Partition of unity finite element method for short wave propagation in solids

被引：3
|
作者：
Li Xi-kui
Zhou Hao-yang
机构：
[1] Dalian University of Technology,State Key Laboratory for Structural Analysis of Industrial Equipment
来源：
Applied Mathematics and Mechanics | 2005年 / 26卷 / 8期
关键词：
short wave propagation; solid continuum; partition of unity finite element method; O347. 4; A; 65M60;
D O I：
10.1007/BF02466419
中图分类号：
学科分类号：
摘要：
A partition of unity finite element method for numerical simulation of short wave propagation in solids is presented. The finite element spaces were constructed by multiplying the standard isoparametric finite element shape functions, which form a partition of unity, with the local subspaces defined on the corresponding shape functions, which include a priori knowledge about the wave motion equation in trial spaces and approximately reproduce the highly oscillatory properties within a single element. Numerical examples demonstrate the performance of the proposed partition of unity finite element in both computational accuracy and efficiency.
引用
收藏
页码：1056 / 1063
页数：7
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