Isogeometric FEM-BEM Coupling for Magnetostatic Problems Modeling Using Magnetic Scalar Potential

\ The main advantage of isogeometric analysis resides in its ability to represent exactly a wide range of geometries, and has proven great efficiency in mechanical problems compared to standard finite elements. The application of the isogeometric context to electromagnetic problems leads to the isogeometric representation of air region, a particularly ineffective process. To overcome this hindrance, in a magnetostatic context, an original magnetic scalar potential Finite element-Boundary element coupling is presented. Numerical considerations and implementation specificities are discussed, and the efficiency of the method is demonstrated.

Automated summary

The main advantage of isogeometric analysis is its ability to accurately represent various geometries and its superior efficiency in mechanical problems compared to standard finite element methods. However, the isogeometric representation of air region in electromagnetic problems is particularly inefficient. To address this issue, a novel magnetic scalar potential finite element-boundary element coupling is introduced in a magnetostatic context. Numerical considerations and implementation specificities are discussed, and the method's efficiency is demonstrated.