The Finite Element Method and its Reliability
Series: Numerical Mathematics and Scientific Computation;
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Product details:
- Publisher OUP Oxford
- Date of Publication 30 August 2001
- ISBN 9780198502760
- Binding Hardback
- No. of pages814 pages
- Size 247x177x45 mm
- Weight 1495 g
- Language English
- Illustrations numerous line figures 0
Categories
Short 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. 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.
MoreLong 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.
MoreTable of Contents:
Preface
Introduction
Mathematical formulation of the model problem
The finite element method
Local behaviour in the finite element method
A-posteriori estimation of the error
Guaranteed a-posteriori error estimation, and a-posteriori estimation of the pollution error
Appendix
Index
