# 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 systemâ€¦Â Expand

#### One Citation

Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressure

- Mathematics, Computer Science
- ArXiv
- 2020

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