Isogeometric Analysis of Electric Field Integral Equation on Multipatch NURBS Surfaces With Discontinuous Galerkin

This article proposes a general isogeometric method to solve the electric field integral equation on multipatch nonuniform rational B-splines (NURBS) geometries. The multipatch description arising from the computer aided design modeling usually brings the discontinuity issue in terms of computational electromagnetism. Herein, different NURBS basis functions exist on the shared interfaces of adjacent patches, in which the div-conforming requirement across the interfaces cannot be satisfied. To address the discontinuous issue, which is not allowed in the trivial isogeometric analysis, our approach utilizes the discontinuous Galerkin (DG) method to handle the discontinuous basis functions, and ensure the continuity of the solution with an additional penalty term. Exploiting the flexibility of DG and the generalization of the penalty term, interfaces with fully and not fully matching conditions are allowed within the same geometry. Numerical results validate the effectiveness and precision of the proposed method.