A Parameter-Robust Iterative Method for Stokes-Darcy Problems Retaining Local Mass Conservation

@article{Boon2020API,
  title={A Parameter-Robust Iterative Method for Stokes-Darcy Problems Retaining Local Mass Conservation},
  author={Wietse M. Boon},
  journal={ArXiv},
  year={2020},
  volume={abs/2209.13421}
}
  • W. Boon
  • Published 7 May 2020
  • Mathematics
  • ArXiv
We consider a coupled model of free-flow and porous medium flow, governed by stationary Stokes and Darcy flow, respectively. The coupling between the two systems is enforced by introducing a single variable representing the normal flux across the interface. The problem is reduced to a system concerning only the interface flux variable, which is shown to be well-posed in appropriately weighted norms. An iterative solution scheme is then proposed to solve the reduced problem such that mass is… 

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