Mathematical Analysis for Quadrilateral Rotated $Q_1$ Element III: The Effect of Numerical Integration
Year: 2003
Author: Ping-Bing Ming, Zhong-Ci Shi
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 3 : pp. 287–294
Abstract
This is the third part of the paper for the rotated $Q_1$ nonconforming element on quadrilateral meshes for general second order elliptic problems. Some optimal numerical formulas are presented and analyzed. The novelty is that it includes a formula with only two sampling points which excludes even a $Q_1$ unisolvent set. It is the optimal numerical integration formula over a quadrilateral mesh with least sampling points up to now.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-8880
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 3 : pp. 287–294
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Quadrilateral rotated $Q_1$ element Numerical quadrature.