A Mixed Finite Element Method for Nearly Incompressible Multiple-Network Poroelasticity

@article{Lee2019AMF,
  title={A Mixed Finite Element Method for Nearly Incompressible Multiple-Network Poroelasticity},
  author={Jeonghun J. Lee and E. Piersanti and Kent-Andr{\'e} Mardal and Marie E. Rognes},
  journal={SIAM J. Sci. Comput.},
  year={2019},
  volume={41},
  pages={A722-A747}
}
In this paper, we present and analyze a new mixed finite element formulation of a general family of quasi-static multiple-network poroelasticity (MPET) equations. The MPET equations describe flow and deformation in an elastic porous medium that is permeated by multiple fluid networks of differing characteristics. As such, the MPET equations represent a generalization of Biot's equations, and numerical discretizations of the MPET equations face similar challenges. Here, we focus on the nearly… Expand
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