Recent Advances of Isogeometric Analysis in Computational Electromagnetics
It provides a survey for researchers in computational electromagnetics, but the contribution is incremental as it reviews existing methods without presenting new results.
This paper reviews isogeometric analysis (IGA) for electromagnetic simulations, highlighting its advantage of exact CAD geometry representation and simplified meshing, with benchmark examples in 2D and 3D for optimization and uncertainty quantification.
In this communication the advantages and drawbacks of the isogeometric analysis (IGA) are reviewed in the context of electromagnetic simulations. IGA extends the set of polynomial basis functions, commonly employed by the classical Finite Element Method (FEM). While identical to FEM with Nédélec's basis functions in the lowest order case, it is based on B-spline and Non-Uniform Rational B-spline basis functions. The main benefit of this is the exact representation of the geometry in the language of computer aided design (CAD) tools. This simplifies the meshing as the computational mesh is implicitly created by the engineer using the CAD tool. The curl- and div-conforming spline function spaces are recapitulated and the available software is discussed. Finally, several non-academic benchmark examples in two and three dimensions are shown which are used in optimization and uncertainty quantification workflows.