Simulation of multi-scale structures using equivalence principle algorithm with grid-robust higher order vector basis

In this paper, equivalence principle algorithm (EPA) with grid-robust higher order vector basis (GRHOVB) is proposed to solve the multi-scale problems. The EPA is a kind of domain decomposition method which transfers the interaction of the objects into interaction between virtual equivalence surfaces. Compared with traditional Curvilinear Rao-Wilton-Glisson (CRWG) function, GRHOVB can be used on the equivalence surface to reduce the number of unknowns and also improve the accuracy. The tap basis is utilized to deal with current continuity when the object is intercepted by an equivalence surface. The equations are simplified further to improve the tap basis scheme. Numerical results are shown to demonstrate the accuracy and efficiency of the proposed method.