TY - BOOK UR - http://lib.ugent.be/catalog/ebk01:3710000000219401 ID - ebk01:3710000000219401 LA - eng TI - A Finite Element Primer for Beginners The Basics PY - 2015 SN - 9783319090368 AU - Zohdi, Tarek I. author. AB - 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. AB - 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. ER -Download RIS file
03399nam a22005655i 4500 | |||
001 | 978-3-319-09036-8 | ||
003 | DE-He213 | ||
005 | 20151030021438.0 | ||
007 | cr nn 008mamaa | ||
008 | 140812s2015 gw | s |||| 0|eng d | ||
020 | a 9783319090368 9 978-3-319-09036-8 | ||
024 | 7 | a 10.1007/978-3-319-09036-8 2 doi | |
050 | 4 | a TA405-409.3 | |
050 | 4 | a QA808.2 | |
072 | 7 | a TG 2 bicssc | |
072 | 7 | a TEC009070 2 bisacsh | |
072 | 7 | a TEC021000 2 bisacsh | |
082 | 4 | a 620.1 2 23 | |
100 | 1 | a Zohdi, Tarek I. e author. | |
245 | 1 | 2 | a A Finite Element Primer for Beginners h [electronic resource] : b The Basics / c by Tarek I. Zohdi. |
264 | 1 | a Cham : b Springer International Publishing : b Imprint: Springer, c 2015. | |
300 | a IX, 108 p. 24 illus. b online resource. | ||
336 | a text b txt 2 rdacontent | ||
337 | a computer b c 2 rdamedia | ||
338 | a online resource b cr 2 rdacarrier | ||
347 | a text file b PDF 2 rda | ||
490 | 1 | a SpringerBriefs in Applied Sciences and Technology, x 2191-530X | |
505 | 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 | a Engineering. | ||
650 | a Computer mathematics. | ||
650 | a Mathematical models. | ||
650 | a Physics. | ||
650 | a Complexity, Computational. | ||
650 | a Continuum mechanics. | ||
650 | a Fluid mechanics. | ||
650 | 1 | 4 | a Engineering. |
650 | 2 | 4 | a Continuum Mechanics and Mechanics of Materials. |
650 | 2 | 4 | a Engineering Fluid Dynamics. |
650 | 2 | 4 | a Complexity. |
650 | 2 | 4 | a Computational Science and Engineering. |
650 | 2 | 4 | a Mathematical Modeling and Industrial Mathematics. |
650 | 2 | 4 | a Numerical and Computational Physics. |
710 | 2 | a SpringerLink (Online service) | |
773 | t Springer eBooks | ||
776 | 8 | i Printed edition: z 9783319090351 | |
830 | a SpringerBriefs in Applied Sciences and Technology, x 2191-530X | ||
856 | 4 | u http://dx.doi.org/10.1007/978-3-319-09036-8 | |
912 | a ZDB-2-ENG | ||
950 | a Engineering (Springer-11647) |
All data below are available with an Open Data Commons Open Database License. You are free to copy, distribute and use the database; to produce works from the database; to modify, transform and build upon the database. As long as you attribute the data sets to the source, publish your adapted database with ODbL license, and keep the dataset open (don't use technical measures such as DRM to restrict access to the database).
The datasets are also available as weekly exports.