The Finite Element Method and its Reliability
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Finite Element Method and its Reliability by Ivo Babuska
Book DescriptionThe 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.
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Book DetailsISBN: 9780198502760
(247mm x 177mm x 45mm)
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 30-Aug-2001
Country of Publication: United Kingdom
Books By Author Ivo Babuska
Introduction to Finite Element Analysis, Hardback (March 2011)
Using mathematical models to show the reliability of computer-generated information is an essential part of any modelling effort. Giving users of finite element analysis (FEA) software an introduction to verification and validation procedures, this book covers the fundamentals of assuring reliability in numerical simulation.
Finite Elements, Hardback (November 2010)
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.
Uncertain Input Data Problems and the Worst Scenario Method, Hardback (December 2004)
Deals with the impact of uncertainty in input data on the outputs of mathematical models. This book also considers uncertain inputs as scalars, tensors, functions, or domain boundaries. It also includes a chapter on sensitivity analysis and on functional and convex analysis.
Finite Element Analysis, Hardback (May 1991)» View all books by Ivo Babuska
Covers the fundamentals of linear theory of finite elements, from both mathematical and physical points of view. Major focus is on error estimation and adaptive methods used to increase the reliability of results. Incorporates recent advances not covered by other books.
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Author Biography - Ivo Babuska
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
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