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    An Efficient Galerkin BEM to Compute High Acoustic Eigenfrequencies

    Source: Journal of Vibration and Acoustics:;2009:;volume( 131 ):;issue: 003::page 31001
    Author:
    Mario Durán
    ,
    Jean-Claude Nédélec
    ,
    Sebastián Ossandón
    DOI: 10.1115/1.3085894
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An efficient numerical method, using integral equations, is developed to calculate precisely the acoustic eigenfrequencies and their associated eigenvectors, located in a given high frequency interval. It is currently known that the real symmetric matrices are well adapted to numerical treatment. However, we show that this is not the case when using integral representations to determine with high accuracy the spectrum of elliptic, and other related operators. Functions are evaluated only in the boundary of the domain, so very fine discretizations may be chosen to obtain high eigenfrequencies. We discuss the stability and convergence of the proposed method. Finally we show some examples.
    keyword(s): Stability , Wavelength , Acoustics , Boundary element methods , Eigenvalues , Integral equations , Numerical analysis AND Functions ,
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      An Efficient Galerkin BEM to Compute High Acoustic Eigenfrequencies

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/142273
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    • Journal of Vibration and Acoustics

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    contributor authorMario Durán
    contributor authorJean-Claude Nédélec
    contributor authorSebastián Ossandón
    date accessioned2017-05-09T00:35:59Z
    date available2017-05-09T00:35:59Z
    date copyrightJune, 2009
    date issued2009
    identifier issn1048-9002
    identifier otherJVACEK-28900#031001_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/142273
    description abstractAn efficient numerical method, using integral equations, is developed to calculate precisely the acoustic eigenfrequencies and their associated eigenvectors, located in a given high frequency interval. It is currently known that the real symmetric matrices are well adapted to numerical treatment. However, we show that this is not the case when using integral representations to determine with high accuracy the spectrum of elliptic, and other related operators. Functions are evaluated only in the boundary of the domain, so very fine discretizations may be chosen to obtain high eigenfrequencies. We discuss the stability and convergence of the proposed method. Finally we show some examples.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAn Efficient Galerkin BEM to Compute High Acoustic Eigenfrequencies
    typeJournal Paper
    journal volume131
    journal issue3
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.3085894
    journal fristpage31001
    identifier eissn1528-8927
    keywordsStability
    keywordsWavelength
    keywordsAcoustics
    keywordsBoundary element methods
    keywordsEigenvalues
    keywordsIntegral equations
    keywordsNumerical analysis AND Functions
    treeJournal of Vibration and Acoustics:;2009:;volume( 131 ):;issue: 003
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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