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    A study of monitor functions for two dimensional adaptive mesh generation

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    HuangW_SJoSC_20(6)1978.pdf (609.2Kb)
    Issue Date
    1999-11-01
    Author
    Cao, Weiming
    Huang, Weizhang
    Russell, Robert D.
    Publisher
    Society for Industrial and Applied Mathematics
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
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    Abstract
    In this paper we study the problem of two-dimensional adaptive mesh generation using a variational approach and, specifically, the effect that the monitor function has on the resulting mesh behavior. The basic theoretical tools employed are Green's function for elliptic problems and the eigendecomposition of symmetric positive definite matrices. Based upon this study, a general strategy is suggested for how to choose the monitor function, and numerical results are presented for illustrative purposes.The three-dimensional case is also briefly discussed. It is noted that the strategy used here can be applied to other elliptic mesh generation techniques as well.
    Description
    This is the published version, also available here: http://dx.doi.org/10.1137/S1064827597327656.
    URI
    http://hdl.handle.net/1808/16877
    DOI
    https://doi.org/10.1137/S1064827597327656
    Collections
    • Mathematics Scholarly Works [283]
    Citation
    Cao, Weiming., Huang, Weizhang., Russell, Robert D. "A study of monitor functions for two dimensional adaptive mesh generation." SIAM J. Sci. Comput., 20(6), 1978–1994. (17 pages). http://dx.doi.org/10.1137/S1064827597327656.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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