摘要
采样定理告诉人们进行离散逼近离散尺寸的极限是问题中所涉及最高频率波长的1/2.1/2波长是一理想值,在目前的有限元分析中,通常保证精度的空间离散尺寸远小于这一理想值.文中分析了这一现象的可能原因,同时给出了一种基于有限元的在一定条件下能够改进空间离散效率的动力模拟方法.
The discretization size is limited by the sampling theorem,the limit is 1/2 of the wavelength of highest frequency of the problem.The 1/2 of the wavelength is an ideal value,in general,the discretization size which could ensure the accuracy of the simulation is much smaller than this value in the traditional finite element method.The possible reason of the phenomena was analyzed.An efficient method was given to improve the accuracy of the simulation.
出处
《应用数学和力学》
CSCD
北大核心
2010年第11期1267-1275,共9页
Applied Mathematics and Mechanics
基金
广州中国科学院工业技术研究院CAE发展基金的资助
关键词
采样定理
有限元离散效率
基于变形修正的宏单元
频散效应
sampling theorem
the efficiency of finite element discretization
macroelement based on deformation modification
dispersion relation
