Seminars

Tuesday April 19th, Byron 106

Parameterization of Simply Connected Domains Using Sequences of Harmonic Maps.

Thien Tuan Nguyen

Kepler University, Linz (Austria)

In this talk, we propose a new method for parameterizing a simply connected 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.