The finite element method and its reliability
Author(s)
Bibliographic Information
The finite element method and its reliability
（Numerical mathematics and scientific computation）
Clarendon Press, 2001
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Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table of Contents
- 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
by "Nielsen BookData"
