Finite Elements: Theory and Algorithms (Cambridge IISc Series)

Sashikumaar Ganesan, Lutz Tobiska

  • 出版商: Cambridge
  • 出版日期: 2017-05-11
  • 售價: $2,850
  • 貴賓價: 9.5$2,708
  • 語言: 英文
  • 頁數: 216
  • 裝訂: Hardcover
  • ISBN: 1108415709
  • ISBN-13: 9781108415705
  • 相關分類: Algorithms-data-structures
  • 海外代購書籍(需單獨結帳)

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商品描述

Written in easy to understand language, this self-explanatory guide introduces the fundamentals of finite element methods and its application to differential equations. Beginning with a brief introduction to Sobolev spaces and elliptic scalar problems, the text progresses through an explanation of finite element spaces and estimates for the interpolation error. The concepts of finite element methods for parabolic scalar parabolic problems, object-oriented finite element algorithms, efficient implementation techniques, and high dimensional parabolic problems are presented in different chapters. Recent advances in finite element methods, including non-conforming finite elements for boundary value problems of higher order and approaches for solving differential equations in high dimensional domains are explained for the benefit of the reader. Numerous solved examples and mathematical theorems are interspersed throughout the text for enhanced learning.

商品描述(中文翻譯)

這本自我解釋的指南以易於理解的語言撰寫,介紹了有限元素方法的基本原理及其在微分方程中的應用。首先簡要介紹了Sobolev空間和橢圓標量問題,接著進一步解釋了有限元素空間及插值誤差的估計。不同章節中介紹了針對拋物線標量問題的有限元素方法概念、面向對象的有限元素演算法、高效實現技術以及高維拋物線問題。書中還解釋了有限元素方法的最新進展,包括針對高階邊界值問題的非一致有限元素及在高維領域中解決微分方程的方法,以便讀者受益。文本中穿插了許多已解決的範例和數學定理,以增強學習效果。