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Locking-free finite element methods for poroelasticity

Abstract:

We propose a new formulation along with a family of finite element schemes for the approximation of the interaction between fluid motion and linear mechanical response of a porous medium, known as Biot's consolidation problem. The steady-state version of the system is recast in terms of displacement, pressure, and volumetric stress, and both continuous and discrete formulations are analyzed as compact perturbations of invertible problems employing a Fredholm argument. In particular, the error...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1137/15M1050082

Authors


Oyarzúa, R More by this author
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Department:
Oxford, MPLS, Mathematical Institute
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Grant:
Anillo ACT1118 (ANANUM); Fondecyt 1161325
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Grant:
DIUBB project 151408 GI/VC
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Numerical Analysis Journal website
Volume:
54
Issue:
5
Pages:
2951-2951
Publication date:
2016-09-29
Acceptance date:
2016-07-13
DOI:
EISSN:
1095-7170
ISSN:
0036-1429
Pubs id:
pubs:652822
URN:
uri:9c4878ad-fd8a-4c73-bed8-7e778907f900
UUID:
uuid:9c4878ad-fd8a-4c73-bed8-7e778907f900
Local pid:
pubs:652822

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