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Introduction to Finite Element Analysis: Formulation, Verification and Validation [Kindle Edition]

Barna Szabó , Ivo Babuška
3.7 out of 5 stars  See all reviews (3 customer reviews)

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Book Description

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)


Editorial Reviews

Review

“I highly recommend this as a textbook for an undergraduate engineering course on FE analysis. Moreover, I recommend this book to every engineer who practices FE computation, since this is a well-written and unique source for studying the extremely important issue of reliability of FE analysis in practice.”  (IACM Expressions, 1 September 2012)

From the Back Cover

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)

Product Details

  • File Size: 7691 KB
  • Print Length: 382 pages
  • Publisher: Wiley; 1 edition (March 21, 2011)
  • Sold by: Amazon Digital Services, Inc.
  • Language: English
  • ASIN: B004U7MUB6
  • Text-to-Speech: Enabled
  • X-Ray:
  • Word Wise: Not Enabled
  • Lending: Enabled
  • Amazon Best Sellers Rank: #1,528,440 Paid in Kindle Store (See Top 100 Paid in Kindle Store)
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Customer Reviews

3.7 out of 5 stars
(3)
3.7 out of 5 stars
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Most Helpful Customer Reviews
By Danny
Format:Hardcover|Verified Purchase
While the book is visually appealing, it is rather lousy in explanation. This textbook provides minimal explanation of concepts. Of the examples included, most are partial, and require you to perform several steps in computation on your own.

I do not recommend this book for the first time learner. The logic skips crucial points in thinking.
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5.0 out of 5 stars Comprehensive, well-refined text from FEA pioneers September 19, 2012
Format:Hardcover
While Dr. Szabo can't be called one of the p-version "founders," he was a member of the small group of mathematicians who applied FEA to real-world problems in the early 1960s. He is a foremost expert in discretization and idealization of physical models.

This book is a comprehensive treatment of the subject, from theoretical derivation to practical application, with particularly rigorous treatment of discretization and convergence. I was fortunate enough to use a first edition of this book in Dr. Szabo's course at Washington University, when it was something of a work in progress. I'm happy to report that the clarity is much improved in the present volume, which is a critical feature considering the material complexity. The relatively slim book is beautifully printed and bound by Wiley.

The book assumes that the reader has prior exposure and comfort with multivariable calculus and advanced engineering mathematics.
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1 of 2 people found the following review helpful
Format:Hardcover
From Dr. Barna Szabo, one of the leading FEA expert in the field, and Dr. Ivo Babuska who helped prove the mathematical background, this book provides a solid foundation for anybody interested in using finite element analysis.
It begins with the theoretical background and mathematical formulation of the finite element method, thoroughly explains the process of "verification" and stresses that being able to mathematically prove convergence is extremely important, then goes on to explain element basis functions, high-order geometric mapping, singularities, rates of convergence, and includes practice problems for each topic. This is useful both to learn FEA the first time, and as a reference book when solving real-world problems.
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