000 03800nam a22005895i 4500
001 978-3-319-70428-9
003 DE-He213
005 20220801221408.0
007 cr nn 008mamaa
008 171230s2018 sz | s |||| 0|eng d
020 _a9783319704289
_9978-3-319-70428-9
024 7 _a10.1007/978-3-319-70428-9
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aSCI096000
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.105
_223
100 1 _aZohdi, Tarek I.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_955784
245 1 2 _aA Finite Element Primer for Beginners
_h[electronic resource] :
_bThe Basics /
_cby Tarek I. Zohdi.
250 _a2nd ed. 2018.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2018.
300 _aXIII, 135 p. 41 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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:   •  Weighted residual methods and Galerkin approximations, •  A model problem for one-dimensional linear elastostatics, •  Weak formulations in one dimension, •  Minimum principles in one dimension, •  Error estimation in one dimension, •  Construction of Finite Element basis functions in one dimension, •  Gaussian Quadrature, •  Iterative solvers and element by element data structures, •  A model problem for three-dimensional linear elastostatics, •  Weak formulations in three dimensions, •  Basic rules for element construction in three-dimensions, •  Assembly of the system and solution schemes, •  An introduction to time-dependent problems and •  An introduction to rapid computation based on domain decomposition    and basic parallel processing.   The approach is to introduce the basic concepts first in one-dimension, then move on to three-dimensions. A relatively informal style is adopted. This primer is intended to be a “starting point”, which can be later augmented by the large array of rigorous, detailed, books in the area of Finite Element analysis. In addition to overall improvements to the first edition, this second edition also adds several carefully selected in-class exam problems from exams given over the last 15 years at UC Berkeley,  as well as a large number of take-home computer projects. These problems and projects are designed to be aligned to the theory provided in the main text of this primer. .
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aMathematics—Data processing.
_931594
650 0 _aDynamics.
_955785
650 0 _aNonlinear theories.
_93339
650 0 _aMathematical physics.
_911013
650 0 _aFluid mechanics.
_92810
650 0 _aMathematical models.
_94632
650 1 4 _aSolid Mechanics.
_931612
650 2 4 _aComputational Science and Engineering.
_955786
650 2 4 _aApplied Dynamical Systems.
_932005
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_931560
650 2 4 _aEngineering Fluid Dynamics.
_955787
650 2 4 _aMathematical Modeling and Industrial Mathematics.
_933097
710 2 _aSpringerLink (Online service)
_955788
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319704272
776 0 8 _iPrinted edition:
_z9783319704296
856 4 0 _uhttps://doi.org/10.1007/978-3-319-70428-9
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c79624
_d79624