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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Tác giả chính: Zohdi, Tarek I
Định dạng: Sách
Ngôn ngữ:English
Được phát hành: Springer 2015
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Truy cập trực tuyến:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57627
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spelling 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
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
topic Finite element method
Engineering
Continuum Mechanics
Mechanics of Materials
spellingShingle 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
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