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    On the Burton and Miller Boundary Integral Formulation of the Exterior Acoustic Problem

    Source: Journal of Vibration and Acoustics:;1992:;volume( 114 ):;issue: 004::page 540
    Author:
    P. J. Harris
    ,
    S. Amini
    DOI: 10.1115/1.2930296
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The direct boundary integral equation due to Burton and Miller (1971) is used for the solution of the Helmholtz equation in the exterior domain. The formulation is complex, involving four integral (pseudo-differential) operators. Here we show that it is possible and advantageous to choose the coupling parameter, η, inherent in the formulation, to depend on the boundary points. By setting the coupling parameter, η(p ), to zero, over a large part of the surface, we are able to reduce the set up time without greatly affecting the conditioning of the equation.
    keyword(s): Acoustics , Equations AND Integral equations ,
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      On the Burton and Miller Boundary Integral Formulation of the Exterior Acoustic Problem

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    http://yetl.yabesh.ir/yetl1/handle/yetl/111165
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    contributor authorP. J. Harris
    contributor authorS. Amini
    date accessioned2017-05-08T23:40:05Z
    date available2017-05-08T23:40:05Z
    date copyrightOctober, 1992
    date issued1992
    identifier issn1048-9002
    identifier otherJVACEK-28804#540_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/111165
    description abstractThe direct boundary integral equation due to Burton and Miller (1971) is used for the solution of the Helmholtz equation in the exterior domain. The formulation is complex, involving four integral (pseudo-differential) operators. Here we show that it is possible and advantageous to choose the coupling parameter, η, inherent in the formulation, to depend on the boundary points. By setting the coupling parameter, η(p ), to zero, over a large part of the surface, we are able to reduce the set up time without greatly affecting the conditioning of the equation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Burton and Miller Boundary Integral Formulation of the Exterior Acoustic Problem
    typeJournal Paper
    journal volume114
    journal issue4
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2930296
    journal fristpage540
    journal lastpage545
    identifier eissn1528-8927
    keywordsAcoustics
    keywordsEquations AND Integral equations
    treeJournal of Vibration and Acoustics:;1992:;volume( 114 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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