A Posteriori Error Analysis Via Duality Theory

With Applications in Modeling and Numerical Approximations

By:

Weimin Han

Format:

Hardback

Series:

Advances in Mechanics and Mathematics

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Description

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.

Release date NZ

November 19th, 2004

Author

Weimin Han

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

52 Illustrations, black and white; XVI, 302 p. 52 illus.

Pages

302

Series

Advances in Mechanics and Mathematics

Dimensions

156x234x19

ISBN-13

9780387235363

Product ID

5264812

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