用于静电学、声学和电磁学的积分方程方法，应用于连续变化的各向异性介质
Integral equation methods for electrostatics, acoustics and electromagnetics in smoothly varying, anisotropic media
AI总结：
本文提出了一种适用于各向异性非均匀介质静电、声学和电磁散射问题的良-condition积分方程方法，引入了新的向量偏微分方程并展示了其性能。
摘要：
我们提出了一种适用于静电、声学或电磁散射问题的良-condition积分方程方法，涉及各向异性、非均匀介质。在电磁学情况下，我们的方法对经典公式进行了微小修改。在静电或声学情况下，我们引入了一个新的向量偏微分方程，从该方程可以容易地得到所需的解。我们为该向量方程推导出一个良-condition的积分方程。除了提供这些求解器的统一框架外，我们还通过迭代求解方法结合基于FFT的离散化技术[1]来展示其性能。
英文摘要：
We present a collection of well-conditioned integral equation methods for the solution of electrostatic, acoustic or electromagnetic scattering problems involving anisotropic, inhomogeneous media. In the electromagnetic case, our approach involves a minor modification of a classical formulation. In the electrostatic or acoustic setting, we introduce a new vector partial differential equation, from which the desired solution is easily obtained. It is the vector equation for which we derive a well-conditioned integral equation. In addition to providing a unified framework for these solvers, we illustrate their performance using iterative solution methods coupled with the FFT-based technique of [1] to discretize and apply the relevant integral operators.
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