摘要
给出单位正方形及直角梯形上的Poincare不等式和迹不等式的精细式和证明,从而纠正了已有文献的错误或不足。这些不等式在处理不满足正则性剖分假设的窄边四边形单元的插值误差时起着重要作用。
The fine forms and proofs of the Poincare's inequalities on a square and a trapezoid are given respectively, which improve the known results and correct a mistake of theirs. These inequalities play important roles in the interpolation error estimate on the narrow quadrangle elements, for which the regular condition is not satisfied.
出处
《工程数学学报》
CSCD
北大核心
2003年第1期27-32,共6页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金项目(10171092)
河南省自然科学基金项目
河南省创新人才工程基金
回国留学基金.
