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A Finite Element Primer for Beginner...
~
Zohdi, Tarek I.
A Finite Element Primer for Beginners = The Basics /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
A Finite Element Primer for Beginners/ by Tarek I. Zohdi.
其他題名:
The Basics /
作者:
Zohdi, Tarek I.
面頁冊數:
XIII, 135 p. 41 illus.online resource. :
Contained By:
Springer Nature eBook
標題:
Mechanics. -
電子資源:
https://doi.org/10.1007/978-3-319-70428-9
ISBN:
9783319704289
A Finite Element Primer for Beginners = The Basics /
Zohdi, Tarek I.
A Finite Element Primer for Beginners
The Basics /[electronic resource] :by Tarek I. Zohdi. - 2nd ed. 2018. - XIII, 135 p. 41 illus.online resource.
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: • 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 elastostatics, • Weak formulations in three dimensions, • Basic rules for element construction in three-dimensions, • Assembly of the system and solution schemes, • An introduction to time-dependent problems and • An introduction to rapid computation based on domain decomposition and basic parallel processing. The approach is to introduce the basic concepts first in one-dimension, then move on to three-dimensions. A relatively informal style is adopted. This primer is intended to be a “starting point”, which can be later augmented by the large array of rigorous, detailed, books in the area of Finite Element analysis. In addition to overall improvements to the first edition, this second edition also adds several carefully selected in-class exam problems from exams given over the last 15 years at UC Berkeley, as well as a large number of take-home computer projects. These problems and projects are designed to be aligned to the theory provided in the main text of this primer. .
ISBN: 9783319704289
Standard No.: 10.1007/978-3-319-70428-9doiSubjects--Topical Terms:
527684
Mechanics.
LC Class. No.: TA349-359
Dewey Class. No.: 531
A Finite Element Primer for Beginners = The Basics /
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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: • 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 elastostatics, • Weak formulations in three dimensions, • Basic rules for element construction in three-dimensions, • Assembly of the system and solution schemes, • An introduction to time-dependent problems and • An introduction to rapid computation based on domain decomposition and basic parallel processing. The approach is to introduce the basic concepts first in one-dimension, then move on to three-dimensions. A relatively informal style is adopted. This primer is intended to be a “starting point”, which can be later augmented by the large array of rigorous, detailed, books in the area of Finite Element analysis. In addition to overall improvements to the first edition, this second edition also adds several carefully selected in-class exam problems from exams given over the last 15 years at UC Berkeley, as well as a large number of take-home computer projects. These problems and projects are designed to be aligned to the theory provided in the main text of this primer. .
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