Finite Element Methods
Accuracy and Improvement
- 1st Edition - February 5, 2008
- 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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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
Mathematicians and graduate students in mathematics, physics, and engineering
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
- Edition: 1
- Latest edition
- Published: February 5, 2008
- Language: English
QL
Qun Lin
Affiliations and expertise
Academician of the Chinese Academy of Sciences;
Professor, Academy of Mathematics and Systems Science, the Chinese Academy of SciencesJL
Jiafu Lin
Affiliations and expertise
Academy of Mathematics and systems Science, the Chinese Academy of Sciences