Overview
- Presents absolute essentials of the Finite Element Method
- Basic introduction to some essential mathematical concepts and to the mechanics of a continuum
- The author has long years of experience teaching finite element classes
- Illustrated through the classical model problem of linearized elasticity
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity. The topics covered are:
(1) Weighted residual methods and Galerkin approximations,
(2) A model problem for one-dimensional linear elastostatics,
(3) Weak formulations in one dimension,
(4) Minimum principles in one dimension,
(5) Error estimation in one dimension,
(5) Construction of Finite Element basis functions in one dimension,
(6) Gaussian Quadrature,
(7) Iterative solvers and element by element data structures,
(8) A model problem for three-dimensional linear elastostatics,
(9) Weak formulations in three dimensions,
(10) Basic rules for element construction in three-dimensions,
(11) Assembly of the system and solution schemes,
(12) Assembly of the system and solution schemes,
(13) An introduction to time-dependent problems and
(14) A brief introduction to rapid computation based on domain decomposition and basic parallel processing.
Reviews
“The book by Zohdi … discusses the FEM 1D and 3D problems in linear elasticity. … The book looks attractive ad is easy to read. … this is a nice little elementary book on FEM, which has an attractive and non-intimidating form for the students beginning her/his FEM studies, or for individuals whose areas of interest is different but desire to get a taste of what FEM is all about.” (Dan Givoli, IACM Expressions, Issue 39, July, 2016)
Authors and Affiliations
Bibliographic Information
Book Title: A Finite Element Primer for Beginners
Book Subtitle: The Basics
Authors: Tarek I. Zohdi
Series Title: SpringerBriefs in Applied Sciences and Technology
DOI: https://doi.org/10.1007/978-3-319-09036-8
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2015
eBook ISBN: 978-3-319-09036-8Published: 12 August 2014
Series ISSN: 2191-530X
Series E-ISSN: 2191-5318
Edition Number: 1
Number of Pages: IX, 108
Number of Illustrations: 24 b/w illustrations
Topics: Solid Mechanics, Engineering Fluid Dynamics, Complexity, Computational Science and Engineering, Mathematical Modeling and Industrial Mathematics, Numerical and Computational Physics, Simulation