| Issue |
ESAIM: M2AN
Volume 48, Number 4, July-August 2014
|
|
|---|---|---|
| Page(s) | 955 - 968 | |
| DOI | https://doi.org/10.1051/m2an/2013129 | |
| Published online | 30 June 2014 | |
A new quadrilateral MINI-element for Stokes equations
Department of Mathematics, Konkuk University,
143-701
Seoul,
Korea
cjpark@konkuk.ac.kr
Received: 7 May 2012
Revised: 5 August 2013
We introduce a new stable MINI-element pair for incompressible Stokes equations on quadrilateral meshes, which uses the smallest number of bubbles for the velocity. The pressure is discretized with the P1-midpoint-edge-continuous elements and each component of the velocity field is done with the standard Q1-conforming elements enriched by one bubble a quadrilateral. The superconvergence in the pressure of the proposed pair is analyzed on uniform rectangular meshes, and tested numerically on uniform and non-uniform meshes.
Mathematics Subject Classification: 65N30 / 74S05 / 76M10
Key words: MINI-element / superconvergence
© EDP Sciences, SMAI, 2014
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