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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| Format: | eBook |
| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Series: | SpringerBriefs in Applied Sciences and Technology,
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| Online Access: | Click here to view the full text content |
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| 100 | 1 | |a Zohdi, Tarek I. |e author. | |
| 245 | 1 | 2 | |a A Finite Element Primer for Beginners : |b The Basics / |c by Tarek I. Zohdi. |
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. | |
| 300 | |a 1 online resource (ix, 108 pages) |b 24 illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a SpringerBriefs in Applied Sciences and Technology, |x 2191-530X | |
| 505 | 0 | |a Weighted residuals and Galerkin's method for a generic 1-D problem -- A model problem: 1-D elastostatics -- A finite element implementation in one dimension -- Accuracy of the finite element method -- Element by element iterative solutions schemes -- Weak formulations in three dimensions -- A finite element implementation in three dimensions -- Accuracy of the finite element method -- Time-dependent problems -- Summary and advanced topics. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Engineering. | |
| 650 | 0 | |a Computer mathematics. | |
| 650 | 0 | |a Mathematical models. | |
| 650 | 0 | |a Physics. | |
| 650 | 0 | |a Complexity, Computational. | |
| 650 | 0 | |a Continuum mechanics. | |
| 650 | 0 | |a Fluid mechanics. | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer eBooks | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319090351 |
| 830 | 0 | |a SpringerBriefs in Applied Sciences and Technology, |x 2191-530X | |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-3-319-09036-8 |y Click here to view the full text content |
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