Finite Element Method For Electromagnetics: Antennas, Microwave Circuits, And Scattering Applications (電磁有限元素法:天線、微波電路與散射應用)

John L. Volakis, Arindam Chatterjee, Leo C. Kempel

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Electrical Engineering Finite Element Method for Electromagnetics Antennas, Microwave Circuits, and Scattering Applications A volume in the IEEE/OUP Series on Electromagnetic Wave Theory Donald G. Dudley, Series Editor Employed in a large number of commercial electromagnetic simulation packages, the finite element method is one of the most popular and well-established numerical techniques in engineering. This book covers the theory, development, implementation, and application of the finite element method and its hybrid versions to electromagnetics. Finite Element Method for Electromagnetics begins with a step-by-step presentation of the finite element method and its variations, and then provides up-to-date coverage of three-dimensional formulations and modern applications to open- and closed-domain problems. Topics covered include:

  • Galerkin’s and Ritz methods
  • One- and two-dimensional theory and applications
  • Three-dimensional development of the method using edge elements and applications
  • Mesh truncation schemes
  • Matlab sample codes
  • Efficient implementation of the finite element method, sparse matrix storage schemes, popular iterative solvers, eigenvalue solutions
  • Experiences on code porting to parallel computers

Integral algorithms for fast implementation of the boundary integral matrix-vector products. Written by experts who have extensive experience in both teaching and implementing this method to many applications, Finite Element Method for Electromagnetics a can be used as a textbook for first-year graduate students, as well as a handy reference for engineers and scientists interested in computational electromagnetics. About the IEEE/OUP Series on Electromagnetic Wave Theory Formerly the IEEE Press Series on Electromagnetic Waves, this joint series between IEEE Press and Oxford University Press offers outstanding coverage of the field, with new titles as well as reprintings and revisions of recognized classics that maintain long-term archival significance in electromagnetic waves and applications. Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level.

 

Table of Contents:

Preface.

Acknowledgments.

Fundamental Concepts.

Shape Functions for Scalar and Vector Finite Elements.

Overview of the Finite Element Method: One-Dimensional Examples.

Two-Dimensional Applications.

Three-Dimensional Problems: Closed Domain.

Three-Dimensional Problems: Radiation and Scattering.

Three-Dimensional FE-BI Method.

Fast Integral Methods (S. Bindiganavale and J.L. Volakis).

Numerical Issues.

Index.

About the Authors.

商品描述(中文翻譯)

描述:
電機工程有限元法應用於電磁學天線、微波電路和散射應用。這本書是IEEE/OUP系列中的一本,由Donald G. Dudley擔任系列編輯。有限元法是工程領域中最受歡迎和最成熟的數值技術之一,被大量商業電磁模擬軟體所使用。本書涵蓋了有限元法及其混合版本在電磁學中的理論、發展、實現和應用。《電磁學有限元法》首先逐步介紹了有限元法及其變體,然後提供了最新的三維公式和現代開放和封閉領域問題的應用。涵蓋的主題包括:
- Galerkin和Ritz方法
- 一維和二維理論和應用
- 使用邊緣元素的三維方法的發展和應用
- 網格截斷方案
- Matlab示例代碼
- 有效實現有限元法,稀疏矩陣存儲方案,常用迭代求解器,特徵值解
- 代碼移植到並行計算機的經驗
- 快速實現邊界積分矩陣-向量乘法的積分算法
本書由具有豐富教學和實施該方法於多個應用的專家撰寫,可作為研究生第一年的教科書,也是對計算電磁學感興趣的工程師和科學家的便捷參考資料。關於IEEE/OUP系列的電磁波理論,這是IEEE Press和牛津大學出版社之間的聯合系列,提供了該領域的優秀覆蓋範圍,包括新書以及重印和修訂的經典著作,這些著作在電磁波和應用領域具有長期的存檔重要性。該系列專為研究生、實踐工程師和研究人員設計,提供了探索本科水平以外的電磁波和應用的價格實惠的專著。

目錄:
- 前言
- 致謝
- 基本概念
- 标量和向量有限元的形狀函數
- 有限元法概述:一維示例
- 二維應用
- 三維問題:封閉領域
- 三維問題:輻射和散射
- 三維有限元-邊界積分法
- 快速積分方法(S. Bindiganavale和J.L. Volakis)
- 數值問題
- 索引
- 關於作者