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.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Advances in Mechanics and Mathematics, 8 |
Release date: |
December 2010 |
First published: |
2005 |
Authors: |
Weimin Han
|
Dimensions: |
235 x 155 x 17mm (L x W x T) |
Format: |
Paperback
|
Pages: |
302 |
Edition: |
Softcover reprint of hardcover 1st ed. 2005 |
ISBN-13: |
978-1-4419-3636-3 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Numerical analysis
|
LSN: |
1-4419-3636-X |
Barcode: |
9781441936363 |
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