Stability and monotonicity for some discretizations of the Biot's consolidation model.

Rodrigo, Carmen.

Gaspar, Francisco J.

Hu, Xiaozhe.

Zikatanov, Ludmil.

2016

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  • We consider finite element discretizations of the Biot's consolidation model in poroelasticity with MINI and stabilized P1-P1 elements. We analyze the convergence of the fully discrete model based on spatial discretization with these types of finite elements and implicit Euler method in time. We also address the issue related to the presence of non-physical oscillations in the pressure approximation ... read more
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  • Rodrigo, C., F.J. Gaspar, X. Hu, and L.T. Zikatanov. "Stability and Monotonicity for Some Discretizations of the Biot's Consolidation Model." Computer Methods in Applied Mechanics and Engineering 298 (January 2016): 183-204. https://doi.org/10.1016/j.cma.2015.09.019.
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