@Article{IJNAM-14-869,
author = {Bishnu P. Lamichhane},
title = {A Quadrilateral ‘Mini’ Finite Element for the Stokes Problem Using a Single Bubble Function},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2017},
volume = {14},
number = {6},
pages = {869--878},
abstract = {<p style="text-align: justify;">We consider a quadrilateral ‘mini’ finite element for approximating the solution of
Stokes equations using a quadrilateral mesh. We use the standard bilinear finite element space
enriched with element-wise defined bubble functions for the velocity and the standard bilinear
finite element space for the pressure space. With a simple modification of the standard bubble
function we show that a single bubble function is sufficient to ensure the inf-sup condition. We
have thus improved an earlier result on the quadrilateral ‘mini’ element, where more than one
bubble function are used to get the stability.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/10484.html}
}