Finite Element Analysis. Barna Szabó

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WILEY SERIES IN COMPUTATIONAL MECHANICS

      Series Advisors: René de Borst Perumal Nithiarasu Tayfun E. Tezduyar Genki Yagawa Tarek Zohdi

Fundamentals of the Finite Element Method for Heat and Mass Transfer	Nithiarasu, Lewis and Seetharamu	November 2015
Introduction to Computational Contact Mechanics: A Geometrical Approach	Konyukhov	April 2015
Extended Finite Element Method: Theory and Applications	Khoei	December 2014
Computational Fluid‐Structure Interaction: Methods and Applications	Bazilevs, Takizawa and Tezduyar	January 2013
Introduction to Finite Strain Theory for Continuum Elasto‐Plasticity	Hashiguchi and Yamakawa	November 2012
Nonlinear Finite Element Analysis of Solids and Structures, Second Edition	De Borst, Crisfield, Remmers and Verhoosel	August 2012
An Introduction to Mathematical Modeling: A Course in Mechanics	Oden	November 2011
Computational Mechanics of Discontinua	Munjiza, Knight and Rougier	November 2011
Introduction to Finite Element Analysis: Formulation, Verification and Validation	Szabó and Babuška	March 2011

Finite Element Analysis

      Method, Verification and Validation

       Second Edition

       Barna Szabó

      Washington University in St. Louis

       Ivo Babuška

      The University of Texas at Austin

This second edition first published 2021 © 2021 John Wiley & Sons, Inc.

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      The right of Barna Szabó and Ivo Babuška to be identified as the authors of this work has been asserted in accordance with law.

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       Library of Congress Cataloging‐in‐Publication Data

      Names: Szabó, B. A. (Barna Aladar), 1935‐ author. | Babuška, Ivo, author.

      Title: Finite element analysis : method, verification and validation / Barna Szabó, Ivo Babuška.

      Description: Second edition. | Hoboken, NJ : Wiley, 2021. | Series: Wiley series in computational mechanics | Includes bibliographical references and index.

      Identifiers: LCCN 2021005389 (print) | LCCN 2021005390 (ebook) | ISBN 9781119426424 (cloth) | ISBN 9781119426387 (adobe pdf) | ISBN 9781119426462 (epub) | ISBN 9781119426479 (obook)

      Subjects: LCSH: Finite element method.

      Classification: LCC TA347.F5 S98 2021 (print) | LCC TA347.F5 (ebook) | DDC 620.001/51825–dc23

      LC record available at https://lccn.loc.gov/2021005389

      LC ebook record available at https://lccn.loc.gov/2021005390

      Cover Design: Wiley

      Cover Images: © Courtesy of Barna Szabó

Preface to the second edition

      The first edition of this book, published in 1991, focused on the conceptual and algorithmic development of the finite element method from the perspective of solution verification, that is, estimation and control of the errors of approximation in terms of the quantities of interest. Since that time the importance of solution verification became widely recognized. It is a key constituent of predictive computational science, the branch of computational science concerned with the prediction of physical events.

      Predictive computational science embraces the formulation of mathematical models, definition of the quantities of interest, code and solution verification, definition of statistical sub‐models,