Year: 2009
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 2 : pp. 293–310
Abstract
In this paper, a new stable nonconforming mixed finite element scheme is proposed for the stationary conduction-convection problem, in which a new low order Crouzeix-Raviart type nonconforming rectangular element is taken as approximation space for the velocity, the piecewise constant element for the pressure and the bilinear element for the temperature, respectively. The convergence analysis is presented and the optimal error estimates in a broken $H^1$-norm for the velocity, $L^2$-norm for the pressure and $H^1$-seminorm for the temperature are derived.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-IJNAM-769
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 2 : pp. 293–310
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Stationary conduction-convection problem nonconforming mixed finite element the optimal error estimates.