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

Barna Szabó, Ivo Babuška

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

買這商品的人也買了...

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)

在使用數值模擬做決策時，如何確定其可靠性？在評估計算信息的可信度時，常見的陷阱和錯誤有哪些，如何避免它們？

每當在工程決策中使用數值模擬時，都隱含著對可靠性的期望：不能在相信信息足夠可靠以支持決策之前，基於計算信息做出決策。使用數學模型來展示計算信息的可靠性是任何建模工作的重要組成部分。

本書為有限元分析（FEA）軟件的用戶介紹了驗證和驗證程序，全面涵蓋了確保數值模擬可靠性的基本原理。著名作者系統地引導讀者通過有限元方法的基本理論和算法結構，並提供了豐富的示例和練習。

本書具備以下特點：
- 提供了掌握有限元方法所需的工具
- 說明了驗證和驗證的概念和程序
- 解釋了虛擬實驗支持下的概念化過程
- 描述了h-、p-和hp方法的收斂特性
- 覆蓋了數學模型和有限元空間的階層觀點
- 使用示例和練習演示了質量保證的技術和程序
- 適用於機械和結構工程學生、實踐工程師和應用數學家
- 在附帶網站（www.wiley.com/go/szabo）上提供了參數控制的已解決問題示例。

類似商品