Finite Element Methods: Accuracy and Improvement book cover

Finite Element Methods: Accuracy and Improvement

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.

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

Hardbound, 320 Pages

Published: November 2007

Imprint: Elsevier

ISBN: 978-7-03-016656-2

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

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