Finite Elements
An Introduction to the Method and Error Estimation
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Product details:
- Publisher OUP Oxford
- Date of Publication 4 November 2010
- ISBN 9780198506690
- Binding Hardback
- No. of pages336 pages
- Size 253x178x22 mm
- Weight 825 g
- Language English
- Illustrations 99 b/w line illustrations 0
Categories
Short description:
Most of the many books on finite elements are devoted either to mathematical theory or to engineering applications, but not to both. This book presents computed numbers which not only illustrate the theory but can only be analysed using the theory. This approach, both dual and interacting between theory and computation makes this book unique.
MoreLong description:
Most of the many books on finite elements are devoted either to mathematical theory or to engineering applications, but not to both. This book seeks to bridge the gap by presenting the main theoretical ideas of the finite element method and the analysis of its errors in an accessible way. At the same time it presents computed numbers which not only illustrate the theory but can only be analysed using the theory. This approach, both dual and interacting between theory and computation makes this book unique.
Much research is currently being done into reliability in computational modelling, involving both validation of the mathematical models and verification of the numerical schemes. By treating finite element error analysis in this way this book is a significant contribution to the verification process of finite element modelling in the context of reliability.
Table of Contents:
Introduction
Formulations of the Problems
Finite Element Methods
Interpolation and its Error
a priori Estimates of the Error of the Finite Element Solution in the Energy Norm
Functionals and Superconvergence
a posteriori Error Estimates
A Note on Verification
Epilogue
