Mathematical Analysis for Quadrilateral Rotated Q1 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 Q1 element (NRQ1 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 Q1 element Poincarè inequality Trace inequality.