000 | 03583nam a22005415i 4500 | ||
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001 | 978-3-540-44486-2 | ||
003 | DE-He213 | ||
005 | 20190213151331.0 | ||
007 | cr nn 008mamaa | ||
008 | 100806s2000 gw | s |||| 0|eng d | ||
020 |
_a9783540444862 _9978-3-540-44486-2 |
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024 | 7 |
_a10.1007/BFb0106739 _2doi |
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050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBK _2thema |
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082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aKawohl, Bernhard. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aOptimal Shape Design _h[electronic resource] : _bLectures given at the joint C.I.M./C.I.M.E. Summer School held in Tróia, Portugal, June 1–6, 1998 / _cby Bernhard Kawohl, Olivier Pironneau, Luc Tartar, Jean-Paul Zolésio ; edited by Arrigo Cellina, António Ornelas. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2000. |
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300 |
_aXII, 392 p. _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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_atext file _bPDF _2rda |
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490 | 1 |
_aC.I.M.E. Foundation Subseries ; _v1740 |
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505 | 0 | _aSome nonconvex shape optimization problems -- An introduction to the homogenization method in optimal design -- Shape analysis and weak flow -- Optimal shape design by local boundary variations. | |
520 | _aOptimal Shape Design is concerned with the optimization of some performance criterion dependent (besides the constraints of the problem) on the "shape" of some region. The main topics covered are: the optimal design of a geometrical object, for instance a wing, moving in a fluid; the optimal shape of a region (a harbor), given suitable constraints on the size of the entrance to the harbor, subject to incoming waves; the optimal design of some electrical device subject to constraints on the performance. The aim is to show that Optimal Shape Design, besides its interesting industrial applications, possesses nontrivial mathematical aspects. The main theoretical tools developed here are the homogenization method and domain variations in PDE. The style is mathematically rigorous, but specifically oriented towards applications, and it is intended for both pure and applied mathematicians. The reader is required to know classical PDE theory and basic functional analysis. | ||
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aMathematical optimization. | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aCalculus of Variations and Optimal Control; Optimization. _0http://scigraph.springernature.com/things/product-market-codes/M26016 |
700 | 1 |
_aPironneau, Olivier. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aTartar, Luc. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aZolésio, Jean-Paul. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aCellina, Arrigo. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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700 | 1 |
_aOrnelas, António. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662204214 |
776 | 0 | 8 |
_iPrinted edition: _z9783540679714 |
830 | 0 |
_aC.I.M.E. Foundation Subseries ; _v1740 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0106739 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10310 _d10310 |