| PARTITION OF UNITY FINITE ELEMENT METHOD FOR SHORT WAVE PROPAGATION IN SOLIDS |
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| 作者姓名： | LI Xi-kui |
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| 作者单位： | State Key Laboratory for Structural Analysis of Industrial Equipment，Dalian University of Technology，State Key Laboratory for Structural Analysis of Industrial Equipment，Dalian University of Technology Dalian 116024，P.R.China，Dalian 116024，P.R.China |
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| 基金项目： | Project supported by the National Basic Research Program of China (973Project) (No.2002CB412709) and the National Natural Science Foundation of China (Nos.50278012,10272027,19832010) |
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| 摘 要： | IntroductionIt is known that standard finite element procedure is unable to simulate the wavepropagation with high oscillations or gradients in space in the media with reasonableefficiency and accuracy due to the nature of polynomial interpolation approxi…
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| 关 键 词： | 固体力学 有限元分析 短波传播 数字仿真 |
| 文章编号： | 0253-4827（2005）08-1056-08 |
| 收稿时间： | 2003-06-04 |
| 修稿时间： | 2005-02-01 |
Partition of unity finite element method for short wave propagation in solids |
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| Li Xi-kui,Zhou Hao-yang.PARTITION OF UNITY FINITE ELEMENT METHOD FOR SHORT WAVE PROPAGATION IN SOLIDS[J].Applied Mathematics and Mechanics(English Edition),2005,26(8):1056-1063. |
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| Authors: | Li Xi-kui Zhou Hao-yang |
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| Institution: | State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, P. R. China |
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| Abstract: | 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. |
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| Keywords: | short wave propagation solid continuum partition of unity finite element method |
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