@Article{AAMM-1-2,
author = {Zhihao, Ge and Yinnian, He and Song, Lingyu},
title = {An Inf-Sup Stabilized Finite Element Method by Multiscale Functions for the Stokes Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2009},
volume = {1},
number = {2},
pages = {273--287},
abstract = {<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>},
issn = {2075-1354},
doi = {https://doi.org/2009-AAMM-8369},
url = {https://global-sci.com/article/73685/an-inf-sup-stabilized-finite-element-method-by-multiscale-functions-for-the-stokes-equations}
}