The Finite Element Method and its Reliability
Published on 30. August 2001
Book
Hardback
814 pages
978-0-19-850276-0 (ISBN)
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.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
Professional and scholarly
Illustrations
numerous line figures
Dimensions
Height: 247 mm
Width: 177 mm
Thickness: 45 mm
Weight
1495 gr
ISBN-13
978-0-19-850276-0 (9780198502760)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
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
Content
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