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

Autor
Codina, R.
Tipus d'activitat
Article en revista
Revista
SIAM journal on numerical analysis
Data de publicació
2009-01
Volum
47
Número
1
Pàgina inicial
699
Pàgina final
718
DOI
https://doi.org/10.1137/080712726 Obrir en finestra nova
URL
http://epubs.siam.org/doi/abs/10.1137/080712726 Obrir en finestra nova
Resum
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...
Paraules clau
Stokes Problem, Stress-displacement-pressure, Stabilized Finite Elements
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

Participants