The Finite Element Method and Its Reliability

Theofanis Strouboulis, Ivo Babuska

820 pages, parution le 22/01/2002

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Résumé

"The finite element method is a numerical method widely used in engineering. Experience shows that unreliable computation can lead to very serious consequences and, therefore, reliability questions stand more and more at the forefront of engineering and theoretical interests." The Finite Element Method and its Reliability 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.

Contents

1 Introduction 1
2 Mathematical formulation of the model problem 8
3 The finite element method 52
4 Local behavior in the finite element method 186
5 A-posteriori estimation of the error 415
6 Guaranteed a-posteriori error estimation and a-posteriori estimation of the pollution error 652
Epilogue 780
App. to chapter 2 781
App. to chapter 3 787
Glossary of symbols 789
Author Index 792
Subject Index 795

Caractéristiques techniques

	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	Theofanis Strouboulis, Ivo Babuska
Parution	22/01/2002
Nb. de pages	820
Format	17 x 24,5
Couverture	Collé
Poids	1400g
Intérieur	Noir et Blanc
EAN13	9780198502760
ISBN13	978-0-19-850276-0