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Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales

Author
Codina, R.
Type of activity
Journal article
Journal
Applied numerical mathematics
Date of publication
2008-03
Volume
58
Number
3
First page
264
Last page
283
DOI
https://doi.org/10.1016/j.apnum.2006.11.011 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0168927406002194 Open in new window
Abstract
In this paper we present a stabilized finite element formulation to solve the Oseen equations as a model problem involving both convection effects and the incompressibility restriction. The need for stabilization techniques to solve this problem arises because of the restriction in the possible choices for the velocity and pressure spaces dictated by the inf–sup condition, as well as the instabilities encountered when convection is dominant. Both can be overcome by resorting from the standard ...
Keywords
Convection-dominated flows, Orthogonal subscales, Stabilized finite element methods, inf–sup condition
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants