论文标题
Slim：一种条件良好的单源边界元素方法，用于在分层介质中建模有损耗的导体
SLIM: A Well-Conditioned Single-Source Boundary Element Method for Modeling Lossy Conductors in Layered Media
论文作者
论文摘要
边界元素方法（BEM）可以通过基于表面的离散化对有损导体的有效电磁建模。用于导体建模的现有BEM技术需要昂贵的双基函数，或者同时使用单层和双层电位运算符才能获得条件良好的系统矩阵。当将导体嵌入分层介质中时，相关的计算成本尤其重要，并且必须调用昂贵的多层绿色功能（MGF）。在这项工作中，提出了一种新型的单源BEM公式，该公式会导致一个条件良好的系统矩阵，而无需双重基础函数。提出的单层阻抗矩阵（Slim）配方不需要双层电位来对背景介质进行建模，从而降低了与MGF相关的成本。提出方法的准确性和效率是通过从不同应用中得出的现实示例来证明的。
The boundary element method (BEM) enables the efficient electromagnetic modelling of lossy conductors with a surface-based discretization. Existing BEM techniques for conductor modelling require either expensive dual basis functions or the use of both single- and double-layer potential operators to obtain a well-conditioned system matrix. The associated computational cost is particularly significant when conductors are embedded in stratified media, and the expensive multilayer Green's function (MGF) must be invoked. In this work, a novel single-source BEM formulation is proposed, which leads to a well-conditioned system matrix without the need for dual basis functions. The proposed single-layer impedance matrix (SLIM) formulation does not require the double-layer potential to model the background medium, which reduces the cost associated with the MGF. The accuracy and efficiency of the proposed method is demonstrated through realistic examples drawn from different applications.
