In this work we analyze an optimized artificial fixed-stress iteration schemefor the numerical approximation of the Biot system modelling fluid flow indeformable porous media. The iteration is based on a prescribed constantartificial volumetric mean total stress in the first half step. Theoptimization comes through the adaptation of a numerical stabilization ortuning parameter and aims at an acceleration of the iterations. The separatedsubproblems of fluid flow, written as a mixed first order in space system, andmechanical deformation are discretized by space-time finite element methods ofarbitrary order. Continuous and discontinuous discretizations of the timevariable are encountered. The convergence of the iteration schemes is provedfor the continuous and fully discrete case. The choice of the optimizationparameter is identified in the proofs of convergence of the iterations. Theanalyses are illustrated and confirmed by numerical experiments.
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