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    Consistent Infinitesimal Finite Element Cell Method: Three-Dimensional Scalar Wave Equation

    Source: Journal of Applied Mechanics:;1996:;volume( 063 ):;issue: 003::page 650
    Author:
    J. P. Wolf
    ,
    Chongmin Song
    DOI: 10.1115/1.2823345
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: To calculate the unit-impulse response matrix of an unbounded medium governed by the scalar wave equation for use in a time-domain analysis of unbounded medium-structure interaction, the consistent infinitesimal finite element cell method is developed for the three-dimensional case. Its derivation is based on the finite element formulation and on similarity. The discretization is only performed on the structure-medium interface, yielding a reduction of the spatial dimension by 1. The procedure is exact in the radial direction and converges to the exact solution in the finite element sense in the circumferential directions.
    keyword(s): Scalars , Wave equations , Finite element analysis , Time-domain analysis , Impulse (Physics) AND Dimensions ,
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      Consistent Infinitesimal Finite Element Cell Method: Three-Dimensional Scalar Wave Equation

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    https://yetl.yabesh.ir/yetl1/handle/yetl/116387
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    • Journal of Applied Mechanics

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    contributor authorJ. P. Wolf
    contributor authorChongmin Song
    date accessioned2017-05-08T23:49:05Z
    date available2017-05-08T23:49:05Z
    date copyrightSeptember, 1996
    date issued1996
    identifier issn0021-8936
    identifier otherJAMCAV-26399#650_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/116387
    description abstractTo calculate the unit-impulse response matrix of an unbounded medium governed by the scalar wave equation for use in a time-domain analysis of unbounded medium-structure interaction, the consistent infinitesimal finite element cell method is developed for the three-dimensional case. Its derivation is based on the finite element formulation and on similarity. The discretization is only performed on the structure-medium interface, yielding a reduction of the spatial dimension by 1. The procedure is exact in the radial direction and converges to the exact solution in the finite element sense in the circumferential directions.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleConsistent Infinitesimal Finite Element Cell Method: Three-Dimensional Scalar Wave Equation
    typeJournal Paper
    journal volume63
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2823345
    journal fristpage650
    journal lastpage654
    identifier eissn1528-9036
    keywordsScalars
    keywordsWave equations
    keywordsFinite element analysis
    keywordsTime-domain analysis
    keywordsImpulse (Physics) AND Dimensions
    treeJournal of Applied Mechanics:;1996:;volume( 063 ):;issue: 003
    contenttypeFulltext
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