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• W172148258 abstract "In this paper, we propose a new method for parameterizing a contractible domain (called the computational domain) which is defined by its boundary. Using a sequence of harmonic maps, we first build a mapping from the computational domain to the parameter domain, i.e., the unit square or unit cube. Then we parameterize the original domain by spline approximation of the inverse mapping. Numerical simulations of our method were performed with several shapes in 2D and 3D to demonstrate that our method is suitable for various shapes. The method is particular useful for isogeometric analysis because it provides an extension from a boundary representation of a model to a volume representation." @default.
• W172148258 created "2016-06-24" @default.
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• W172148258 date "2012-01-01" @default.
• W172148258 modified "2023-09-30" @default.
• W172148258 title "Parameterization of Contractible Domains Using Sequences of Harmonic Maps" @default.
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• W172148258 doi "https://doi.org/10.1007/978-3-642-27413-8_32" @default.
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