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    Dispersion Error Reduction for Acoustic Problems Using the Finite Element Least Square Point Interpolation Method

    Source: Journal of Vibration and Acoustics:;2015:;volume( 137 ):;issue: 002::page 21013
    Author:
    Yao, L. Y.
    ,
    Zhou, J. W.
    ,
    Zhou, Z.
    ,
    Li, L.
    DOI: 10.1115/1.4029160
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The shape function of the finite elementleast square point interpolation method (FELSPIM) combines the quadrilateral element for partition of unity and the least square point interpolation method (LSPIM) for local approximation, and inherits the completeness properties of meshfree shape functions and the compatibility properties of FE shape functions, and greatly reduces the numerical dispersion error. This paper derives the formulas and performs the dispersion analysis for the FELSPIM. Numerical results for benchmark problems show that, the FELSPIM yields considerably better results than the finite element method (FEM) and elementfree Galerkin method (EFGM).
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      Dispersion Error Reduction for Acoustic Problems Using the Finite Element Least Square Point Interpolation Method

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/160021
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    • Journal of Vibration and Acoustics

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    contributor authorYao, L. Y.
    contributor authorZhou, J. W.
    contributor authorZhou, Z.
    contributor authorLi, L.
    date accessioned2017-05-09T01:24:57Z
    date available2017-05-09T01:24:57Z
    date issued2015
    identifier issn1048-9002
    identifier othervib_137_02_021013.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/160021
    description abstractThe shape function of the finite elementleast square point interpolation method (FELSPIM) combines the quadrilateral element for partition of unity and the least square point interpolation method (LSPIM) for local approximation, and inherits the completeness properties of meshfree shape functions and the compatibility properties of FE shape functions, and greatly reduces the numerical dispersion error. This paper derives the formulas and performs the dispersion analysis for the FELSPIM. Numerical results for benchmark problems show that, the FELSPIM yields considerably better results than the finite element method (FEM) and elementfree Galerkin method (EFGM).
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDispersion Error Reduction for Acoustic Problems Using the Finite Element Least Square Point Interpolation Method
    typeJournal Paper
    journal volume137
    journal issue2
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.4029160
    journal fristpage21013
    journal lastpage21013
    identifier eissn1528-8927
    treeJournal of Vibration and Acoustics:;2015:;volume( 137 ):;issue: 002
    contenttypeFulltext
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian
     
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian