MATHEMATICAL ANALYSIS FOR QUADRILATERAL ROTATED Q_1 ELEMENT Ⅱ: POINCARE INEQUALITY AND TRACE INEQUALITY

作     者：Ping-bing Ming Zhong-ci Shi 

作者机构：Institute of Computational Mathematics Chinese Academy of Sciences Beijing 100080 China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2003年第21卷第3期

页      面：277-286页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070102[理学-计算数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：The work of P.-B.Ming was partially supported by the National Natural Science Foundation of China 10201033 

主　　题：Quadrilateral rotated Q1 element Poincare inequality Trace inequality. 

摘      要：This is the second part of the paper for the mathematical study of nonconforming rotated Q1 element (NRQ1 hereafter) on arbitrary quadrilateral meshes. Some Poincare Inequalities are proved without assuming the quasi-uniformity of the mesh subdivision. A discrete trace inequality is also proved.