Table Of Content133
Harald van Brummelen · Cornelis Vuik
Matthias Möller · Clemens Verhoosel
Bernd Simeon · Bert Jüttler Editors
Isogeometric
Analysis and
Applications
Editorial Board
T. J.Barth
M.Griebel
2018 D.E.Keyes
R.M.Nieminen
D.Roose
T.Schlick
Lecture Notes
133
in Computational Science
and Engineering
Editors:
TimothyJ.Barth
MichaelGriebel
DavidE.Keyes
RistoM.Nieminen
DirkRoose
TamarSchlick
Moreinformationaboutthisseriesathttp://www.springer.com/series/3527
Harald van Brummelen • Cornelis Vuik (cid:129)
¨
Matthias Moller (cid:129) Clemens Verhoosel (cid:129)
¨
Bernd Simeon (cid:129) Bert Juttler
Editors
Isogeometric Analysis
and Applications 2018
Editors
HaraldvanBrummelen CornelisVuik
DepartmentofMechanicalEngineering DepartmentofAppliedMathematics
EindhovenUniversityofTechnology DelftUniversityofTechnology
Eindhoven,TheNetherlands Delft,TheNetherlands
MatthiasMo¨ller ClemensVerhoosel
DepartmentofAppliedMathematics DepartmentofMechanicalEngineering
DelftUniversityofTechnology EindhovenUniversityofTechnology
Delft,TheNetherlands Eindhoven,TheNetherlands
BerndSimeon BertJu¨ttler
FachbereichMathematik Institutfu¨rAngewandteGeometrie
TechnischeUniversita¨tKaiserslautern JohannesKeplerUniversita¨tLinz
Kaiserslautern,Germany Linz,Austria
ISSN1439-7358 ISSN2197-7100 (eBook)
LectureNotesinComputationalScienceandEngineering
ISBN978-3-030-49835-1 ISBN978-3-030-49836-8 (eBook)
https://doi.org/10.1007/978-3-030-49836-8
MathematicsSubjectClassification:65D05,65D07,65D17,65D32,65M38,65M50,65M55,65M60,
65N30,65N38,65N55
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v
Participantsofthe3rdConferenceonIsogeometricAnalysisandApplications(IGAA2018)held
April23rd–26th,2018inDelft,TheNetherlands
Foreword
This book contains a selection of papers emanating from the third workshop in
the IGAA series, Isogeometric Analysis and Applications—IGAA 2018, held
at the Science Centre Delft, on the campus of the Delft University of Technology
(TUDelft),Monday,April23rdthroughThursday,April26th,2018inthehistoric
and picturesque city of Delft, home of the father of microbiology, Antonie van
Leeuwenhoek,1632–1723,thepeerlesspainterJohannesVermeer,1632–1675,and
the beautiful blue and white Delft ceramic pottery. The program consisted of five
plenarylecturesand45contributedpresentationsandapostersessionandreception
at the conclusion of the first day’s presentations. The third day of the conference
wasdesignatedIndustryDayandconcludedwithalivelypanelsessionentitledThe
FutureofIGAinIndustry.ThiswasthefirstsessionofitskindatanIGAconference
butcertainlywillnotbethelast.Weexpecteachsubsequentconferencedevotedto
Isogeometric Analysis to adopt similar themes for sessions and panel discussions
duetotheincreasedinterestintheuseofIGAinindustryandconcomitantlyamong
theprovidersofcommercialsoftwaretools.Thesocialhighlightoftheconference
wastheexcellentbanquetheldattheMichelin-starredrestaurantAandeZweth.
TheplenarylecturesweregivenbyJosefKiendloftheNorwegianUniversityof
ScienceandTechnology,KenjiTakadaoftheHondaMotorCompany,JessicaZhang
ofCarnegieMellonUniversity,CarlottaGiannellioftheUniversityofFlorence,and
the writer. After opening remarks, the technical sessions began with my plenary
lectureinwhichIpresentedanoverviewoftheanalyticalattributesofIGAvis-á-vis
classical finite element analysis (FEA) and some illustrations of the applicability
to problems whose features are not amenable to solution by classical FEA. Josef
Kiendlpresentedasummaryofhisresearchinthinshellstructuralanalysis,anarea
that he pioneered and one in which IGA has created a renaissance. Kenji Takada
described the uses of IGA at Honda Motor Company and showed the efficiency
and accuracy benefits of IGA in real-world automotive engineering applications.
Kenji amused the audience with the story of how he serendipitously began his
study of IGA. Jessica Zhang described her extensive work on isogeometric model
development and many recent industrial applications. Carlotta Giannelli presented
vii
viii Foreword
her mathematical research in adaptive IGA schemes utilizing hierarchical splines,
animportanttechnologyfortheefficientsolutionofpracticalproblems.
