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A new quadrilateral MINI-element for Stokes equations

Published online by Cambridge University Press:  30 June 2014

Oh-In Kwon  and
Chunjae Park
Oh-In Kwon
Affiliation:
Department of Mathematics, Konkuk University, 143-701 Seoul, Korea. cjpark@konkuk.ac.kr
Chunjae Park
Affiliation:
Department of Mathematics, Konkuk University, 143-701 Seoul, Korea. cjpark@konkuk.ac.kr
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Abstract

We introduce a new stable MINI-element pair for incompressible Stokes equations onquadrilateral meshes, which uses the smallest number of bubbles for the velocity. Thepressure is discretized with the P1-midpoint-edge-continuous elements and each component of the velocity field is done withthe standard Q1-conforming elements enriched byone bubble a quadrilateral. The superconvergence in the pressure of the proposed pair isanalyzed on uniform rectangular meshes, and tested numerically on uniform and non-uniformmeshes.

Keywords

MINI-elementsuperconvergence
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 48 , Issue 4 , July 2014 , pp. 955 - 968
Copyright
© EDP Sciences, SMAI, 2014

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