A Quadrilateral ‘Mini’ Finite Element for the Stokes Problem Using a Single Bubble Function
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@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 = {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 suffcient 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.},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/10484.html}
}
TY - JOUR
T1 - A Quadrilateral ‘Mini’ Finite Element for the Stokes Problem Using a Single Bubble Function
AU - Bishnu P. Lamichhane
JO - International Journal of Numerical Analysis and Modeling
VL - 6
SP - 869
EP - 878
PY - 2017
DA - 2017/10
SN - 14
DO - http://dor.org/
UR - https://global-sci.org/intro/article_detail/ijnam/10484.html
KW - Stokes equations
KW - mixed finite elements
KW - Mini finite element
KW - inf-sup condition
KW - bubble function
AB - 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 suffcient 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.
Bishnu P. Lamichhane. (1970). A Quadrilateral ‘Mini’ Finite Element for the Stokes Problem Using a Single Bubble Function.
International Journal of Numerical Analysis and Modeling. 14 (6).
869-878.
doi:
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