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008 170127s2017 sz | s |||| 0|eng d
020 _a9783319499710
_9978-3-319-49971-0
024 7 _a10.1007/978-3-319-49971-0
_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 _aWhiteley, Jonathan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_953861
245 1 0 _aFinite Element Methods
_h[electronic resource] :
_bA Practical Guide /
_cby Jonathan Whiteley.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXI, 232 p. 28 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical Engineering,
_x2192-4740
505 0 _aAn overview of the finite element method -- A first example -- Linear boundary value problems -- Higher order basis functions -- Nonlinear boundary value problems -- Systems of ordinary differential equations -- Linear elliptic partial differential equations -- More general elliptic problems -- Quadrilateral elements -- Higher order basis functions -- Nonlinear elliptic partial differential equations -- Systems of elliptic equations -- Parabolic partial differential equations.
520 _aThis book presents practical applications of the finite element method to general differential equations. The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations. The author generalizes the presented approach to partial differential equations which include nonlinearities. The book also includes variations of the finite element method such as different classes of meshes and basic functions. Practical application of the theory is emphasised, with development of all concepts leading ultimately to a description of their computational implementation illustrated using Matlab functions. The target audience primarily comprises applied researchers and practitioners in engineering, but the book may also be beneficial for graduate students.
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aDifferential equations.
_953862
650 0 _aNumerical analysis.
_94603
650 0 _aMathematical models.
_94632
650 0 _aEngineering mathematics.
_93254
650 0 _aEngineering—Data processing.
_931556
650 1 4 _aSolid Mechanics.
_931612
650 2 4 _aDifferential Equations.
_953863
650 2 4 _aNumerical Analysis.
_94603
650 2 4 _aMathematical Modeling and Industrial Mathematics.
_933097
650 2 4 _aMathematical and Computational Engineering Applications.
_931559
710 2 _aSpringerLink (Online service)
_953864
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319499703
776 0 8 _iPrinted edition:
_z9783319499727
776 0 8 _iPrinted edition:
_z9783319842882
830 0 _aMathematical Engineering,
_x2192-4740
_953865
856 4 0 _uhttps://doi.org/10.1007/978-3-319-49971-0
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c79240
_d79240