Title: The parameter-robust preconditioner for Stokes-Darcy coupled problem.

Abstract: In this talk, we consider the Stokes-Darcy coupled problem, which models the interaction between free-flow and porous medium flow.   By enforcing the normal flux continuity interface condition directly within the finite-element spaces, we establish unified well-posedness results for the coupled system under various boundary condition scenarios.  Using the operator preconditioning framework, we develop a parameter-robust preconditioner that avoids the use of fractional operators.  Numerical experiments employing both H(div)-conforming and nonconforming finite-element methods are presented to confirm the theoretical findings and demonstrate the robustness of the proposed block preconditioners with respect to the physical parameters and mesh size.

Organizational Meeting  

M Feb 17

M Apr 21