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544 Pages·2009·7.43 MB·English
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VARIATIONAL ANALYSIS AND AEROSPACE ENGINEERING Springer Optimization and Its Applications VOLUME33 ManagingEditor PanosM.Pardalos(UniversityofFlorida) Editor–CombinatorialOptimization Ding-ZhuDu(UniversityofTexasatDallas) AdvisoryBoard J.Birge(UniversityofChicago) C.A.Floudas(PrincetonUniversity) F.Giannessi(UniversityofPisa) H.D.Sherali(VirginiaPolytechnicandStateUniversity) T.Terlaky(McMasterUniversity) Y.Ye(StanfordUniversity) AimsandScope Optimizationhasbeenexpandinginalldirectionsatanastonishingratedur- ing the last few decades. New algorithmic and theoretical techniques have beendeveloped,thediffusionintootherdisciplineshasproceededatarapid pace, and our knowledge of all aspects of the field has grown even more profound.Atthesametime,oneofthemoststriking trendsinoptimization is the constantly increasing emphasis on the interdisciplinary nature of the field.Optimizationhasbeenabasictoolinallareasofappliedmathematics, engineering,medicine,economicsandothersciences. The series Optimization and Its Applications publishes undergraduate and graduate textbooks, monographs and state-of-the-art expository works that focus on algorithms for solving optimization problems and also study applications involving such problems. Some of the topics covered include nonlinear optimization (convex and nonconvex), network flow problems, stochastic optimization, optimal control, discrete optimization, multiobjec- tive programming, description of software packages, approximation tech- niquesandheuristicapproaches. VARIATIONAL ANALYSIS AND AEROSPACE ENGINEERING EditedBy GIUSEPPEBUTTAZZO UniversityofPisa,Italy ALDOFREDIANI UniversityofPisa,Italy 123 Editors GiuseppeButtazzo AldoFrediani Universita`diPisa Universita`diPisa Dipto.Matematica Dipto.IngegneriaAerospaziale LargoB.Pontecorvo,5 ViaDiotisalvi,2 56127Pisa,Italy 56126Pisa,Italy [email protected] [email protected] ISSN1931-6828 ISBN978-0-387-95856-9 e-ISBN978-0-387-95857-6 DOI10.1007/978-0-387-95857-6 SpringerDordrechtHeidelbergLondonNewYork LibraryofCongressControlNumber:2009929316 AMSSubjectClassifications(2000):76-06,79-06 (cid:2)c SpringerScience+BusinessMedia,LLC2009 Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewritten permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Usein connectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware, orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden. Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyare notidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjectto proprietaryrights. Printedonacid-freepaper SpringerispartofSpringerScience+BusinessMedia(www.springer.com) ThisbookisdedicatedtoAngeloMieleonthe occasionofhis85thbirthday. “This page left intentionally blank.” Preface Inrecentyears,newmathematicalmethodsandtoolshavebeendevelopedandap- pliedextensivelyinthefieldofaerospaceengineering,forexample,finiteelement method,computationalfluiddynamics,optimization,control,eigenvaluesproblems. The interaction between aerospace engineering and mathematics has been signifi- cantinthepastforbothengineersandmathematiciansandwillbeevenstrongerin thefuture. The School of Mathematics “Guido Stampacchia” of the “Ettore Majorana” FoundationandCentreofScientificCultureisthemostappropriatesiteforaerospace engineersandmathematicianstomeet.Thepresentvolumecollectsthepaperspre- sentedattheEriceWorkshopheldonSeptember8–16,2007,whichwasorganized in order to allow aerospace engineers and mathematicians from Universities, Re- searchCentres,andIndustrytodebateadvancedproblemsinaerospaceengineering requiringextensivemathematicalapplications. Theeditorsareconfidenttocapturetheinterestofpeoplefrombothacademiaand industry,particularly,youngresearchersworkingonnewfrontiersofmathematical applicationstoengineering. The workshop was dedicated to Angelo Miele, Professor at Rice University in Houston, on the occasion of his 85th birthday. Angelo Miele is both an eminent mathematicianandafamousengineer,amongotheractivities,abletoconceivenew scenarios for space exploration. He has been the advisor of many PhD students atHouston, whobecame well-known professorsinuniversities worldwide and are speakersatthisworkshop. Pisa, GiuseppeButtazzo,Pisa(Italy) July2008 AldoFrediani,Pisa(Italy) vii “This page left intentionally blank.” Acknowledgments This volume collects the contributions presented in the workshop on “Variational AnalysisandAerospaceEngineering,”heldinEriceonSeptember8–16,2007.The workshopaswellasthepreparationofthisvolumehavebeenpossiblethankstothe contributionsofthefollowingorganisationsandindividuals: – Universita` diPisa,Pisa,Italy – GNAMPA(GruppoNazionaleperl’AnalisiMatematica,laProbabilita` eleloro Applicazioni),Italy – DipartimentodiIngegneriaAerospazialediPisa,Pisa,Italy – TechnicalUniversityofTechnology,Delft,Holland – ContessaMariaFedeCaproni,Roma,Italy – IDS,Pisa,Italy – AgustaWestland,CascinaCosta,Italy – FondazioneCassadiRisparmiodiPisa,Pisa,Italy – ConsorzioEtruriaSCArl,Montelupo,Firenze,Italy WegratefullyacknowledgetheE.MajoranaCentreandFoundationforScientific CultureandtheprecioushelpbyFrancoGiannessiandEmanueleRizzo. ix

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This proceedings volume consists of papers presented at the Variational Analysis and Aerospace Engineering conference held in Erice, Italy in September 2007 at the International School of Mathematics, Guido Stampacchia.The workshop provided a platform for aerospace engineers and mathematicians (from
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