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 elastost...

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Príomhchruthaitheoir: Zohdi, Tarek I. (Údar)
Údar corparáideach: SpringerLink (Online service)
Formáid: Ríomhleabhar
Teanga:English
Foilsithe / Cruthaithe: Cham : Springer International Publishing : Imprint: Springer, 2015.
Sraith:SpringerBriefs in Applied Sciences and Technology,
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Achoimre: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.
Cur síos fisiciúil:1 online resource (ix, 108 pages) 24 illustrations
ISBN:9783319090368
ISSN:2191-530X