This article presents a new self-dual integral equation (SDIE) for electromagnetic scattering from arbitrarily impedance boundary condition (IBC) objects including partly coated objects. The proposed SDIE is constructed by using the combined field integral equation (CFIE) and IBC, shorted as C-SDIE. To overcome the difficulty of discontinuous surface impedance from nonuniform IBC/partly coated objects, the discontinuous Galerkin (DG) method is applied to discretize the C-SDIE. Numerical experiments confirm that the DG-C-SDIE has promising numerical performance in terms of accuracy and efficiency. Furthermore, the domain decomposition preconditioning based on DG is employed to further enhance the proposed DG-C-SDIE for large-scale, multi-scale objects. The numerical results demonstrate the capability of the proposed DG-C-SDIE.

中文翻译：

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基于CFIE的IBC物体电磁散射新自对偶积分方程

本文提出了一种新的自对偶积分方程 (SDIE)，用于来自任意阻抗边界条件 (IBC) 物体（包括部分涂层物体）的电磁散射。提议的 SDIE 是通过使用组合场积分方程 (CFIE) 和 IBC 构建的，简称为 C-SDIE。为了克服来自非均匀 IBC/部分涂层物体的不连续表面阻抗的困难，应用不连续伽辽金 (DG) 方法来离散化 C-SDIE。数值实验证实，DG-C-SDIE 在精度和效率方面具有良好的数值性能。此外，基于 DG 的域分解预处理用于进一步增强所提出的 DG-C-SDIE，用于大规模、多尺度对象。数值结果证明了所提出的 DG-C-SDIE 的能力。