Optimal Error Estimate of the Penalty Finite Element Method for the Micropolar Fluid Equations |
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Authors: | Elva Ortega-Torres Marko Rojas-Medar |
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Institution: | 1. Departamento de Matemáticas , Universidad de Antofagasta , Antofagasta, Chile eortega@uantof.cl;3. DMA-IMECC , Universidade Estadual de Campinas , Campinas-SP, Brazil |
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Abstract: | We present an optimal error estimate of the numerical velocity, pressure, and angular velocity for the fully discrete penalty finite element method of the micropolar equations when the parameters ?, Δ t, and h are sufficiently small. In order to obtain this estimate, we present the time discretization of the penalty micropolar equation that 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 (X h , M h ) that satisfies some approximations properties. |
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Keywords: | Finite elements method Fully discrete Micropolar fluids Penalty |
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