Computational Electromagnetics (Texts in Applied Mathematics)

Thomas Rylander

  • 出版商: Springer
  • 出版日期: 2014-12-13
  • 售價: $3,970
  • 貴賓價: 9.5$3,772
  • 語言: 英文
  • 頁數: 308
  • 裝訂: Paperback
  • ISBN: 1489986022
  • ISBN-13: 9781489986023
  • 相關分類: 電磁學 Electromagnetics
  • 無法訂購

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商品描述

Computational Electromagnetics is a young and growing discipline, expanding as a result of the steadily increasing demand for software for the design and analysis of electrical devices. This book introduces three of the most popular numerical methods for simulating electromagnetic fields: the finite difference method, the finite element method and the method of moments. In particular it focuses on how these methods are used to obtain valid approximations to the solutions of Maxwell's equations, using, for example, "staggered grids" and "edge elements." The main goal of the book is to make the reader aware of different sources of errors in numerical computations, and also to provide the tools for assessing the accuracy of numerical methods and their solutions. To reach this goal, convergence analysis, extrapolation, von Neumann stability analysis, and dispersion analysis are introduced and used frequently throughout the book. Another major goal of the book is to provide students with enough practical understanding of the methods so they are able to write simple programs on their own. To achieve this, the book contains several MATLAB programs and detailed description of practical issues such as assembly of finite element matrices and handling of unstructured meshes. Finally, the book aims at making the students well-aware of the strengths and weaknesses of the different methods, so they can decide which method is best for each problem.

In this second edition, extensive computer projects are added as well as new material throughout.

Reviews of previous edition:

 "The well-written monograph is devoted to students at the undergraduate level, but is also useful for practising engineers." (Zentralblatt MATH, 2007)

商品描述(中文翻譯)

《計算電磁學》是一門年輕且不斷發展的學科,隨著對電氣設備設計和分析軟體需求的持續增加而擴展。本書介紹了三種最受歡迎的數值模擬電磁場的方法:有限差分法、有限元法和矩量法。特別是重點關注這些方法如何使用,例如“交錯網格”和“邊緣元素”,來獲得對麥克斯韋方程組解的有效近似。本書的主要目標是讓讀者意識到數值計算中不同的誤差來源,並提供評估數值方法及其解的準確性的工具。為了達到這個目標,本書引入了收斂分析、外推、馮·諾伊曼穩定性分析和色散分析等方法,并在全書中頻繁使用。本書的另一個主要目標是為學生提供足夠的實際理解,使他們能夠自己撰寫簡單的程式。為了實現這一目標,本書包含了幾個MATLAB程式和有關有限元矩陣組裝和非結構網格處理等實際問題的詳細描述。最後,本書旨在使學生充分了解不同方法的優點和缺點,以便他們能夠根據問題的不同選擇最佳方法。

在這第二版中,增加了大量的電腦專案和全書的新內容。

前一版的評論:
“這本寫得很好的專著專門為本科生而寫,但對實踐工程師也很有用。”(Zentralblatt MATH,2007)