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"Many books require no thought from those who read them, and for a very simple reason; they made no such demand upon those who wrote them."
- Charles Caleb Colton,
Lacon,
1820
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ZIN Product Number: 10040755
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| | | |  | | | Product Details
 Format: Hardcover, 816 pages
Publisher: Oxford University Press
ISBN: 0198502761
Release Date: Jan 1, 2001
| |  | | | In Brief
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. Annotation c. Book News, Inc., Portland, OR (booknews.com)
| | | | From The Publisher
"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.
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| | | |  | | | | 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 |
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| | | | | | Keywords
Finite element method, Reliability (Engineering), Finite Element Method In Engineering, Finite Mathematics, Quality Control, Mathematics, Applied, Engineering - General, Technology, Reliability (Engineering), Finite element method
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