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《Advances in Mechanics》 2007-02
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LI Luxian~(1,+) Kunimatsu Sunao~2 WANG Aiqin~1 ~1School of Aerospace/MOE Key Laboratory for Strength and Vibration,Xi'an Jiaotong University,Xi'an 710049,China ~2Active Fault Research Center(AFRC),National Institute of Advanced Industrial Science and Technology(AIST),Tsukuba,Ibaraki,305-8567,Japan  
An infinite element is the one that can handle a domain of infinity.It is a special finite element, and can have a seamless connection with convertional finite elements.It can be a mapped infinite element or a non-mapped infinite element.The former,such as Bettess element and Astley element,needs geometry mapping and shape functions in terms of local coordinates,while for the latter,the shape functions are directly expressed in terms of global coordinates.This paper reviews the state-of-the-art and recent advances of the infinite element method for unbounded domains.First,the concept and features of the infinite element method are introduced.Then,taking the wave problems governed by the Helmholtz equation as an example,several conventional infinite elements such as the Bettess element,the Astley element and the Burnett element are compared and reviewed.Next,we introduce the generalized infinite element and its relation to the conventional infinite elements.Finally,the applications of the infinite element to various problems are summarized.
【Fund】: 国家自然科学基金(10472090 10572109);; 教育部新世纪优秀人才计划(NCET-04-0930)资助项目~~
【CateGory Index】: TB115
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