任意电导率介质和有耗目标电磁场模拟的加速表面积分方程法
An Accelerated Surface Integral Equation Method for the Electromagnetic Modeling of Dielectric and Lossy Objects of Arbitrary Conductivity
摘要：
表面积分方程（SIE）方法是求解均匀介质中麦克斯韦方程组的一种重要方法。然而，现有的SIE算法在可扩展性、频率范围或材料特性方面都有局限性。我们提出了一个可扩展的SIE算法的基础上的广义阻抗边界条件，可以有效地处理，在一个统一的方式，在很宽的范围内的电导率，尺寸和频率的导电体和导体。我们设计了一个有效的策略，所产生的方程的迭代解，有效的预条件和特定对象使用的自适应积分方法。通过严格的误差分析，我们证明了自适应积分方法可以在很宽的频率和电导率范围内应用。几个数值例子，来自不同的应用程序，证明了所提出的算法的精度和效率。
英文摘要：
Surface integral equation (SIE) methods are of great interest for the numerical solution of Maxwell's equations in the presence of homogeneous objects. However, existing SIE algorithms have limitations, either in terms of scalability, frequency range, or material properties. We present a scalable SIE algorithm based on the generalized impedance boundary condition which can efficiently handle, in a unified manner, both dielectrics and conductors over a wide range of conductivity, size and frequency. We devise an efficient strategy for the iterative solution of the resulting equations, with efficient preconditioners and an object-specific use of the adaptive integral method. With a rigorous error analysis, we demonstrate that the adaptive integral method can be applied over a wide range of frequencies and conductivities. Several numerical examples, drawn from different applications, demonstrate the accuracy and efficiency of the proposed algorithm.
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