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Analysis of moving mesh partial differential equations with spatial smoothing
dc.contributor.author | Huang, Weizhang | |
dc.contributor.author | Russell, Robert D. | |
dc.date.accessioned | 2015-02-26T17:10:41Z | |
dc.date.available | 2015-02-26T17:10:41Z | |
dc.date.issued | 1997-06-01 | |
dc.identifier.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. | en_US |
dc.identifier.uri | http://hdl.handle.net/1808/16880 | |
dc.description | This is the published version, also available here: http://dx.doi.org/10.1137/S0036142993256441. | en_US |
dc.description.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. | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.subject | moving mesh PDE | en_US |
dc.subject | spatial smoothing | en_US |
dc.title | Analysis of moving mesh partial differential equations with spatial smoothing | en_US |
dc.type | Article | |
kusw.kuauthor | Huang, Weizhang | |
kusw.kudepartment | Mathematics | en_US |
dc.identifier.doi | 10.1137/S0036142993256441 | |
kusw.oaversion | Scholarly/refereed, publisher version | |
kusw.oapolicy | This item does not meet KU Open Access policy criteria. | |
dc.rights.accessrights | openAccess |