A nonconforming finite element method for the Biot's consolidation model in poroelasticity.

Hu, Xiaozhe.

Rodrigo, Carmen.

Gaspar, Francisco J.

Zikatanov, Ludmil.


  • A stable finite element scheme that avoids pressure oscillations for a three-field Biot's model in poroelasticity is considered. The involved variables are the displacements, fluid flux (Darcy velocity), and the pore pressure, and they are discretized by using the lowest possible approximation order: Crouzeix-Raviart finite elements for the displacements, lowest order Raviart-Thomas-Nédélec elements ... read more
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  • Hu, Xiaozhe, Carmen Rodrigo, Francisco J. Gaspar, and Ludmil T. Zikatanov. "A Nonconforming Finite Element Method for the Biot's Consolidation Model in Poroelasticity." Journal of Computational and Applied Mathematics 310 (January 2017): 143-54. https://doi.org/10.1016/j.cam.2016.06.003.
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