Int. J. Numer. Anal. Mod., 3 (2006), pp. 322-332.


Superconvergence studies of quadrilateral nonconforming rotated Q_1 elements

Pingbing Ming 1, Zhong-ci Shi 1, Yun Xu 1

1 Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, No. 55. Zhong-Guan-Cun East Road, Beijing, 100080, China

Received by the editors July 31, 2004 and, in revised form, March 30, 2005
Abstract

For the nonconforming rotated Q(1) element over a mildly distorted quadrilateral mesh, we propose a superconvergence property at the element center, the vertices and the midpoints of four edges. Numerics are presented to confirm this observation.

AMS subject classifications: 35R35, 49J40, 60G40
Key words: superconvergence; nonconforming rotated Q(1) element; Kershaw mesh
Email: mpb@lsec.cc.ac.cn (P. Ming), shi@lsec.cc.ac.cn (Z. Shi), yunxu@lsec.cc.ac.cn (Y. Xu)
 

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