000 | 03705nam a22006135i 4500 | ||
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001 | 978-3-319-49971-0 | ||
003 | DE-He213 | ||
005 | 20220801221042.0 | ||
007 | cr nn 008mamaa | ||
008 | 170127s2017 sz | s |||| 0|eng d | ||
020 |
_a9783319499710 _9978-3-319-49971-0 |
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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. |
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300 |
_aXI, 232 p. 28 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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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 |
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650 | 0 |
_aSolids. _93750 |
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650 | 0 |
_aDifferential equations. _953862 |
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650 | 0 |
_aNumerical analysis. _94603 |
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650 | 0 |
_aMathematical models. _94632 |
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650 | 0 |
_aEngineering mathematics. _93254 |
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650 | 0 |
_aEngineering—Data processing. _931556 |
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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 |