TY - JOUR
T1 - Optimal error estimate of the penalty finite element method for the micropolar fluid equations
AU - Ortega-Torres, Elva
AU - Rojas-Medar, Marko
PY - 2008/5
Y1 - 2008/5
N2 - 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 , 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 (Xh, Mh) that satisfies some approximations properties.
AB - 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 , 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 (Xh, Mh) that satisfies some approximations properties.
KW - Finite elements method
KW - Fully discrete
KW - Micropolar fluids
KW - Penalty
UR - https://www.scopus.com/pages/publications/45849139720
U2 - 10.1080/01630560802099555
DO - 10.1080/01630560802099555
M3 - Article
AN - SCOPUS:45849139720
SN - 0163-0563
VL - 29
SP - 612
EP - 637
JO - Numerical Functional Analysis and Optimization
JF - Numerical Functional Analysis and Optimization
IS - 5-6
ER -