Year: 2017
International Journal of Numerical Analysis and Modeling, Vol. 14 (2017), Iss. 6 : pp. 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 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-IJNAM-10484
International Journal of Numerical Analysis and Modeling, Vol. 14 (2017), Iss. 6 : pp. 869–878
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Stokes equations mixed finite elements Mini finite element inf-sup condition bubble function.