Читать книгу IGA - Robin Bouclier - Страница 12

To start with, IGA is introduced from a technical viewpoint by providing the key ingredients regarding the considered spline geometric modeling techniques, namely the B-spline and NURBS variants. Particular care is taken to highlight the ability of these spline tools to describe any geometrical shape and to also control them smoothly. These aspects are of paramount importance for the works presented in this book, which address the general field of computational solid mechanics to the shape optimization of structures. Finally, with the IGA concept now being mature and relatively well known in the scientific computing community, we shortly review its basics from an analytical point of view. In this respect, we recall that the major difference, with respect to standard FEM, is to use the spline-based parameterizations of CAD to build the approximation subspaces when applying the Galerkin’s method. For further details, besides the pioneering contributions (Hughes et al. 2005; Cottrell et al. 2009), refer to the works cited hereafter.