full
search.png

Search

close.png

Cancel

arrow
Volume 21, Issue 3
Mathematical Analysis for Quadrilateral Rotated $Q_1$ Element II: Poincarè Inequality and Trace Inequality

Ping-Bing Ming & Zhong-Ci Shi

J. Comp. Math., 21 (2003), pp. 277-286.

Published online: 2003-06

Preview Full PDF 2488 25211

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

Quadrilateral rotated $Q_1$ element, Poincarè inequality, Trace inequality.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-21-277, author = {Ming , Ping-Bing and Shi , Zhong-Ci}, title = {Mathematical Analysis for Quadrilateral Rotated $Q_1$ Element II: Poincarè Inequality and Trace Inequality}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8879.html} }
TY - JOUR T1 - Mathematical Analysis for Quadrilateral Rotated $Q_1$ Element II: Poincarè Inequality and Trace Inequality AU - Ming , Ping-Bing AU - Shi , Zhong-Ci JO - Journal of Computational Mathematics VL - 3 SP - 277 EP - 286 PY - 2003 DA - 2003/06 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8879.html KW - Quadrilateral rotated $Q_1$ element, Poincarè inequality, Trace inequality. AB -

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.

Ming , Ping-Bing and Shi , Zhong-Ci. (2003). Mathematical Analysis for Quadrilateral Rotated $Q_1$ Element II: Poincarè Inequality and Trace Inequality. Journal of Computational Mathematics. 21 (3). 277-286. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard