Journal article
A stabilized finite element method for finite-strain three-field poroelasticity
- Abstract:
- We construct a stabilized finite-element method to compute flow and finitestrain deformations in an incompressible poroelastic medium. We employ a three- field mixed formulation to calculate displacement, fluid flux and pressure directly and introduce a Lagrange multiplier to enforce flux boundary conditions. We use a low order approximation, namely, continuous piecewise-linear approximation for the displacements and fluid flux, and piecewise-constant approximation for the pressure. This results in a simple matrix structure with low bandwidth. The method is stable in both the limiting cases of small and large permeability. Moreover, the discontinuous pressure space enables efficient approximation of steep gradients such as those occurring due to rapidly changing material coefficients or boundary conditions, both of which are commonly seen in physical and biological applications.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 1.5MB, Terms of use)
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- Publisher copy:
- 10.1007/s00466-017-1381-8
Authors
- Publisher:
- Springer Berlin Heidelberg
- Journal:
- Computational Mechanics More from this journal
- Volume:
- 60
- Issue:
- 1
- Pages:
- 51–68
- Publication date:
- 2017-01-01
- Acceptance date:
- 2017-01-23
- DOI:
- EISSN:
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1432-0924
- ISSN:
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0178-7675
- Pubs id:
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pubs:672351
- UUID:
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uuid:5af46bf1-bdb7-4db8-920e-c75874520c78
- Local pid:
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pubs:672351
- Source identifiers:
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672351
- Deposit date:
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2017-01-23
Terms of use
- Copyright holder:
- Berger et al
- Copyright date:
- 2017
- Notes:
-
Copyright
© 2017 The Authors.
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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