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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| المؤلف الرئيسي: | |
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| مؤلف مشترك: | |
| التنسيق: | كتاب الكتروني |
| اللغة: | English |
| منشور في: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| سلاسل: | SpringerBriefs in Applied Sciences and Technology,
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| الموضوعات: | |
| الوصول للمادة أونلاين: | Click here to view the full text content |
| الوسوم: |
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| الملخص: | 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. |
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| وصف مادي: | 1 online resource (ix, 108 pages) 24 illustrations |
| ردمك: | 9783319090368 |
| تدمد: | 2191-530X |