Analysis of moving mesh partial differential equations with spatial smoothing

View/ Open
Issue Date
1997-06-01Author
Huang, Weizhang
Russell, Robert D.
Publisher
Society for Industrial and Applied Mathematics
Type
Article
Article Version
Scholarly/refereed, publisher version
Metadata
Show full item recordAbstract
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.
Collections
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.
Items in KU ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
We want to hear from you! Please share your stories about how Open Access to this item benefits YOU.