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The fixed-stress split method has been widely used as solution method in the coupling of flow and geomechanics. In this work, we analyze the behaviour of an inexact version of this algorithm as smoother within a geometric multigrid method, in order to obtain an efficient monolithic solver for the Biot's problem. This solver combines the advantages of being a fully coupled method, with the benefit of decoupling the flow and the mechanics part in the smoothing algorithm. Moreover, thedoi:10.1016/j.cma.2017.08.025 fatcat:7o6hxgvi3rdj5dhg2rps3e6nre