Posteriori Error Analysis Via Duality Theory

• Preliminaries.- Elements of Convex Analysis, Duality Theory.- A Posteriori Error Analysis for Idealizations in Linear Problems.- A Posteriori Error Analysis for Linearizations.- A Posteriori Error Analysis for Some Numerical Procedures.- Error Analysis for Variational Inequalities of the Second Kind.

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)