The contributed presentations likewise spanned the very mathematical through
the very applied, and everything in between, a hallmark of IGA. It seems there
is something for everyone. However, what occurred at IGAA 2018 was a much
greater focus on the industrial sector. This definitely appears to be a new thrust in
IGAandwecanlookforwardtowardmuchgreaterinteractionwithindustryinthe
future. It seems too that many industrial users are calling for the development of
IGAmodelingtoolssothattheycanuseIGAsolutioncapabilitiesthatnowexistin
commercially available FEA codes, such as LS-DYNA, and several companies in
themeshandmodelgenerationareahavebeguntorespondtothisopportunity.
Atthesametime,IGAresearchisstillagrowingandvibrantarea.Thesubject
isrichwithpossibilitiesofnewdevelopments,evenbreakthroughs.Iampersonally
always amazed when classical areas of analysis are addressed anew by IGA and
fundamentallynewtechnologiesemergethatofferuniquecombinationsofaccuracy,
ease of use, and efficiency. IGA also has the potential to open entirely new
application areas, especially ones where smooth basis functions are desirable or
evennecessary.TheuniqueconnectionsembodiedintheIGAthemebetweendesign
and analysis provide a strong platform for future widespread adoption in industry
andcommercialization.
The papers in this volume could only sample some of the broad spectrum of
topicspresentedatthemeeting.Nevertheless,theygiveanindicationofthebreadth
ofthesubjectandprovideimportanttechnicaladvancementsinseveralareas.Like
its predecessors in the IGAA workshop series, this proceedings volume is an
importantcontributiontothegrowingscientificliteratureonIsogeometricAnalysis.
Manythanksareduetotheorganizersoftheworkshopfortheirveryhardwork
whichproducedameetingofthehighestscientificqualityandonethatwastrulya
greatpleasuretoattend.
Austin,TX,USA ThomasJ.R.Hughes
June2019
Preface
With 66 participants from 14 countries, the 3rd Conference on Isogeometric
Analysis and Applications 2018 was a successful continuation of the IGAA
conferenceseriesthatwasstartedin2012inLinz,Austriaandhaditssecondedition
in2014inAnnweileramTrifels,Germany.IGAA2018hasbroughttogethersenior
experts from academia and industry as well as young scientists standing at the
beginningoftheircareertodiscussthecurrentstateoftheartinIGAanditspotential
forcommercialapplicationinindustry.Thisbookcontainsaselectionof12papers
addressing various aspects of IGA ranging from the mathematical analysis of
approximation properties over thegeneration of analysis-suitable parametrizations
and the efficient solution of linear systems of equations, to its use in practical
applications.
A conference like IGAA cannot be organized without external support. The
organizerswouldliketothankthe4TUAppliedMathematicsInstitute(4TU.AMI),
theTUDelftInstituteforComputationalScienceandEngineering(DCSE),theJ.M.
Burgerscentrum, and the NWO Cluster Nonlinear Dynamics of Natural Systems
(NDNS+) for generous financial support. Financial support from the European
Commission through project MOTOR (GA no. 678727) is also greatly acknowl-
edged.WefinallywouldliketoexpressourgratitudetoMrs.DeborahDongorand
hercolleaguesfortakingcareofthelocalorganizationofthisevent.
Eindhoven,TheNetherlands HaraldvanBrummelen
Linz,Austria BertJüttler
Delft,TheNetherlands MatthiasMöller
Kaiserslautern,Germany BerndSimeon
Eindhoven,TheNetherlands ClemensVerhoosel
Delft,TheNetherlands CornelisVuik
January2020
ix
Contents
GeneratingStar-ShapedBlocksforScaledBoundaryMultipatchIGA ... 1
BenjaminBauer,ClarissaArioli,andBerndSimeon
Approximation Power of C1-Smooth Isogeometric Splines on
VolumetricTwo-PatchDomains................................................ 27
KatharinaBirner,BertJüttler,andAngelosMantzaflaris
A Novel Approach to Fluid-Structure Interaction Simulations
InvolvingLargeTranslationandContact..................................... 39
DanielHilger,NorbertHosters,FabianKey,StefanieElgeti,
andMarekBehr
AnIGAFrameworkforPDE-BasedPlanarParameterizationon
ConvexMultipatchDomains.................................................... 57
JochenHinz,MatthiasMöller,andCornelisVuik
PreconditioningforLinearSystemsArisingfromIgADiscretized
IncompressibleNavier–StokesEquations ..................................... 77
HanaHorníkováandCornelisVuik
Solving2DHeatTransferProblemswiththeAid
ofaBEM-IsogeometricSolver.................................................. 99
KonstantinosKostas,YeralyKalel,andAzatAmiralin
IsogeometricMethodsforFreeBoundaryProblems......................... 131
M.Montardini,F.Remonato,andG.Sangalli
ApproximatelyC1-SmoothIsogeometricFunctionsonTwo-Patch
Domains........................................................................... 157
AgnesSeilerandBertJüttler
PropertiesofSplineSpacesOverStructuredHierarchicalBox
Partitions.......................................................................... 177
IvarStangebyandTorDokken
xi
