About the book
FINITE ELEMENT METHODS: Super-convergence Analysis and a Posteriori Error Estimation gives an essentially self-contained presentation of the mathematical theory underlying the global super-convergence analysis and the recovery type a posteriori error estimates. The book tries to summarize most of the research results on global super-convergence analysis completed by the author and her colleagues, especially by Professor Q. Lin's group. The basic material in this book is taken from another earlier Chinese book, Structure and Analysis of Efficient Finite Element Methods, written by Professor Q. Lin and the author in 1996. Instead of using the Green Function Theory as the theoretical basis as in most other earlier books on super-convergence, the global super-convergence analysis in this book 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 super-convergence analysis in its theoretical analysis.