PARTITION OF UNITY FINITE ELEMENT METHOD FOR SHORT WAVE PROPAGATION IN SOLIDS 被引量：2

PARTITION OF UNITY FINITE ELEMENT METHOD FOR SHORT WAVE PROPAGATION IN SOLIDS

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摘要 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. 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.

作者 LI Xi-kui（李锡夔） ZHOU Hao-yang（周浩洋）

机构地区 State Key Laboratory for Structural Analysis of Industrial Equipment

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第8期1056-1063,共8页 应用数学和力学（英文版）

基金国家重点基础研究发展计划(973计划)，国家自然科学基金

关键词 short wave propagation solid continuum partition of unity finite element method short wave propagation solid continuum partition of unity finite element method

分类号 O34 [理学—固体力学]

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1O rtiz P,Sanchez E.An improved partition of unity finite elem entmodel for diffraction problem s[].International Journal for Numerical Methods in Engineering.2001
2S trouboulis T,Babuska I,Copps K.The design and analysis of the generalized finite elem ent m ethod[].Computer Methods in Applied Mechanics and Engineering.2000
3Deraem aeker A,Babuska I,Bouillard P.D ispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dim ension[].International Journal for Numerical Methods in Engineering.1999
4Duarte C A M,Oden J T.An hp adaptive m ethod using clouds[].Computer Methods in Applied Mechanics and Engineering.1996
5Durate C A,Babuska I,Oden J T.Generalized finite elem entm ethods for three-dim ensional structuralm echanics problem s[].Computers and Structures.2000
6Laghrouche O,Bettess P,A stley R J.M odelling of shortwave diffraction problem s using approxim ating system of plane waves[].International Journal for Numerical Methods in Engineering.2002
7Zienkiew icz O C.Achievem ents and som e unsolved problem s of the finite elem ent m ethod[].International Journal for Numerical Methods in Engineering.2000