoother is employed, and different treatments of boundary degrees of freedom are compared. In particular, we investigate the effect of velocity and pressure boundary conditions in the Darcy subdomain, as well as the inclusion of boundary unknowns in the vertex patches. Numerical results show that the convergence behavior, especially for the pressure, strongly depends on the smoother design. With a consistent treatment of boundary degrees of freedom, the proposed method is robust and requires less than 10 iterations for high-order discretizations. |
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