Description

Distributed by Elsevier Science on behalf of Science Press. This book discusses the accuracy of various finite element approximations and how to improve them, with the help of extrapolations and super convergence's post-processing technique. The discussion is based on asymptotic expansions for finite elements and finally reduces to the technique of integration by parts, embedding theorems and norm equivalence lemmas. The book is also devoted to explaining the origin of theorems.

Key Features

* Masterly exposition of the accuracy and improvement of finite element methods, highlighting the postprocessing * Emphasis on understanding of higher knowledge * Accessible to students, engaging for experts and professionals * Written by leading Chinese mathematicians, available internationally for the first time

Readership

Mathematicians and graduate students in mathematics, physics, and engineering.

Table of Contents

Euler's Algorithm and Finite Element Method; Function Spaces and Norm Equivalence Lemmas; From ð to Eigenvalue Computation of PDEs; Expansion of Integrals on Rectangular Elements; Expansion of Integrals on Triangle Elements; Quasi-super convergence and Quasi-expansion; Postprocessing

Details

No. of pages:
320
Language:
English
Copyright:
© 2006
Published:
Imprint:
Elsevier Science
Print ISBN:
9787030166562
Electronic ISBN:
9780080950778