摘要
本文给出了基于小波尺度函数展开的高阶导数及其在伽辽金有限元法中有关联的导数乘积积分的计算格式，从而实现了将小波伽辽金法用于求解高于二阶导数微分方程边值问题的数值计算，使其在结构力学问题求解中成为可能·数值算例表明：本方法具有良好的计算精度·
n this paper, an approach is proposed for taking calculations of high order differentials of scaling functions in wavelet theory in order to apply the wavelet Galerkin FEM to numerical analysis of those boundary-value problems with order higher than 2. After that, it is realized that the wavelet Galerkin FEM is used to solve mechanical problems such as bending of beams and plates. The numerical results show that this method has good precision.
出处
《应用数学和力学》
CSCD
北大核心
1998年第8期697-706,共10页
Applied Mathematics and Mechanics
基金
国家自然科学基金
国家教委留学回国人员科研基金
国家教委优秀年轻教师基金
关键词
小波理论
小波伽辽金法
有限元
梁
板
弯曲
applications of wavelet theory, scaling functions, operation of high-order derivations, Galerkin FEM, bending of beams and plates
