Advances in Mechanics and Mathematics
cover

A Posteriori Error Analysis Via Duality Theory

With Applications in Modeling and Numerical Approximations

Authors: Han, Weimin

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About this book

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.

Reviews

From the reviews:

"The subject of this book is the a posterior error analysis for mathematical idealizations in applied boundary value problems (BVPs) … . A very nice book, well structured and written, coupling mathematical theory and numerical results and tests for applied problems." (Viorel Arnautu, Zentralblatt MATH, Vol. 1081, 2006)

"I believe that this book is the first book to present a systematical study in applying the duality theory to deriving a posteriori error estimates for a variety of interesting problems. … The book is very well written. … this nice book is quite easy to follow. I believe that the book will be very useful for researchers and graduate students in applied and computational mathematics and engineering." (Wen Bin Liu, Mathematical Reviews, Issue 2005 k)


Table of contents (6 chapters)

Table of contents (6 chapters)
  • Preliminaries

    Pages 1-45

  • Elements of Convex Analysis, Duality Theory

    Pages 47-66

  • A Posteriori Error Analysis for Idealizations in Linear Problems

    Pages 67-125

  • A Posteriori Error Analysis for Linearizations

    Pages 127-192

  • A Posteriori Error Analysis for Some Numerical Procedures

    Pages 193-233

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-0-387-23537-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-0-387-23536-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.99
price for USA in USD
  • ISBN 978-1-4419-3636-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Posteriori Error Analysis Via Duality Theory
Book Subtitle
With Applications in Modeling and Numerical Approximations
Authors
Series Title
Advances in Mechanics and Mathematics
Series Volume
8
Copyright
2005
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-23537-0
DOI
10.1007/b101775
Hardcover ISBN
978-0-387-23536-3
Softcover ISBN
978-1-4419-3636-3
Series ISSN
1571-8689
Edition Number
1
Number of Pages
XVI, 302
Number of Illustrations
52 b/w illustrations
Topics