Stability and convergence of some novel decoupled schemes for the non-stationary Stokes-Darcy model
This paper considers two kinds of novel decoupled algorithms for the non-stationary Stokes-Darcy model. In this way, the considered problem is decoupled into one time-dependent Stokes equations and one linear parabolic equation.
For the two algorithms, we establish the stability and the optimal error estimates. Furthermore, the existing result in Mu and Zhu (Math.
) can be improved to the optimal order
following our proof.
Finally, some numerical experiments are conducted to validate the established theoretical results.MSC: 65N15, 65N30, 76D07.