A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model

@article{Ganis2014AGJ,
  title={A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model},
  author={Benjamin Ganis and Kundan Kumar and Gergina Pencheva and Mary F. Wheeler and Ivan Yotov},
  journal={Multiscale Model. Simul.},
  year={2014},
  volume={12},
  pages={1401-1423}
}
We consider a fully implicit formulation for two-phase flow in a porous medium with capillarity, gravity, and compressibility in three dimensions. The method is implicit in time and uses the multiscale mortar mixed finite element method for a spatial discretization in a nonoverlapping domain decomposition context. The interface conditions between subdomains are enforced in terms of Lagrange multiplier variables defined on a mortar space. The novel approach in this work is to linearize the… 

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A multiblock approach to modelling flow in porous media allows for coupling different physical and numerical models in a single simulation through the use of mortar finite elements. The resulting
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