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计算数学  2008 

MULTISCALE SYMPLECTIC GEOMETRIC ALGORITHM FOR THE WAVE EQUATIONS IN COMPOSITE MEDIA
三维复合介质波动方程多尺度辛几何算法

Keywords: multiscale asymptotic expansion,the wave equation with rapidly oscillating coefficients,composite media,finite element method,symplectic geometric scheme
多尺度渐近展开式
,波动方程,复合介质,有限元法,辛几何算法

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Abstract:

This paper discusses the multiscale analysis and numerical algorithms for the wave equa- tions with rapidly oscillating coefficients arising from the propagation in composite media. Higher-order correctors are presented and the associated explicit convergence rates are ob- tained.A multiscale symplectic geometric scheme are introduced.The numerical results clearly show the method of this paper is effective.

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