Analysis of A New Time Filter Algorithm for The Unsteady Stokes/Darcy Model

04/29/2022

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by   Yi Qin, et al.

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This paper first presents a first order θ-scheme which is one parameter family of Linear Multistep Methods for the unsteady Stokes-Darcy model. Then, on the basis of this scheme, we use a time filter algorithm to increase the convergence order to the second order with almost no increasing the amount of computation, from which we get a new efficient algorithm. Finally, we theoretically analyze the stabilities and error estimations of coupled and decoupled schemes respectively, and we also do some numerical experiments to verify the effectiveness, convergence and efficiency.