Mathematical Analysis for Quadrilateral Rotated Q1 Element III: the Effect of Numerical Integration

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Volume 21, Issue 3

Ping-bing Ming & Zhong-ci Shi

DOI:

J. Comp. Math., 21 (2003), pp. 287-294

Published online: 2003-06

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Abstract

This is the third part of the paper for the rotated Q1 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 Q1 unisolvent set. It is the optimal numerical integration formula over a quadrilateral mesh wigh least sampling points up to now.

Keywords

Quadrilateral rotated Q1 element Numerical quadrature

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@Article{JCM-21-287, author = {}, title = {Mathematical Analysis for Quadrilateral Rotated Q1 Element III: the Effect of Numerical Integration}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {3}, pages = {287--294}, abstract = { This is the third part of the paper for the rotated Q1 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 Q1 unisolvent set. It is the optimal numerical integration formula over a quadrilateral mesh wigh least sampling points up to now. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8880.html} }

TY - JOUR T1 - Mathematical Analysis for Quadrilateral Rotated Q1 Element III: the Effect of Numerical Integration JO - Journal of Computational Mathematics VL - 3 SP - 287 EP - 294 PY - 2003 DA - 2003/06 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8880.html KW - Quadrilateral rotated Q1 element KW - Numerical quadrature AB - This is the third part of the paper for the rotated Q1 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 Q1 unisolvent set. It is the optimal numerical integration formula over a quadrilateral mesh wigh least sampling points up to now.

Ping-bing Ming & Zhong-ci Shi . (1970). Mathematical Analysis for Quadrilateral Rotated Q1 Element III: the Effect of Numerical Integration. Journal of Computational Mathematics. 21 (3). 287-294. doi:

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