Advances in Numerical Simulation in Physics and Engineering: Lecture Notes of the XV 'Jacques-Louis Lions' Spanish-French School

303 Pages·2014·4.587 MB·English

by  Carlos Parés, Carlos Vázquez, Frédéric Coquel (eds.)

3
Carlos Parés
Carlos Vázquez
Frédéric Coquel
Editors
Advances in Numerical
Simulation in Physics and
Engineering
Lecture Notes of the XV 'Jacques-Louis Lions'
Spanish-French School
SeMA
SEMA SIMAI Springer Series
Series Editors: Luca Formaggia (Editor-in-Chief) (cid:129) Pablo Pedregal (Editor-in-Chief) (cid:129)
WolfgangBangerth (cid:129)AmadeuDelshams (cid:129)CarlosParés (cid:129)LorenzoPareschi (cid:129)AndreaTosin (cid:129)
ElenaVazquez (cid:129)JorgeP.Zubelli (cid:129)PaoloZunino
Volume3
The SEMA SIMAI Springer Series is a joint series aiming to publish advanced
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tionsofmathematicstosocialandindustrialproblems,includingbiology,medicine,
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Carlos Parés Carlos Vázquez
• •
Frédéric Coquel
Editors
Advances in Numerical
Simulation in Physics
and Engineering
Lecture Notes of the XV
‘Jacques-Louis Lions’
Spanish-French School
123
Editors
CarlosParés CarlosVázquez
FacultaddeCiencias FacultaddeInformática
UniversidaddeMálaga UniversidadedaCorunQa
Málaga ACorunQa
Spain Spain
FrédéricCoquel
CentredeMathématiquesAppliquées
CNRSandEcolePolytechnique
Paris
France
ISSN2199-3041 ISSN2199-305X(electronic)
SEMASIMAISpringerSeries
ISBN978-3-319-02838-5 ISBN978-3-319-02839-2(eBook)
DOI10.1007/978-3-319-02839-2
SpringerChamHeidelbergNewYorkDordrechtLondon
LibraryofCongressControlNumber:2014943804
©SpringerInternationalPublishingSwitzerland 2014
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Thisbookisdedicatedto thememoryof
Prof.AntonioValleSánchez(1930–2012)
vi
AntonioValleSánchez,1930–2012
Preface
Thistwo-partbookcontainsthelecturenotesoftheXVSpanish–FrenchSchoolon
NumericalSimulationin PhysicsandEngineeringthattookplaceinTorremolinos
(Málaga,Spain)inSeptember2012:PartIcorrespondstothefourcoursesandPart
IItotheinvitedtalks.ThisseriesofSchoolsisorganizedevery2yearssince1984
anditintendstobringtogetherprofessionals,researchers,andstudentsinterestedin
numerical methods. The previous editions were held in Santiago de Compostela
(1984), Benalmádena, Málaga (1986), Madrid (1988), Santiago de Compostela
(1990), Benicassim, Castellón (1992), Sevilla (1994), Oviedo (1996), Córdoba
(1998), Laredo, Cantabria (2000), Jaca, Huesca (2002), Cádiz (2004), Castro
Urdiales,Cantabria(2006),Valladolid(2008),andLaCoruña(2010).Nextedition
will take place in Pamplona, Navarra in September 2014. Since its foundation
in 1991, the Sociedad Española de Matemática Aplicada (SEMA) is actively
involvedintheorganizationoftheseSchools.TheSpanish–FrenchSchoolsandthe
Congresos de Ecuaciones Diferenciales y Aplicaciones/Congresosde Matemática
Aplicada constitute the two main series of scientific meetings sponsored by the
Society.In2004,itwasdecidedtohonourtheFrenchmathematicianJacques-Louis
LionsbyaddinghisnametotheSchools.Since2008,theSociétédeMathématiques
AppliquéesetIndustrielles(SMAI)co-organizesthesemeetings.Themaingoalsof
theSchoolsarethefollowing:
• To initiate people interested in Applied Mathematics in research topics, in
particular in mathematical modeling and numerical simulation related to the
researchareasdevelopedinFranceandSpain.
• To be a meeting point for researchers, teachers, industrial technicians, and
studentsfrombothcountries.
