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An improved method for dispersion and stability of wave motion in finite element meshes

FANG Ying-guang; MO Hai-hong(Guangdong University of Technology, Guangzhou, 510080)(South China University of Technology, Guangzhou, 510641)  
On the basis of high-order shape function of displacement containing frequency factor, the dispersion equation of wave propagation in finite element meshes is derived from two -dimensional wave equation, and based on it, the wave motion stability condition is proposed. Fro ftn the theoretical and numerical results, it is shown that the behaviour of dispersion and stability is greatly improved by the finite element method presented in the paper.
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