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- Martin Aigner, Christoph Heinrich, Bert Jüttler, Elisabeth Pilgerstorfer, Bernd Simeon, Anh-Vu Vuong
- IMA Conference on the Mathematics of Surfaces
- 2009

Isogeometric Analysis uses NURBS representations of the domain for performing numerical simulations. The first part of this paper presents a variational framework for generating NURBS parameterizations of swept volumes. The class of these volumes covers a number of interesting free-form shapes, such as blades of turbines and propellers, ship hulls or wings… (More)

- Oswin Aichholzer, Wolfgang Aigner, +4 authors Margot Rabl
- Comput. Geom.
- 2009

We show how to divide the edge graph of a Voronoi diagram into a tree that corresponds to the medial axis of an (augmented) planar domain. Division into base cases is then possible, which, in the bottom-up phase, can be merged by trivial concatenation. The resulting construction algorithm--similar to Delaunay triangulation methods--is not bisector-based and… (More)

Isogeometric Analysis (IGA) was introduced by Hughes et al. in 2005 [1] as a new method to bridge the gap between the geometry description and numerical analysis. Similar to the finite element approach, the IGA concept to solve a partial differential equation leads to a (linear) system of equations. The condition number of the coefficient matrix is a… (More)

- Elisabeth Pilgerstorfer
- Wiener medizinische Wochenschrift
- 1950

- Elisabeth Pilgerstorfer, Walter Pilgerstorfer
- Wiener medizinische Wochenschrift
- 1960

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