A Posteriori Error Analysis Via Duality Theory: With Applications in Modeling and Numerical Approximations: 8 (Advances in Mechanics and Mathematics) - Softcover

Buch 7 von 38: Advances in Mechanics and Mathematics

Han, Weimin

 
9781441936363: A Posteriori Error Analysis Via Duality Theory: With Applications in Modeling and Numerical Approximations: 8 (Advances in Mechanics and Mathematics)
Softcover
ISBN 10: 144193636X ISBN 13: 9781441936363
Verlag: Springer, 2010

Inhaltsangabe

This work provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear var- tional problems. An error estimate is called a posteriori if the computed solution is used in assessing its accuracy. A posteriori error estimation is central to m- suring, controlling and minimizing errors in modeling and numerical appr- imations. In this book, the main mathematical tool for the developments of a posteriori error estimates is the duality theory of convex analysis, documented in the well-known book by Ekeland and Temam ([49]). The duality theory has been found useful in mathematical programming, mechanics, numerical analysis, etc. The book is divided into six chapters. The first chapter reviews some basic notions and results from functional analysis, boundary value problems, elliptic variational inequalities, and finite element approximations. The most relevant part of the duality theory and convex analysis is briefly reviewed in Chapter 2.

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This volume provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear variational problems. The author avoids giving the results in the most general, abstract form so that it is easier for the reader to understand more clearly the essential ideas involved. Many examples are included to show the usefulness of the derived error estimates.

Audience

This volume is suitable for researchers and graduate students in applied and computational mathematics, and in engineering.

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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
144193636X
ISBN 13 
9781441936363
Einband
Tapa blanda
Auflage
1
Anzahl der Seiten
320
Kontakt zum Hersteller
Nicht verfügbar
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Weitere beliebte Ausgaben desselben Titels

9780387235363: A Posteriori Error Analysis Via Duality Theory: With Applications in Modeling and Numerical Approximations: 8 (Advances in Mechanics and Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0387235361 ISBN 13:  9780387235363
Verlag: Springer, 2005
Hardcover