A second-order iterative time integration scheme for linear poroelasticity
<|reference_start|>A second-order iterative time integration scheme for linear poroelasticity: 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.<|reference_end|>
@article{altmann2024a,
    title={A second-order iterative time integration scheme for linear
  poroelasticity},
    author={R. Altmann, M. Deiml},
    journal={arXiv preprint arXiv:2403.12699},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.12699},
    primaryClass={math.NA cs.NA}
}