Introduction to Finite Element Analysis: Formulation, Verification and Validation (Hardcover)
暫譯: 有限元素分析導論：公式化、驗證與確認 (精裝版)

Barna Szabó, Ivo Babuška

Introduction to Finite Element Analysis: Formulation, Verification and Validation (Hardcover)

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商品描述

When using numerical simulation to make a decision, how can its reliability be determined? What are the common pitfalls and mistakes when assessing the trustworthiness of computed information, and how can they be avoided?

Whenever numerical simulation is employed in connection with engineering decision-making, there is an implied expectation of reliability: one cannot base decisions on computed information without believing that information is reliable enough to support those decisions. Using mathematical models to show the reliability of computer-generated information is an essential part of any modelling effort.

Giving users of finite element analysis (FEA) software an introduction to verification and validation procedures, this book thoroughly covers the fundamentals of assuring reliability in numerical simulation. The renowned authors systematically guide readers through the basic theory and algorithmic structure of the finite element method, using helpful examples and exercises throughout.

  • Delivers the tools needed to have a working knowledge of the finite element method
  • Illustrates the concepts and procedures of verification and validation 
  • Explains the process of conceptualization supported by virtual experimentation
  • Describes the convergence characteristics of the h-, p- and hp-methods 
  • Covers the hierarchic view of mathematical models and finite element spaces 
  • Uses examples and exercises which illustrate the techniques and procedures of quality assurance 
  • Ideal for mechanical and structural engineering students, practicing engineers and applied mathematicians
  • Includes parameter-controlled examples of solved problems in a companion website (www.wiley.com/go/szabo)

商品描述(中文翻譯)

在使用數值模擬進行決策時，如何確定其可靠性？在評估計算資訊的可信度時，常見的陷阱和錯誤有哪些，如何避免這些問題？

每當在工程決策中使用數值模擬時，隱含著對可靠性的期望：人們無法在計算資訊上做出決策，而不相信這些資訊足夠可靠以支持這些決策。使用數學模型來顯示計算機生成資訊的可靠性是任何建模工作的重要組成部分。

本書為有限元素分析（FEA）軟體的使用者介紹驗證和確認程序，徹底涵蓋了確保數值模擬可靠性的基本原則。著名的作者系統性地引導讀者了解有限元素法的基本理論和演算法結構，並在整個過程中使用有用的範例和練習。


  • 提供有限元素法的工作知識所需的工具

  • 說明驗證和確認的概念及程序

  • 解釋支持虛擬實驗的概念化過程

  • 描述 h-、p- 和 hp- 方法的收斂特性

  • 涵蓋數學模型和有限元素空間的層次視圖

  • 使用範例和練習來說明質量保證的技術和程序

  • 非常適合機械工程和結構工程的學生、在職工程師及應用數學家

  • 包括在伴隨網站（www.wiley.com/go/szabo）上解決問題的參數控制範例

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