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    Asymptotic expansions for high-contrast linear elasticity

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    Type
    Article
    Authors
    Poveda, Leonardo A.
    Huepo, Sebastian
    Calo, Victor M. cc
    Galvis, Juan
    KAUST Department
    Applied Mathematics and Computational Science Program
    Earth Science and Engineering Program
    Numerical Porous Media SRI Center (NumPor)
    Physical Science and Engineering (PSE) Division
    Date
    2015-04-11
    Online Publication Date
    2015-04-11
    Print Publication Date
    2016-03
    Embargo End Date
    2017-11-04
    Permanent link to this record
    http://hdl.handle.net/10754/566074
    
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    Abstract
    We study linear elasticity problems with high contrast in the coefficients using asymptotic limits recently introduced. We derive an asymptotic expansion to solve heterogeneous elasticity problems in terms of the contrast in the coefficients. We study the convergence of the expansion in the H1 norm.
    Citation
    Poveda, L. A., Huepo, S., Calo, V. M., & Galvis, J. (2016). Asymptotic expansions for high-contrast linear elasticity. Journal of Computational and Applied Mathematics, 295, 25–34. doi:10.1016/j.cam.2015.03.021
    Publisher
    Elsevier BV
    Journal
    Journal of Computational and Applied Mathematics
    DOI
    10.1016/j.cam.2015.03.021
    arXiv
    1410.0299
    Additional Links
    http://arxiv.org/pdf/1410.0299.pdf
    http://arxiv.org/pdf/1410.0299
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.cam.2015.03.021
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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