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Optimal error estimates of the penalty finite element method for micropolar fluids equations

 

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Opened Access Optimal error estimates of the penalty finite element method for micropolar fluids equations
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Author: Ortega Torres, Elva Eliana
Rojas Medar, Marko Antonio
Date: 2007-09
Published in: XX Congreso de Ecuaciones Diferenciales y Aplicaciones. Sevilla, 24-28 de septiembre de 2007
Document type: Presentation
Abstract: An optimal error estimate of the numerical velocity, pressure and angular velocity, is proved for the fully discrete penalty finite element method of the micropolar equations, when the parameters ², ∆t and h are sufficiently small. In order to obtain above we present the time discretization of the penalty micropolar equation which is based on the backward Euler scheme; the spatial discretization of the time discretized penalty Micropolar equation is based on a finite elements space pair (Hh, Lh) which satisfies some approximate assumption.
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URI: http://hdl.handle.net/11441/35165

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