Abstract
In this paper, a two-grid method with backtracking is proposed and investigated for the mixed Stokes/Darcy system which describes a fluid flow coupled with a porous media flow. Based on the classical two-grid method [15], a coarse mesh correction is carried out to derive optimal error bounds for the velocity field and the piezometric head in L2 norm. Finally, results of numerical experiments are provided to support the theoretical results.
Funding statement: This work is subsidized by NSFC(Grant No.11701343, 11801332) and Natural Science Foundation of Shandong Province (Grant No. ZR2019BA002, ZR2017BA027).
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