• Toshowcurrentapplicationsofnumericalsimulationinindustry,inparticularin
FrenchandSpanishcompanies.
TheSchoolismainlydestinedto youngholdersofengineeringorsciencedegrees
whowanttostartworkinginnumericalsimulation,eitherinresearchorinthefield
vii
viii Preface
of industrial applications. The School is also oriented to technicians working in
industry who are interested in the use of numerical techniques in some problems
similartothosehandledbythem,orwhowanttoknowtheresearchlinesdeveloped
in Frenchand Spanish universitiesandscientific organisms.The Schoolis also of
interest for other university people, as it permits the exchange of experience and
knowledgeconcerningtheresearchdevelopedindifferentlaboratories.
Eacheditionisorganizedaroundseveralmaincoursesandconferencesdelivered
byrenownedFrenchandSpanishscientists.Onthislastoccasiontherewerefour6-h
courses,whoselecturerswereBegoñaCalvoandEstefaníaPeña,EnriqueDomingo
Fernández Nieto, Emmanuel Gobet, and Philippe LeFloch, together with five 1-h
talksgivenbyCarlosCastro,EmanueleSchiavi,MichelLanglais,FabienMangeant,
andDenisTalay.TheXVSchoolwasaveryspecialonefortheSpanishandFrench
communitiesofNumericalAnalysis:itwasatributetoProf.AntonioValleSánchez
who sadly passed away on June 24, 2012. Professor Valle was the first Spanish
studentofProf.Jacques-LouisLionsandhewasamongthemainpromotersofthe
research in modern Applied Mathematics in Spain. He was the founder of a very
large Spanish community of Numerical Methods in Partial Differential Equations
that grew up from the three universitiesin which he was a Professor:Santiago de
Compostela,Sevilla,andMálaga.Healsopromotedthescientificcollaborationwith
French researchersin this field. Professor AntonioValle was the first Presidentof
theSpanishSocietyforAppliedMathematics(SEMA)andoneofthepromotersof
theSpanish–FrenchSchoolsonNumericalSimulationinPhysicsandEngineering.
In particular, Prof. Valle was the President of the Organizing Committee of the
second edition of these schools, which took place in Benalmádena (Málaga).The
fifteenth edition of the Schools took place again in Málaga, the city where Prof.
Valle was bornand wherehe concludedhiscareer. It was thereforenaturalto pay
a special tribute to him and his invaluable work in promotingthe developmentof
research groups whose activity is strongly related to the subject of the Schools
in collaborationwith first levelFrench researchers.A special session in his honor
was included in the program, in which, besides the academic authorities and the
PresidentofSEMA,ProfessorsAlfredoBermúdezdeCastro(UniversityofSantiago
deCompostela)andMichelBernadou(PôleUniversitaireLéonarddeVinci)spoke
onbehalfofthemanySpanishdisciplesofProf.ValleandtheirFrenchcollaborators,
respectively.ItisworthmentioningthatProf.MichelBernadouhasbeeninvolved
intheorganizationoftheSchoolsfromthebeginning.
TheEditorswarmlythankallthespeakersandparticipantsfortheircontribution
tothesuccessoftheSchool.Inparticular,wewouldliketoacknowledgetheefforts
ofallthelecturersandspeakerswhohavecontributedto thisvolume.We arealso
grateful to the Organizing and the Scientific Committees for their efforts in the
preparationof the School.We extendourthanksandgratitudeto allsponsorsand
supportinginstitutionsfortheirvaluablecontribution:SEMA, SMAI,Universidad
Preface ix
deMálaga,theFrenchEmbassyinSpain,andtheSpanishMinistryofEconomyand
CompetitivenessthatawardedthegrantMTM2011-14775-E.
Málaga,Spain CarlosParés
ACoruña,Spain CarlosVázquez
Paris,France FrédéricCoquel
January2014