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Synopsis
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 are at the forefront of engineering and theoretical interests. This book presents the mathematical theory of the finite element method and is the first to focus on the questions 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.
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About the Author
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
Review
"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
"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
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- PublisherOxford University Press
- Publication date2001
- ISBN 10 0198502761
- ISBN 13 9780198502760
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages736
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The Finite Element Method and Its Reliability
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Oxford University Press, 2001
ISBN 10: 0198502761
ISBN 13: 9780198502760
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The Finite Element Method and Its Reliability
Published by
Oxford University Press, 2001
ISBN 10: 0198502761
ISBN 13: 9780198502760
Used
Hardcover
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