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Superconvergence Analysis and a Posteriori Error Estimation in Finite Element Methods – Series in Information and Computational Science 40 Author(s): Ningning Yan Publisher: Science Press Published Date: 2008 ISBN: 978-7-03-021299-3 Pages: 229 Language: English Type: Book Cover: Hard Cover Our Price: $101.20   Avail: In-Stock Description The purpose of this book is to give an essentially self-contained presentation of the mathematical theory underlying the global superconvergence analysis and the recovery type a posteriori error estimates. Since, as mentioned in the beginning, the literature and research on superconvergence and a posteriori error estimation are huge, it is impossible to include all relevant material in this book. This book tries to summarize most of the research results on global superconvergence analysis completed by the author and her colleagues, especially by Professor Q. Lin’s group. Instead of using the Green function theory as the theoretical basis as in most other earlier books on superconvergence, our global superconvergence analysis is based on the so-called integral identity technique. For a posteriori error estimates, this book focuses on the recovery type a posteriori error estimate, which is more close to the superconvergence analysis in its theoretical analysis. Main Contents Chapter 1 Basic Framework Chapter 2 Integral identities Chapter 3 Superconvergence Analysis Chapter 4 More discussions on high accuracy analysis Chapter 5 A posteriori error estimates

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