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Numerical analysis of a stabilized finite element approximation for the three-field linearized viscoelastic fluid problem using arbitrary interpolations

Author
Castillo, E.; Codina, R.
Type of activity
Journal article
Journal
ESAIM. Mathematical modeling and numerical analysis. Modelisation mathématique
Date of publication
2017-07
Volume
51
Number
4
First page
1407
Last page
1407
DOI
https://doi.org/10.1051/m2an/2016068 Open in new window
Repository
http://hdl.handle.net/2117/108029 Open in new window
https://www.researchgate.net/publication/295859698_Numerical_analysis_of_a_stabilized_finite_element_approximation_for_the_three-field_linearized_viscoelastic_fluid_problem_using_arbitrary_interpolations Open in new window
URL
https://www.esaim-m2an.org/component/article?access=doi&doi=10.1051/m2an/2016068 Open in new window
Abstract
In this paper we present the numerical analysis of a three-field stabilized finite element formulation recently proposed to approximate viscoelastic flows. The three-field viscoelastic fluid flow problem may suffer from two types of numerical instabilities: on the one hand we have the two inf-sup conditions related to the mixed nature problem and, on the other, the convective nature of the momentum and constitutive equations may produce global and local oscillations in the numerical approximatio...
Citation
Castillo, E., Codina, R. Numerical analysis of a stabilized finite element approximation for the three-field linearized viscoelastic fluid problem using arbitrary interpolations. "ESAIM: mathematical modelling and numerical analysis (ESAIM: M2AN)", Juliol 2017, vol. 51, núm. 4, p. 1407.
Keywords
Inf-sup conditions, Oldroyd-B, Stabilized finite element methods, Viscoelastic fluids
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

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