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    Moving mesh partial differential equations (MMPDEs) based upon the equidistribution principle

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    HuangW_SJoNA_31(3)709.pdf (2.087Mb)
    Issue Date
    1994-06-01
    Author
    Huang, Weizhang
    Ren, Yuhe
    Russell, Robert D.
    Publisher
    Society for Industrial and Applied Mathematics
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
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    Abstract
    This paper considers several moving mesh partial differential equations that are related to the equidistribution principle. Several of these are new, and some correspond to discrete moving mesh equations that have been used by others. Their stability is analyzed and it is seen that a key term for most of these moving mesh PDEs is a source-like term that measures the level of equidistribution. It is shown that under weak assumptions mesh crossing cannot occur for most of them. Finally, numerical experiments for these various moving mesh PDEs are performed to study their relative properties.
    Description
    This is the published version, also available here: http://dx.doi.org/10.1137/0731038.
    URI
    http://hdl.handle.net/1808/16884
    DOI
    https://doi.org/10.1137/0731038
    Collections
    • Mathematics Scholarly Works [282]
    Citation
    Huang, Weizhang., Ren, Yuhe., Russell, Robert D., "Moving mesh partial differential equations (MMPDEs) based upon the equidistribution principle." SIAM J. Numer. Anal., 31(3), 709–730. (22 pages). http://dx.doi.org/10.1137/0731038.

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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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