The Finite Element Method and Its Reliability
- ISBN-10
- 0198502761
- ISBN-13
- 9780198502760
- Category
- Mathematics
- Pages
- 802
- Language
- English
- Published
- 2001
- Publisher
- Oxford University Press
- Authors
- Ivo Babuška, Theofanis Strouboulis, Professor of Aerospace Engineering and Engineering Science and Professor of Mathematics Ivo Babuska
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 are at the forefront of engineering and theoretical interests. This book presents the mathematical theory of the finite element method and is the first to focus on the questions 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.
Get the book
Similar books
-
Reliability Assessment Using Stochastic Finite Element Analysis
By Achintya Haldar, Sankaran MahadevanThis book, written by two pioneers in SFEM-based methodologies, shows how to use SFEM for the reliability analysis of a wide range of structures.
-
The Finite Element Method in Engineering
By Singiresu S. RaoThis is an updated and improved version of a finite element text long noted for its practical applications approach, its readability, and ease of use.
-
Introduction to Finite Element Analysis: Formulation, Verification and Validation
By Ivo Babuška, Barna SzabóGiving users of finite element analysis (FEA) software an introduction to verification and validation procedures, this book thoroughly covers the fundamentals of assuring reliability in numerical simulation.
-
The Finite Element Method: Its Basis and Fundamentals
By Olek C Zienkiewicz, Robert L Taylor, J.Z. Zhu[65] S. Ohnimus, E. Stein, E. Walhorn, Local error estimates of FEM for displacements and stresses in linear elasticity ... [69] I. Babuška, T. Strouboulis, The Finite Element Method and Its Reliability, Clarendon Press, Oxford, 2001.
-
Reliability and Optimization of Structural Systems: Proceedings of the 11th IFIP WG7.5 Working Conference, Banff, Canada, 2-5 November 2003
By Marc Maes, Luc HuyseThis volume is an outcome of the 11th IFIP WG7.5 working conference on Reliability and Optimization of Structural Systems in Canada.
-
Applications of Finite Element Methods for Reliability Studies on ULSI Interconnections
By Wei Li, Zhenghao Gan, Cher Ming TanMany illustrations are used throughout the book to improve the reader’s understanding of the methodology and its verification. Actual experimental results and micrographs on ULSI interconnects are also included.
-
The Finite Element Method in Engineering
By Singiresu S. RaoThis book discusses a wide range of topics, including discretization of the domain; interpolation models; higher order and isoparametric elements; derivation of element matrices and vectors; assembly of element matrices and vectors and ...
-
A Practical Guide to Reliable Finite Element Modelling
By Alan MorrisThis book is supported by an author maintained website at http://www.femec.co.uk Many books have been written about the finite element method; little however has been written about procedures that assist a practicing engineer in undertaking ...
-
The Finite Element Method Set
By Olek C Zienkiewicz, Robert L TaylorThe quadratic element (T6S3B3) was devised by Zienkiewicz and Lefebvre" starting from a quadratic interpolation for w and q). The shear S is interpolated by a complete (a) Zienkiewicz and Lefebvre" o (b) Xu%2 so (c) Arnold and Falk” O 2 ...
-
The Finite Element Method for Elliptic Problems
By Philippe G. CiarletBABuska, I.; STRouboulis, T. (2001): The Finite Element Method and Its Reliability, Oxford University Press. BATHE, K.J. (1996): Finite Element Procedures, Prentice-Hall, Englewood Cliffs, NJ. BERNADou, M. (1995): Finite Element Methods ...