# 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} }

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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A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot's model. Part I - Theoretical aspects

- Mathematics, Computer Science
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