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A Surface Impedance Representation for the Finite-Element Boundary-Integral Method and its Applications.

机译：有限元边界积分法的表面阻抗表示及其应用。

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摘要

The utility of any computational electromagnetic method (CEM) depends strongly on both its effectiveness in solving specific problems of interest and its broader applicational scope. Naturally, two obvious schools of thought in approaching research in such a field would be to define a very specific class of CEM problem and then cater a solution methodology towards efficiently solving such problems or to identify common features of a broad class of problem and then to exploit knowledge of such features in arriving at an efficient solution methodology. Of course it is not necessary that one strictly adhere to this dichotomy since a research objective can be defined, to varying degrees of success, concurrently through both avenues. It is more the latter approach that has guided the research described in this report.;The initial research objective of the work described in this report was to arrive at a finite-element boundary-integral (FE-BI) solution method that can be efficiently applied to EM problems that exhibit some sort of repeated structure whether it be periodic, aperiodic, or predominantly periodic in nature. Specifically, the objective was to use the FEM to cast a general EM problem with the characteristic features mentioned into a tractable boundary integral problem using surface impedance/admittance (or general interaction) matrices, which can loosely be thought of as a type of numerical Green's function. A consequence of pursuing this research serendipitously resulted in novel means of coupling the two numerical methods towards some computational benefit for a variety of CEM problems. The surface interaction coupling method is applied to per-unit-length parameter extraction of lossy transmission lines, FE-BI coupling for electrostatic problems, and for computing periodic numerical Green's functions of 2D periodic domains.
机译：任何计算电磁方法（CEM）的实用性都在很大程度上取决于其解决特定问题的有效性以及更广泛的应用范围。自然地，在这一领域进行研究的两个明显的思想流派是，定义一类非常特殊的CEM问题，然后提供一种解决方法论，以有效地解决此类问题或确定广泛问题的共同特征，然后利用这些功能的知识来获得有效的解决方案方法。当然，没有必要严格遵守这种二分法，因为可以同时通过两种途径将研究目标定义为不同程度的成功。后者是指导本报告中描述的研究的方法。本报告中描述的工作的最初研究目标是找到一种可以有效地进行有限元边界积分（FE-BI）求解的方法适用于表现出某种重复结构的EM问题，无论是周期性的，非周期性的还是主要是周期性的。具体来说，目标是使用有限元法将具有特征特征的一般EM问题通过表面阻抗/导纳（或一般相互作用）矩阵转换为可处理的边界积分问题，可以将其宽松地认为是数值格林的一种功能。偶然地进行这项研究的结果导致了将这两种数值方法耦合到针对各种CEM问题的某种计算优势的新颖方法。将表面相互作用耦合方法应用于有损传输线的每单位长度参数提取，用于静电问题的FE-BI耦合以及用于计算2D周期域的周期数值格林函数。

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  • 作者

    Siripuram, Anirudha Rao.;

  • 作者单位

    University of Washington.;

  • 授予单位 University of Washington.;
  • 学科 Engineering Electronics and Electrical.
  • 学位 Ph.D.
  • 年度 2010
  • 页码 75 p.
  • 总页数 75
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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