LEADER 03857nam 22006855 450 001 9910254086703321 005 20250609110120.0 010 $a3-319-41159-4 024 7 $a10.1007/978-3-319-41159-0 035 $a(CKB)3710000000843103 035 $a(EBL)4662673 035 $a(DE-He213)978-3-319-41159-0 035 $a(MiAaPQ)EBC4662673 035 $a(PPN)195512367 035 $a(MiAaPQ)EBC6235607 035 $a(EXLCZ)993710000000843103 100 $a20160901d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOptimal design through the sub-relaxation method $eunderstanding the basic principles /$fby Pablo Pedregal 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (139 p.) 225 1 $aSEMA SIMAI Springer Series,$x2199-3041 ;$v11 300 $aDescription based upon print version of record. 311 08$a3-319-41158-6 327 $a1 Motivation and framework -- 2 Our approach -- 3 Relaxation through moments -- 4 Optimality -- 5 Simulation -- 6 Some extensions -- 7 Some technical proofs. 330 $aThis book provides a comprehensive guide to analyzing and solving optimal design problems in continuous media by means of the so-called sub-relaxation method. Though the underlying ideas are borrowed from other, more classical approaches, here they are used and organized in a novel way, yielding a distinct perspective on how to approach this kind of optimization problems. Starting with a discussion of the background motivation, the book broadly explains the sub-relaxation method in general terms, helping readers to grasp, from the very beginning, the driving idea and where the text is heading. In addition to the analytical content of the method, it examines practical issues like optimality and numerical approximation. Though the primary focus is on the development of the method for the conductivity context, the book?s final two chapters explore several extensions of the method to other problems, as well as formal proofs. The text can be used for a graduate course in optimal design, even if the method would require some familiarity with the main analytical issues associated with this type of problems. This can be addressed with the help of the provided bibliography. 410 0$aSEMA SIMAI Springer Series,$x2199-3041 ;$v11 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aMathematical optimization 606 $aMechanics 606 $aMechanics, Applied 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008 606 $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aMathematical optimization. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 14$aApplications of Mathematics. 615 24$aAnalysis. 615 24$aOptimization. 615 24$aTheoretical and Applied Mechanics. 676 $a510 700 $aPedregal$b Pablo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0150986 906 $aBOOK 912 $a9910254086703321 996 $aOptimal design through the sub-relaxation method$91523542 997 $aUNINA