This paper introduces an efficient approach for solving the Electric Field Integral Equation (EFIE) with high-order accuracy by explicitly enforcing the continuity of the impressed current densities across boundaries of the surface patch discretization. The integral operator involved is discretized via a Nystr\"om-collocation approach based on Chebyshev polynomial expansion within each patch and a closed quadrature rule is utilized such that the discretization points inside one patch coincide with those inside another patch on the shared boundary of those two patches. The continuity enforcement is achieved by constructing a mapping from those coninciding points to a vector containing unique discretization points used in the GMRES iterative solver. The proposed approach is applied to the scattering of several different geometries including a sphere, a cube, a NURBS model imported from CAD software, and a dipole structure and results are compared with the Magnetic Field Integral Equation (MFIE) and the EFIE without enforcing continuity to illustrate the effectiveness of the approach.

翻译：本文提出了一种高效求解电场积分方程（EFIE）的高阶精度方法，通过显式强制表面贴片离散边界上感应电流密度的连续性。积分算子采用基于每个贴片内切比雪夫多项式展开的Nyström-配置法进行离散化，并利用封闭求积规则，使得一个贴片内的离散点与相邻贴片共享边界上的离散点重合。通过构建从这些重合点映射到GMRES迭代求解器中唯一离散点向量的映射，实现了连续性强制。该方法应用于多种几何体的散射问题，包括球体、立方体、从CAD软件导入的NURBS模型以及偶极子结构，并将结果与磁场积分方程（MFIE）及未强制连续性的EFIE进行对比，以验证该方法的有效性。