82 citations · 315 across the 31 of their papers we have counts for
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On the optimization of the fixed-stress splitting for Biot's equations
Erlend Storvik, Jakub Wiktor Both, Kundan Kumar +2
In this work we are interested in effectively solving the quasi-static, linear Biot model for poromechanics. We consider the fixed-stress splitting scheme, which is a popular metho…
Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media
Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten +1
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 equ…
Numerical investigation on the fixed-stress splitting scheme for Biot's equations: Optimality of the tuning parameter
Jakub Wiktor Both, Uwe Köcher
We study the numerical solution of the quasi-static linear Biot's equations solved iteratively by the fixed-stress splitting scheme. In each iteration the mechanical and flow probl…
Linear iterative schemes for doubly degenerate parabolic equations
Jakub W. Both, Kundan Kumar, Jan M. Nordbotten +2
Mathematical models for flow and reactive transport in porous media often involve non-linear, degenerate parabolic equations. Their solutions have low regularity, and therefore low…