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dc.contributor.authorCao, Weiming
dc.contributor.authorHuang, Weizhang
dc.contributor.authorRussell, Robert D.
dc.date.accessioned2015-02-25T22:09:03Z
dc.date.available2015-02-25T22:09:03Z
dc.date.issued1999-11-01
dc.identifier.citationCao, 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.en_US
dc.identifier.urihttp://hdl.handle.net/1808/16877
dc.descriptionThis is the published version, also available here: http://dx.doi.org/10.1137/S1064827597327656.en_US
dc.description.abstractIn 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.en_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.subjectvariational mesh generationen_US
dc.subjectmesh adaptationen_US
dc.subjectmonitor functionen_US
dc.subjectweight functionen_US
dc.subjectGreen's functionen_US
dc.titleA study of monitor functions for two dimensional adaptive mesh generationen_US
dc.typeArticle
kusw.kuauthorCao, Weiming
kusw.kuauthorHuang, Weizhang
kusw.kuauthorRussell, Robert D.
kusw.kudepartmentMathematicsen_US
dc.identifier.doi10.1137/S1064827597327656
kusw.oaversionScholarly/refereed, publisher version
kusw.oapolicyThis item does not meet KU Open Access policy criteria.
dc.rights.accessrightsopenAccess


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