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Hinz, J.P. (author), Jaeschke, Andrzej (author), Möller, M. (author), Vuik, Cornelis (author)This paper proposes a shape optimization algorithm based on the principles of Isogeometric Analysis (IGA) in which the parameterization of the geometry enters the problem formulation as an additional PDE-constraint. Inspired by the isoparametric principle of IGA, the parameterization and the governing state equation are treated using the same...journal article 2021
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Hinz, J.P. (author), Möller, M. (author), Vuik, Cornelis (author)The generation of an analysis-suitable computational grid from a description of no more than its boundaries is a common problem in numerical analysis. Most classical meshing techniques for finite-volume, finite-difference or finite-element applications such as the Advancing Front Method (Schöberl, 1997), Delaunay Triangulation (Triangle, 1996...journal article 2018
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Hinz, J.P. (author), Möller, M. (author), Vuik, Cornelis (author)The fully automated generation of computational meshes for twin-screw machine geometries constitutes a mandatory aspect for the numerical simulation (and shape-optimization) of these devices but proves to be a challenging task in practice. Therefore, the successful generation of computational meshes requires sophisticated mathematical tools....journal article 2018