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.

Comput. 79:707-731, 2010 ) can be improved to the optimal order O ( ?t ) following our proof.

Finally, some numerical experiments are conducted to validate the established theoretical results.MSC: 65N15, 65N30, 76D07.

Published on: 2017-02-07

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