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Mathematical Analysis for Quadrilateral Rotated $Q_1$ Element III: The Effect of Numerical Integration

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.

Author Details

Ping-Bing Ming

Zhong-Ci Shi