Corpus ID: 220646649

Accurate Discretization Of Poroelasticity Without Darcy Stability - Stokes-Biot Stability Revisited

@article{Mardal2020AccurateDO,
  title={Accurate Discretization Of Poroelasticity Without Darcy Stability - Stokes-Biot Stability Revisited},
  author={K. Mardal and M. Rognes and Travis B. Thompson},
  journal={ArXiv},
  year={2020},
  volume={abs/2007.10012}
}
  • K. Mardal, M. Rognes, Travis B. Thompson
  • Published 2020
  • Computer Science, Mathematics
  • ArXiv
  • In this manuscript we focus on the question: what is the correct notion of StokesBiot stability? Stokes-Biot stable discretizations have been introduced, independently by several authors, as a means of discretizing Biot’s equations of poroelasticity; such schemes retain their stability and convergence properties, with respect to appropriately defined norms, in the context of a vanishing storage coefficient and a vanishing hydraulic conductivity. The basic premise of a Stokes-Biot stable… CONTINUE READING

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