Partition of Unity Finite Element Method for Short Wave Propagation in Solids

LI Xi-kui; ZHOU Hao-yang

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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, 2005, 26(8): 965-971.

Citation:

LI Xi-kui, ZHOU Hao-yang. Partition of Unity Finite Element Method for Short Wave Propagation in Solids[J]. Applied Mathematics and Mechanics, 2005, 26(8): 965-971.

Citation:

LI Xi-kui, ZHOU Hao-yang. Partition of Unity Finite Element Method for Short Wave Propagation in Solids[J]. Applied Mathematics and Mechanics, 2005, 26(8): 965-971.

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Partition of Unity Finite Element Method for Short Wave Propagation in Solids

State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, P. R. China

Received Date: 2003-06-04
Rev Recd Date: 2005-02-01
Publish Date: 2005-08-15

Abstract

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.
- short wave propagation,
- solid continuum,
- partition of unity finite element method

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References(8)

References

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