[HTML][HTML] Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media

JW Both, K Kumar, JM Nordbotten, FA Radu - Computers & Mathematics …, 2019 - Elsevier
In this paper, we study the robust linearization of nonlinear poromechanics of unsaturated
materials. The model of interest couples the Richards equation with linear elasticity
equations, generalizing the classical Biot equations. In practice a monolithic solver is not
always available, defining the requirement for a linearization scheme to allow the use of
separate simulators. It is not met by the classical Newton method. We propose three different
linearization schemes incorporating the fixed-stress splitting scheme, coupled with an L …

Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media

J Wiktor Both, K Kumar, JM Nordbotten… - arXiv e …, 2018 - ui.adsabs.harvard.edu
In this paper, we study the robust linearization of nonlinear poromechanics of unsaturated
materials. The model of interest couples the Richards equation with linear elasticity
equations, employing the equivalent pore pressure. In practice a monolithic solver is not
always available, defining the requirement for a linearization scheme to allow the use of
separate simulators, which is not met by the classical Newton method. We propose three
different linearization schemes incorporating the fixed-stress splitting scheme, coupled with …
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