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Finite Element Methods

Accuracy and Improvement

  • 1st Edition - November 28, 2007
  • Latest edition
  • Authors: Qun Lin, Jiafu Lin
  • Language: English

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 e… Read more

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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 MethodFunction Spaces and Norm Equivalence LemmasFrom ð to Eigenvalue Computation of PDEsExpansion of Integrals on Rectangular ElementsExpansion of Integrals on Triangle ElementsQuasi-super convergence and Quasi-expansionPostprocessing

Product details

  • Edition: 1
  • Latest edition
  • Published: February 5, 2008
  • Language: English

About the authors

QL

Qun Lin

Affiliations and expertise
Academician of the Chinese Academy of Sciences; Professor, Academy of Mathematics and Systems Science, the Chinese Academy of Sciences

JL

Jiafu Lin

Affiliations and expertise
Academy of Mathematics and systems Science, the Chinese Academy of Sciences