Superconvergence studies of quadrilateral nonconforming rotated Q_1 elements
Pingbing Ming 1, Zhong-ci Shi 1, Yun Xu 11 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
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: firstname.lastname@example.org (P. Ming), email@example.com (Z. Shi), firstname.lastname@example.org (Y. Xu)