Mathematical Analysis for Quadrilateral Rotated $Q_1$ Element II: Poincarè Inequality and Trace Inequality
Year: 2003
Author: Ping-Bing Ming, Zhong-Ci Shi
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 3 : pp. 277–286
Abstract
This is the second part of the paper for the mathematical study of nonconforming rotated $Q_1$ element (NR$Q_1$ hereafter) on arbitrary quadrilateral meshes. Some Poincarè Inequalities are proved without assuming the quasi-uniformity of the mesh subdivision. A discrete trace inequality is also proved.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-8879
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 3 : pp. 277–286
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Quadrilateral rotated $Q_1$ element Poincarè inequality Trace inequality.