Finite Element Methods: Accuracy and Improvement


  • Qun Lin, Academician of the Chinese Academy of Sciences; Professor, Academy of Mathematics and Systems Science, the Chinese Academy of Sciences
  • Jiafu Lin, Academy of Mathematics and systems Science, the Chinese Academy of Sciences

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


Book information

  • Published: November 2007
  • Imprint: ELSEVIER
  • ISBN: 978-7-03-016656-2

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