Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 3 : pp. 327–336
Abstract
Least-squares mixed finite element methods are proposed and analyzed for the incompressible magnetohydrodynamic equations, where the two vorticities are additionally introduced as independent variables in order that the primal equations are transformed into the first-order systems. We show that there hold the coerciveness and the optimal error bound in appropriate norms for all variables under consideration, which can be approximated by all kinds of continuous element. Consequently, the Babuška-Brezzi condition (i.e. the inf-sup condition) and the indefiniteness are avoided which are essential features of the classical mixed methods.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8819
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 3 : pp. 327–336
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: The incompressible magnetohydrodynamic equation Vorticity Least-squares mixed finite element method.