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A Posteriori Error Analysis Via Duality Theory: With Applications in Modeling and Numerical Approximations
     

A Posteriori Error Analysis Via Duality Theory: With Applications in Modeling and Numerical Approximations

by Weimin Han
 

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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

Overview

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.

Editorial Reviews

From the Publisher
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"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)

Product Details

ISBN-13:
9781441936363
Publisher:
Springer US
Publication date:
12/06/2010
Series:
Advances in Mechanics and Mathematics Series , #8
Edition description:
Softcover reprint of hardcover 1st ed. 2005
Pages:
302
Product dimensions:
6.10(w) x 9.25(h) x 0.36(d)

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