Analysis of the parareal method with spectral deferred correction method for the Stokes/Darcy equations

Dandan Xue, Yanren Hou and Wenjia Liu

Applied Mathematics and Computation, 2020, vol. 387, issue C

Abstract: In this paper, we analyze a second-order numerical algorithm for the non-stationary mixed Stokes/Darcy equations with Beavers–Joseph–Saffman’s interface condition. The scheme is based on a finite element method in space and the parareal method with spectral deferred correction in time. We present the unconditional stability and the optimal error estimate of the full-discrete scheme. Finally, some numerical experiments are given to verify the effectiveness.

Keywords: Time-dependent; Stokes/Darcy equations; Parareal; Spectral deferred correction (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:387:y:2020:i:c:s0096300319306174

DOI: 10.1016/j.amc.2019.124625

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