Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 75, Issue 11, Pages 1282-1300Publisher
WILEY
DOI: 10.1002/nme.2295
Keywords
Biot's model; finite elements; stabilization
Funding
- MEC/FEDER MTM [2004-019051]
- Intas Project [03-50-4395]
- [Diputacion General de Aragon]
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In this paper a stabilized finite element scheme for the poroelasticity equations is proposed. This method, based on the perturbation of the flow equation, allows US to Use continuous piecewise linear approximation spaces for both displacements and pressure, obtaining Solutions without oscillations independently of the chosen discretization parameters. The perturbation term depends on a parameter which is established in terms of the mesh size and the properties of the material. In the one-dimensional case, this parameter is shown to be optimal. Some numerical experiments are presented indicating the efficiency of the proposed stabilization technique. Copyright (C) 2008 John Wiley & Sons, Ltd.
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