000 03446nam a22005895i 4500
001 978-3-319-09036-8
003 DE-He213
005 20200421111657.0
007 cr nn 008mamaa
008 140812s2015 gw | s |||| 0|eng d
020 _a9783319090368
_9978-3-319-09036-8
024 7 _a10.1007/978-3-319-09036-8
_2doi
050 4 _aTA405-409.3
050 4 _aQA808.2
072 7 _aTG
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTEC021000
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aZohdi, Tarek I.
_eauthor.
245 1 2 _aA Finite Element Primer for Beginners
_h[electronic resource] :
_bThe Basics /
_cby Tarek I. Zohdi.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aIX, 108 p. 24 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Applied Sciences and Technology,
_x2191-530X
505 0 _aWeighted 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 _aThe 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 _aEngineering.
650 0 _aComputer mathematics.
650 0 _aMathematical models.
650 0 _aPhysics.
650 0 _aComplexity, Computational.
650 0 _aContinuum mechanics.
650 0 _aFluid mechanics.
650 1 4 _aEngineering.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aEngineering Fluid Dynamics.
650 2 4 _aComplexity.
650 2 4 _aComputational Science and Engineering.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
650 2 4 _aNumerical and Computational Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319090351
830 0 _aSpringerBriefs in Applied Sciences and Technology,
_x2191-530X
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-09036-8
912 _aZDB-2-ENG
942 _cEBK
999 _c54769
_d54769