摘要
讨论了重调和方程三维Adini元的特征值的渐进展开,通过展开式指出其特征值是下界逼近,并指出收敛阶为O(h^2),并用数值实验验证我们的理论分析.
This paper discusses the 3-D biharmonic equation's expansion for eigenvalue of Adini element and the application of the expansion. We point out the lower approximation and its convergence order, O(h^2), of eigenvalue by this expansion, and then make numerical experiment and verify our theoretical analysis.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第24期227-233,共7页
Mathematics in Practice and Theory
基金
贵州省科学技术基金(黔科合J字[2011]2111号)
关键词
三维Adini元
渐进展开
非协调元
重调和方程
3-D Adini element
asymptotic expansion
nonconforming element
biharmonic equation