| A Posteriori Error Analysis Via Duality Theory: With Applications in Modeling and Numerical Approximations 2005 Edition Contributor(s): Han, Weimin (Author) |
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ISBN: 0387235361 ISBN-13: 9780387235363 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover Published: November 2004 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Number Systems - Mathematics | Numerical Analysis |
| Dewey: 511.43 |
| LCCN: 2005042489 |
| Series: Advances in Mechanics and Mathematics |
| Physical Information: 0.75" H x 6.14" W x 9.21" (1.38 lbs) 302 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |