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

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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. This volume is suitable ...
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More About This Book

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. This volume is suitable for researchers and graduate students in applied and computational mathematics, and in engineering.
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Product Details

  • ISBN-13: 9780387235363
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 11/19/2004
  • Series: Advances in Mechanics and Mathematics Series , #8
  • Edition description: 2005
  • Edition number: 1
  • Pages: 318
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.75 (d)

Table of Contents

1 Preliminaries 1
2 Elements of convex analysis, duality theory 47
3 A posteriori error analysis for idealizations in linear problems 67
4 A posteriori error analysis for linearizations 127
5 A posteriori error analysis for some numerical procedures 193
6 Error analysis for variational inequalities of the second kind 235
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