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 problem for one-dimensional linear el...
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oai:scholar.dlu.edu.vn:DLU123456789-576272023-11-11T05:48:03Z A Finite Element Primer for Beginners:The Basics Zohdi, Tarek I Finite element method Engineering Continuum Mechanics Mechanics of Materials 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. 2015-08-19T07:10:14Z 2015-08-19T07:10:14Z 2015 Book 978-3-319-09036-8 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57627 en application/pdf Springer |
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Thư viện Trường Đại học Đà Lạt |
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English |
topic |
Finite element method Engineering Continuum Mechanics Mechanics of Materials |
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Finite element method Engineering Continuum Mechanics Mechanics of Materials Zohdi, Tarek I A Finite Element Primer for Beginners:The Basics |
description |
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. |
format |
Book |
author |
Zohdi, Tarek I |
author_facet |
Zohdi, Tarek I |
author_sort |
Zohdi, Tarek I |
title |
A Finite Element Primer for Beginners:The Basics |
title_short |
A Finite Element Primer for Beginners:The Basics |
title_full |
A Finite Element Primer for Beginners:The Basics |
title_fullStr |
A Finite Element Primer for Beginners:The Basics |
title_full_unstemmed |
A Finite Element Primer for Beginners:The Basics |
title_sort |
finite element primer for beginners:the basics |
publisher |
Springer |
publishDate |
2015 |
url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57627 |
_version_ |
1819771081912745984 |