%0 Journal Article
%T MULTISCALE SYMPLECTIC GEOMETRIC ALGORITHM FOR THE  WAVE EQUATIONS IN COMPOSITE MEDIA<br>三维复合介质波动方程多尺度辛几何算法
%A Dong Qiaoli
%A Cao Liqun
%A Zhai Fangman
%A <br>董巧丽
%A 曹礼群
%A 翟方曼
%J 计算数学
%D 2008
%I 
%X 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.
%K multiscale asymptotic expansion
%K the wave equation with rapidly oscillating coefficients
%K composite media
%K finite element method
%K symplectic geometric scheme<br>多尺度渐近展开式
%K 波动方程
%K 复合介质
%K 有限元法
%K 辛几何算法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=CA28A1E3C37E593984465944DC73FE4B&yid=67289AFF6305E306&vid=340AC2BF8E7AB4FD&iid=E158A972A605785F&sid=B40AD8FE6FA88DE9&eid=A6683C8C0EB9BCA7&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=8