Isogeometric Collocation Methods for Elastostatics and Explicit Dynamics

Abstract eng:
Isogeometric Analysis (IGA) has been recently introduced by Hughes et al. [1] as a powerful analysis tool aiming at bridging the gap between Computational Mechanics and Computer Aided Design (CAD). In its original form IGA has been proposed as a Bubnov-Galerkin method where the geometry is represented by the spline functions typically used by CAD systems and, invoking the isoparametric concept, field variables are defined in terms of the same basis functions used for the geometrical description. This could be therefore viewed as an extension of standard isoparametric Finite Element Methods (FEM), where the computational domain exactly reproduces the CAD description of the physical domain. Moreover, recent works on IGA have shown that the high regularity properties of the employed functions lead in many cases to superior accuracy per degree of freedom with respect to standard FEM (cf., e.g., [2] and

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