9787030166562

Finite Element Methods: Accuracy and Improvement

by ;
  • ISBN13:

    9787030166562

  • ISBN10:

    7030166566

  • Format: Hardcover
  • Copyright: 2007-11-28
  • Publisher: Elsevier Science

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Supplemental Materials

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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
Table of Contents provided by Publisher. All Rights Reserved.

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