Optimal Shape Design Lectures given at the Joint C.I.M./C.I.M.E. Summer School held in Troia (Portugal), June 1-6, 1998 /

Optimal 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 optim...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Kawohl, B. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Pironneau, O. (http://id.loc.gov/vocabulary/relators/aut), Tartar, L. (http://id.loc.gov/vocabulary/relators/aut), Zolesio, J.-P (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Cellina, A. (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Ornelas, A. (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
Έκδοση:1st ed. 2000.
Σειρά:C.I.M.E. Foundation Subseries ; 1740
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 03599nam a2200565 4500
001 978-3-540-44486-2
003 DE-He213
005 20191024202240.0
007 cr nn 008mamaa
008 100806s2000 gw | s |||| 0|eng d
020 |a 9783540444862  |9 978-3-540-44486-2 
024 7 |a 10.1007/BFb0106739  |2 doi 
040 |d GrThAP 
050 4 |a QA299.6-433 
072 7 |a PBK  |2 bicssc 
072 7 |a MAT034000  |2 bisacsh 
072 7 |a PBK  |2 thema 
082 0 4 |a 515  |2 23 
100 1 |a Kawohl, B.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Optimal Shape Design  |h [electronic resource] :  |b Lectures given at the Joint C.I.M./C.I.M.E. Summer School held in Troia (Portugal), June 1-6, 1998 /  |c by B. Kawohl, O. Pironneau, L. Tartar, J.-P. Zolesio ; edited by A. Cellina, A. Ornelas. 
250 |a 1st ed. 2000. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2000. 
300 |a XII, 392 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a C.I.M.E. Foundation Subseries ;  |v 1740 
505 0 |a Some 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 |a Optimal 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 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 0 |a Calculus of variations. 
650 1 4 |a Analysis.  |0 http://scigraph.springernature.com/things/product-market-codes/M12007 
650 2 4 |a Calculus of Variations and Optimal Control; Optimization.  |0 http://scigraph.springernature.com/things/product-market-codes/M26016 
700 1 |a Pironneau, O.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Tartar, L.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Zolesio, J.-P.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Cellina, A.  |e editor.  |4 edt  |4 http://id.loc.gov/vocabulary/relators/edt 
700 1 |a Ornelas, A.  |e editor.  |4 edt  |4 http://id.loc.gov/vocabulary/relators/edt 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783662204214 
776 0 8 |i Printed edition:  |z 9783540679714 
830 0 |a C.I.M.E. Foundation Subseries ;  |v 1740 
856 4 0 |u https://doi.org/10.1007/BFb0106739  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
912 |a ZDB-2-LNM 
912 |a ZDB-2-BAE 
950 |a Mathematics and Statistics (Springer-11649)