Finite Elements: An Introduction to the Method and Error Estimation

Paperback | December 4, 2010

byIvo Babuska, John Whiteman, Theofanis Strouboulis

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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. Atthe 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 processof finite element modelling in the context of reliability.

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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. Atthe same time it presents computed numbers w...

Ivo Babuska was born in Prague, Czechoslovakia, studied civil engineering at the Technical University, Prague, and became the Head of the Department of Partial Differential Equations of the Institute of Mathematics, Czech Academy of Sciences, where he received the degree of Dr Tech. In 1955 he took his PhD in Mathematics and in 1960 ...

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Format:PaperbackDimensions:352 pages, 9.69 × 6.73 × 0.68 inPublished:December 4, 2010Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198506708

ISBN - 13:9780198506706

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Table of Contents

1. Introduction2. Formulations of the Problems3. Finite Element Methods4. Interpolation and its Error5. a priori Estimates of the Error of the Finite Element Solution in the Energy Norm6. Functionals and Superconvergence7. a posteriori Error Estimates8. A Note on Verification9. Epilogue