A Finite Element Primer for Beginners The Basics
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
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Tarek I. Zohdi
A Finite Element Primer for Beginners The Basics 123
SpringerBriefs in Applied Sciences and Technology
More information about this series at http://www.springer.com/series/8884
Tarek I. Zohdi
A Finite Element Primer for Beginners The Basics
123
Tarek I. Zohdi University of California Berkeley, CA USA
ISSN 2191-530X ISBN 978-3-319-09035-1 DOI 10.1007/978-3-319-09036-8
ISSN 2191-5318 (electronic) ISBN 978-3-319-09036-8 (eBook)
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Preface
The purpose of this primer is to provide the reader with the basics of the Finite Element Method (FEM), primarily illustrated through a classical model problem, linearized elasticity. The topics covered are: • • • • • • • • • • • • • •
Weighted residual methods and Galerkin approximations; A model problem for one-dimensional linear elastostatics; Weak formulations in one dimension; Minimum principles in one dimension; Error estimation in one dimension; Construction of Finite Element basis functions in one dimension; Gaussian quadrature; Iterative solvers and element-by-element data structures; A model problem for three-dimensional linear ela
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