Isogeometric Analysis for Electromagnetic Problems

Isogeometric analysis (IGA) is a novel discretization method, introduced by Hughes, which is based on nonuniform rational B-splines (NURBS). Among other features, IGA uses directly the geometry description coming from computer-aided design software without approximation, and the analysis is performed using shape functions of variable (possibly high) regularity. In this paper we propose a new discretization scheme based on continuous B-splines, adapting the IGA to the solution of Maxwell´s equations. We present extensive numerical results to show that our scheme is free of spurious modes, and that it approximates singular solutions in domains with reentrant corners and edges.