Summary

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. The 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. The most basic material in this book is taken from another earlier Chinese book, entitled Structure and Analysis of Efficient Finite Element Methods, written by Professor Q. Lin and author in 1996. This book is intended for postgraduate and graduate students, university teachers, scientists and engineers, who study or are engaged in computational mathematics, computational mechanics, applied mathematics, scientific and engineering computation or other related special fields.