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    Relationship Among Coefficient Matrices in Symmetric Galerkin Boundary Element Method for Two-Dimensional Scalar Problems

    Source: Journal of Applied Mechanics:;2003:;volume( 070 ):;issue: 004::page 479
    Author:
    G. Y. Yu
    DOI: 10.1115/1.1598478
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Based on the assumption that solutions from different methods should be the same, the relationship among weakly singular, strongly singular and hypersingular matrices associated with symmetric Galerkin boundary element method (SGBEM) is derived in this paper. Hypersingularity is avoided through matrix manipulations so that only weakly and strongly singularities need to be solved. Compared with the advantages brought about by symmetry, the additional computation caused by matrix manipulations is not so important in many cases, especially for time-domain problems or when one wants to couple BEM with other symmetric schemes. Simplicity is the advantage of the current method over the traditional SGBEM. Both steady-state and time-domain potential problems have been studied, and two numerical examples are included to show the effectiveness and accuracy of the present formulation.
    keyword(s): Scalars , Boundary element methods , Steady state AND Interpolation ,
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      Relationship Among Coefficient Matrices in Symmetric Galerkin Boundary Element Method for Two-Dimensional Scalar Problems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/127838
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    contributor authorG. Y. Yu
    date accessioned2017-05-09T00:09:19Z
    date available2017-05-09T00:09:19Z
    date copyrightJuly, 2003
    date issued2003
    identifier issn0021-8936
    identifier otherJAMCAV-26561#479_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/127838
    description abstractBased on the assumption that solutions from different methods should be the same, the relationship among weakly singular, strongly singular and hypersingular matrices associated with symmetric Galerkin boundary element method (SGBEM) is derived in this paper. Hypersingularity is avoided through matrix manipulations so that only weakly and strongly singularities need to be solved. Compared with the advantages brought about by symmetry, the additional computation caused by matrix manipulations is not so important in many cases, especially for time-domain problems or when one wants to couple BEM with other symmetric schemes. Simplicity is the advantage of the current method over the traditional SGBEM. Both steady-state and time-domain potential problems have been studied, and two numerical examples are included to show the effectiveness and accuracy of the present formulation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleRelationship Among Coefficient Matrices in Symmetric Galerkin Boundary Element Method for Two-Dimensional Scalar Problems
    typeJournal Paper
    journal volume70
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.1598478
    journal fristpage479
    journal lastpage486
    identifier eissn1528-9036
    keywordsScalars
    keywordsBoundary element methods
    keywordsSteady state AND Interpolation
    treeJournal of Applied Mechanics:;2003:;volume( 070 ):;issue: 004
    contenttypeFulltext
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