Isogeometric analysis in electromagnetism: analysis and testing

Isogeometric Analysis (IGA) is a method for the discretization of partial differential equations, that was recently introduced by T.J.R. Hughes et al. in [7]. The concept of IGA was born with the aim of making easier the interaction between the Computer Aided Design (CAD) software and the numerical solver. In order to describe the geometry, CAD tools make use of different kind of functions, the most popular of them being non-uniform rational B-splines (NURBS) (see [10]). The main idea of IGA is to use NURBS basis functions as the trial and test functions in the discrete variational formulation.