A History-dependent Dynamic Biot Model
<|reference_start|>A History-dependent Dynamic Biot Model: In this work, we consider a fully dynamic Biot model that includes memory effects due to evolving permeability. Time integrals are used to account for the change in structure. We propose an iterative splitting scheme for this model, extending the fixed-stress split for the quasi-static Biot. We use finite elements in space and a backward Euler discretization in time. The performance of the method is demonstrated through a numerical experiment<|reference_end|>
@article{stokke2024a,
    title={A History-dependent Dynamic Biot Model},
    author={Jakob S. Stokke and Morten Jakobsen and Kundan Kumar and Florin A.
  Radu},
    journal={arXiv preprint arXiv:2402.07669},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.07669},
    primaryClass={math.NA cs.NA}
}