Iterative time integration for poroelasticity with nonlinear permeability

Abstract In this paper, we consider iterative time stepping schemes for poroelasticity including a nonlinearity in the flow equation. For this, we extend recently introduced schemes, which converge with first‐ and second‐order in the linear case, to the nonlinear setting. In each step of the iteration process, the elastic and flow equations are decoupled, which automatically linearizes the system. Numerical examples prove the efficiency of the iterative schemes.