A second-order iterative time integration scheme for linear poroelasticity

Abstract

We propose a novel time stepping method for linear poroelasticity by extending a recent iterative decoupling approach to the second-order case. This results in a two-step scheme with an inner iteration and a relaxation step. We prove second-order convergence for a prescribed number of inner iteration steps, only depending on the coupling strength of the elastic and the flow equation. The efficiency of the scheme is illustrated by a number of numerical experiments, including a simulation of three-dimensional brain tissue.

References in corpus (4)

• Space-time finite element approximation of the Biot poroelasticity system with iterative coupling
• Parameter-robust stability of classical three-field formulation of Biot's consolidation model
• Higher-order iterative decoupling for poroelasticity
• A novel iterative time integration scheme for linear poroelasticity