Corpus ID: 214611936

Parameter robust preconditioning by congruence for multiple-network poroelasticity

@article{Piersanti2020ParameterRP,
  title={Parameter robust preconditioning by congruence for multiple-network poroelasticity},
  author={E. Piersanti and J. Lee and Travis Thompson and K. Mardal and M. Rognes},
  journal={ArXiv},
  year={2020},
  volume={abs/2003.09641}
}
The mechanical behaviour of a poroelastic medium permeated by multiple interacting fluid networks can be described by a system of time-dependent partial differential equations known as the multiple-network poroelasticity (MPET) equations or multi-porosity/multi-permeability systems. These equations generalize Biot's equations, which describe the mechanics of the one-network case. The efficient numerical solution of the MPET equations is challenging, in part due to the complexity of the system… Expand
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Conservative discretizations and parameter-robust preconditioners for Biot and multiple-network flux-based poroelasticity models
A Mixed Finite Element Method for Nearly Incompressible Multiple-Network Poroelasticity
Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model
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