TY - JOUR
T1 - An Inf-Sup Stabilized Finite Element Method by Multiscale Functions for the Stokes Equations
AU - Ge , Zhihao
AU - He , Yinnian
AU - Song , Lingyu
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 273
EP - 287
PY - 2009
DA - 2009/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aamm/8369.html
KW - stabilized finite element method, multiscale functions, Petrov-Galerkin approach, inf-sup condition.
AB - <p style="text-align: justify;">In the paper, an inf-sup stabilized finite element method by multiscale
functions for the Stokes equations is discussed. The key idea is to use a Petrov-Galerkin approach based on the enrichment of the standard polynomial space for
the velocity component with multiscale functions. The inf-sup condition for $P_1$-$P_0$ triangular element (or $Q_1$-$P_0$ quadrilateral element) is established. And the optimal
error estimates of the stabilized finite element method for the Stokes equations
are obtained.</p>