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    Analysis of moving mesh partial differential equations with spatial smoothing

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    HuangW_SJoNA_34(3)1106.pdf (633.6Kb)
    Issue Date
    1997-06-01
    Author
    Huang, Weizhang
    Russell, Robert D.
    Publisher
    Society for Industrial and Applied Mathematics
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
    Metadata
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    Abstract
    Two moving mesh partial differential equations (MMPDEs) with spatial smoothing are derived based upon the equidistribution principle. This smoothing technique is motivated by the robust moving mesh method of Dorfi and Drury [J. Comput. Phys., 69 (1987), pp. 175--195]. It is shown that under weak conditions the basic property of no node-crossing is preserved by the spatial smoothing, and a local quasi-uniformity property of the coordinate transformations determined by these MMPDEs is proven. It is also shown that, discretizing the MMPDEs using centered finite differences, these basic properties are preserved.
    Description
    This is the published version, also available here: http://dx.doi.org/10.1137/S0036142993256441.
    URI
    http://hdl.handle.net/1808/16880
    DOI
    https://doi.org/10.1137/S0036142993256441
    Collections
    • Mathematics Scholarly Works [282]
    Citation
    Huang, Weizhang & Russell, Robert D. "Analysis of moving mesh partial differential equations with spatial smoothing." SIAM J. Numer. Anal., 34(3), 1106–1126. (21 pages). http://dx.doi.org/10.1137/S0036142993256441.

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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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