Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 381, Issue 2, Pages 469-484Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2011.02.020
Keywords
Projection-based method; Finite element method; Error analysis; Natural convection equation
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We formulate a projection-based stabilization finite element technique for solving steady-state natural convection problems. In particular, we consider heat transport through combined solid and fluid media. This stabilization does not act on the large flow structures. Based on the projection stabilization idea, finite element error analysis of the problem is investigated and optimal errors for the velocity, temperature and pressure are established. We also present some numerical tests which both verify the theoretical predictions and demonstrate the method's promise. (C) 2011 Elsevier Inc. All rights reserved.
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