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Finite element approximation of the three-field formulation of the stokes problem using arbitrary interpolations

Author
Codina, R.
Type of activity
Journal article
Journal
SIAM journal on numerical analysis
Date of publication
2009-01
Volume
47
Number
1
First page
699
Last page
718
DOI
https://doi.org/10.1137/080712726 Open in new window
URL
http://epubs.siam.org/doi/abs/10.1137/080712726 Open in new window
Abstract
The stress-displacement-pressure formulation of the elasticity problem may suffer from two types of numerical instabilities related to the finite element interpolation of the unknowns. The first is the classical pressure instability that occurs when the solid is incompressible, whereas the second is the lack of stability in the stresses. To overcome these instabilities, there are two options. The first is to use different interpolation for all the unknowns satisfying two inf-sup conditions. Wher...
Keywords
Stokes problem, stabilized finite elements, stress-displacement-pressure
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants