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The Finite Element Method and Its Reliability



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R7 863.00
from Loot.co.za
This book is about the mathematical theory of the finite element method and how reliable computed results are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importa... Read more
Key Features
Detailed discussion of the mathematical theory of the finite element method
Detailed discussion of the local behaviour of finite elements
Detailed discussion of errors caused by pollution
Detailed discussion of superconvergence
Detailed discussion of optimal meshes
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Features
Author Ivo Babuska,Theofanis Strouboulis
Format Hardcover
ISBN 9780198502760
Publisher Oxford University Press, Usa
Manufacturer Oxford University Press, Usa
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.



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