Finite Element Methods

by Lin; Lin

• ISBN13: 9787030166562
• ISBN10: 7030166566
• Format: Hardcover
• Copyright: 2007-11-28
• Publisher: Elsevier Science

Summary

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. * 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

Table of Contents

Euler's Algorithm and Finite Element Method

Function Spaces and Norm Equivalence Lemmas

From o to Eigenvalue Computation of PDEs

Expansion of Integrals on Rectangular Elements

Expansion of Integrals on Triangle Elements

Quasi-super convergence and Quasi-expansion

Postprocessing

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