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    Higher-Order Homogenization of Initial/Boundary-Value Problem

    Source: Journal of Engineering Mechanics:;2001:;Volume ( 127 ):;issue: 012
    Author:
    Jacob Fish
    ,
    Wen Chen
    DOI: 10.1061/(ASCE)0733-9399(2001)127:12(1223)
    Publisher: American Society of Civil Engineers
    Abstract: Higher-order homogenization of an initial/boundary-value problem with oscillatory coefficients in one dimension is studied. Validity range and limitations of the theory are established. We show that the higher terms are necessary to account for wave dispersion but introduce secular terms that grow unbounded in time. Numerical procedures requiring superconvergent recovery of higher-order derivatives are described.
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      Higher-Order Homogenization of Initial/Boundary-Value Problem

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    http://yetl.yabesh.ir/yetl1/handle/yetl/85313
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    contributor authorJacob Fish
    contributor authorWen Chen
    date accessioned2017-05-08T22:39:27Z
    date available2017-05-08T22:39:27Z
    date copyrightDecember 2001
    date issued2001
    identifier other%28asce%290733-9399%282001%29127%3A12%281223%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/85313
    description abstractHigher-order homogenization of an initial/boundary-value problem with oscillatory coefficients in one dimension is studied. Validity range and limitations of the theory are established. We show that the higher terms are necessary to account for wave dispersion but introduce secular terms that grow unbounded in time. Numerical procedures requiring superconvergent recovery of higher-order derivatives are described.
    publisherAmerican Society of Civil Engineers
    titleHigher-Order Homogenization of Initial/Boundary-Value Problem
    typeJournal Paper
    journal volume127
    journal issue12
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/(ASCE)0733-9399(2001)127:12(1223)
    treeJournal of Engineering Mechanics:;2001:;Volume ( 127 ):;issue: 012
    contenttypeFulltext
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