The Finite Element Method and its Reliability

Hardcover | January 15, 2001

byIvo Babuska, Theofanis Strouboulis

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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 presentsthe 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 importanceof 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.

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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 presentsthe mathematical theory of the finite elemen...

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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Format:HardcoverPublished:January 15, 2001Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198502761

ISBN - 13:9780198502760

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Table of Contents

Preface1. Introduction2. Mathematical formulation of the model problem3. The finite element method4. Local behaviour in the finite element method5. A-posteriori estimation of the error6. Guaranteed a-posteriori error estimation, and a-posteriori estimation of the pollution errorAppendixIndex