An improvement on geometrical parameterizations by transfinite maps |
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| Authors: | Christoph Jäggli Laura Iapichino Gianluigi Rozza |
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| Institution: | 1. Section de mathématiques, École Polytechnique Fédérale de Lausanne (EPFL FSB–SMA), Station 8, CH-1015 Lausanne, Switzerland;2. University of Konstanz, Department of Mathematics and Statistics, Universitätsstraße 10, 78457 Konstanz, Germany;3. SISSA Mathlab, International School for Advanced Studies, via Bonomea 265, 34136 Trieste, Italy |
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| 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. |
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