The Finite Element Method and its Reliability

Author:   Ivo Babuska (, University of Texas at Austin) ,  Theofanis Strouboulis (, Texas A&M University, College Station)
Publisher:   Oxford University Press
ISBN:  

9780198502760


Pages:   814
Publication Date:   30 August 2001
Format:   Hardback
Availability:   To order   Availability explained
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The Finite Element Method and its Reliability


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Overview

The finite element method is a numerical method widely used in engineering. Experience shows that unreliable computation can lead to very serious consequences. Hence reliability questions stand more and more at the forefront of engineering and theoretical interests. The present book presents the mathematical theory of the finite element method and focuses on the question of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importance of the theoretical conclusions for practical computations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will benefit from the clear structure of the book, and will find this a very useful reference.

Full Product Details

Author:   Ivo Babuska (, University of Texas at Austin) ,  Theofanis Strouboulis (, Texas A&M University, College Station)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 17.70cm , Height: 4.50cm , Length: 24.70cm
Weight:   1.495kg
ISBN:  

9780198502760


ISBN 10:   0198502761
Pages:   814
Publication Date:   30 August 2001
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

Preface 1: Introduction 2: Mathematical formulation of the model problem 3: The finite element method 4: Local behaviour in the finite element method 5: A-posteriori estimation of the error 6: Guaranteed a-posteriori error estimation, and a-posteriori estimation of the pollution error Appendix Index

Reviews

Focusing on the reliability of results, this book presents the mathematical theory of the finite element method. It also addresses local behavior, errors caused by pollution, superconvergence, and optimal meshes. Computational examples underscore the importance of the theoretical conclusions, and their practical impact. The book is intended for graduate students and researchers. Babuska teaches at the University of Texas, Austin. Strouboulis teaches at Texas A & M University. --SciTech Book News<br> The reliability of a given numerical approximation is one essential task in applied science and engineering. Here, two leading scientists devote six chapters on eight hundred pages to it and fix the state of the art of rigorous a posteriori finite element error analysis. --Mathematical Reviews<br>


<br> Focusing on the reliability of results, this book presents the mathematical theory of the finite element method. It also addresses local behavior, errors caused by pollution, superconvergence, and optimal meshes. Computational examples underscore the importance of the theoretical conclusions, and their practical impact. The book is intended for graduate students and researchers. Babuska teaches at the University of Texas, Austin. Strouboulis teaches at Texas A & M University. --SciTech Book News<br> The reliability of a given numerical approximation is one essential task in applied science and engineering. Here, two leading scientists devote six chapters on eight hundred pages to it and fix the state of the art of rigorous a posteriori finite element error analysis. --Mathematical Reviews<br>


Author Information

Ivo Babuska, Professor of Aerospace Engineering and Engineering Science, and Professor of Mathematics, University of Texas at Austin. Theofanis Strouboulis, Associate Professor, Department of Aerospace Engineering, University of Texas at College Station

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