Numerical solution of Maxwell´s equations using B-splines

Isogeometric Analysis (IGA) is a novel discretization technique, introduced in, which is based on non-uniform rational B-splines (NURBS). Its main features are that it uses exactly the geometry description given by computer aided design (CAD) software, and that the analysis is performed with shape functions of different (possibly high) regularity. In this work we propose a generalization of IGA to electromagnetic problems, which is based in the solution of Maxwell´s equations with continuous B-splines. We present extensive numerical results to show that our method is free of spurious modes and approximates singular solutions in non-convex geometries.