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

Weimin Han (auth.)9780387235363, 0-387-23536-1

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.

Table of contents :
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
Error Analysis for Variational Inequalities of the Second Kind….Pages 235-285