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An improvement on geometrical parameterizations by transfinite maps

TitleAn improvement on geometrical parameterizations by transfinite maps
Publication TypeJournal Article
Year of Publication2014
AuthorsJäggli, C, Iapichino, L, Rozza, G
JournalComptes Rendus Mathematique
Volume352
Pagination263–268
Abstract

We present a method to generate a non-affine transfinite map from a given reference domain to a family of deformed domains. The map is a generalization of the Gordon-Hall transfinite interpolation approach. It is defined globally over the reference domain. Once we have computed some functions over the reference domain, the map can be generated by knowing the parametric expressions of the boundaries of the deformed domain. Being able to define a suitable map from a reference domain to a desired deformation is useful for the management of parameterized geometries.

DOI10.1016/j.crma.2013.12.017

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