The finite element method and its reliability
著者
書誌事項
The finite element method and its reliability
（Numerical mathematics and scientific computation）
Clarendon Press, 2001
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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
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