A new quadrilateral MINI-element for Stokes equations
Department of Mathematics, Konkuk University,
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
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