Numerical Mathematics and Advanced Applications - ENUMATH 2013: Proceedings of ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013

759 Pages·2015·19.73 MB·English

by  Assyr Abdulle

103
Assyr Abdulle · Simone Deparis
Daniel Kressner · Fabio Nobile
Marco Picasso Editors
Numerical Mathematics
and Advanced Applications
ENUMATH 2013
Editorial Board
T. J.Barth
M.Griebel
D.E.Keyes
R.M.Nieminen
D.Roose
T.Schlick
Lecture Notes
in Computational Science 103
and Engineering
Editors:
TimothyJ.Barth
MichaelGriebel
DavidE.Keyes
RistoM.Nieminen
DirkRoose
TamarSchlick
Moreinformationaboutthisseriesat
http://www.springer.com/series/3527
Assyr Abdulle • Simone Deparis (cid:129) Daniel Kressner (cid:129)
Fabio Nobile (cid:129) Marco Picasso
Editors
Numerical Mathematics
and Advanced Applications
ENUMATH 2013
Proceedings of ENUMATH 2013,
the 10th European Conference on Numerical
Mathematics and Advanced Applications,
Lausanne, August 2013
123
Editors
AssyrAbdulle
SimoneDeparis
DanielKressner
FabioNobile
MarcoPicasso
EcolePolytechniqueFédéraledeLausanne
Lausanne
Switzerland
ISSN1439-7358 ISSN2197-7100(electronic)
ISBN978-3-319-10704-2 ISBN978-3-319-10705-9(eBook)
DOI10.1007/978-3-319-10705-9
SpringerChamHeidelbergNewYorkDordrechtLondon
LibraryofCongressControlNumber:2014956263
MathematicsSubjectClassification(2010):65XX,74XX,76XX,78XX
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Preface
TheEuropeanConferenceonNumericalMathematicsandAdvancedApplications
(ENUMATH) is a series of conferences held every 2 years to provide a forum
for discussion on recent aspects of numerical mathematics and scientific and
industrial applications. The previous ENUMATH meetings took place in Paris
(1995),Heidelberg(1997),Jyvaskyla(1999),Ischia(2001),Prague(2003),Santiago
deCompostela(2005),Graz(2007),Uppsala(2009),andLeicester(2011).
This book containsa selection of invited and contributedlectures of the ENU-
MATH2013conferenceorganisedbytheMathematicalInstituteofComputational
ScienceandEngineering(MATHICSE),EPFL,andheldinLausanne,Switzerland,
August 26–30, 2013. It gives an overview of recent developments in numerical
analysis, computational mathematics, and applications by leading experts in the
field. The conference attracted around 400 participants from around the world
including11invitedtalksby:
(cid:129) Ruth Elizabeth Baker (University of Oxford, UK), on “Developing multiscale
modelsforexploringbiologicalphenomena”
(cid:129) Eric Cancès (CERMICS, Ecole des Ponts ParisTech, France), on “Electronic
structurecalculation”
(cid:129) Omar Ghattas (ICES, University of Texas at Austin, USA), on “Stochastic
NewtonMCMCmethodsforBayesianinverseproblemswithapplicationtoice
sheetdynamics”
(cid:129) Ernst Hairer (Université de Genève, Switzerland), on “Long-term analysis of
numericalandanalyticaloscillations”
(cid:129) Jan Hesthaven (Brown University, USA), on “High-order reduced basis multi-
scalefiniteelementmethods”
(cid:129) Petr Knobloch(UniverzitaKarlova,CzechRepublic),on“Finiteelementmeth-
odsforconvectiondominatedproblems”
(cid:129) DmitriKuzmin(FriedrichAlexanderUniversitätErlangen-Nürnberg,Germany),
on“Vertex-basedlimitersforcontinuousanddiscontinuousGalerkinmethods”
(cid:129) Ilaria Perugia (Università deglistudi di Pavia, Italy), on “Trefftz-discontinuous
Galerkinmethodsfortime-harmonicwaveproblems”
v
vi Preface
(cid:129) RolfStenberg(AaltoUniversity,Finland),on“Mixedfiniteelementmethodsfor
elasticity”
(cid:129) Martin Vetterli(EPFL, Switzerland),public lectureon “Inverseproblemsregu-
larizedbysparsity”
(cid:129) Barbara Wohlmuth (TU München, Germany), on “Interfaces, corner and point
sources”
There were 24 minisymposia and numerous contributed talks covering a broad
spectrum of numerical mathematics. This ENUMATH 2013 proceeding will be
useful for a wide range of readers giving them a state-of-the-art overview of
advancedtechniques,algorithms,andresultsin numericalmathematicsandscien-
tific computing. Advances on finite element methods, time integrators, multiscale
methods,numericallinearalgebra,anddiscretisationtechniquesforfluidmechanics
andopticsarepresented.Thisbookcontainsaselectionof79papersbytheinvited
speakers and from the minisymposia as well as the contributed sessions. It is
organisedin11partsasfollows:
PartISpaceDiscretisationMethodsforPDEs
PartIITimeIntegrationSchemes
PartIIIAPosterioriErrorEstimationandAdaptiveMethods
PartIVNumericalLinearAlgebra
PartVMultiscaleModelingandSimulation
PartVIReducedOrderModeling
PartVIIIUncertainty,StochasticModeling,andApplications
PartIXSolvers,HighPerformanceComputing,andSoftwareLibraries
PartXComputationalFluidandStructuralMechanics
PartXIComputationalElectromagnetics
We would like to thank all the participants for their valuable contributions and
scientific discussions during the conferenceand to the minisymposiumorganisers
forhelpingtoshapethecorestructureofthemeeting.ThemembersoftheScientific
Committee have helped us tremendously in reviewing the contributions to this
proceedings. This conference would not have been possible without all the work
and guidance provided by the Programme Committee: Franco Brezzi, Miloslav
Feistauer, Roland Glowinski, Gunilla Kreiss, Yuri Kuznetsov, Jacques Periaux,
Alfio Quarteroni, Rolf Rannacher, Endre Süli. We also thank our sponsors for
theirgeneroussupport:theSchoolofBasicSciencesandtheCentreInterfacultaire
Bernoulli from EPFL, the Center for Advanced Modeling Science (CADMOS),
MathWorks and Springer. Last but not least we would like to acknowledge the
tireless effort of Virginie Ledouble leading the administration tasks, Corinne
Craman who coordinated the edition of this proceedings, all the secretaries of
MATHICSEfortheirtremendoushelpinorganisingthisconference,andourPhDs
andPost-Docsthathavehelpedusinmanyways.
Preface vii
We hope that this volume reflects the inspiring talks and lively scientific
exchangesthattookplaceatEPFLduringtheENUMATH2013meeting.
Lausanne,Switzerland AssyrAbdulle
August2014 SimoneDeparis
DanielKressner
FabioNobile
MarcoPicasso
AlfioQuarteroni

Contents
PartI SpaceDiscretisationMethodsforPDEs
WeaklySymmetricMixedFiniteElementsforLinearElasticity........... 3
RolfStenberg
Energy-CorrectedFiniteElementMethods
forScalarEllipticProblems..................................................... 19
ThomasHorger,MarkusHuber,UlrichRüde,ChristianWaluga,
andBarbaraWohlmuth
StabilizedGalerkinforLinearAdvectionofVectorFields.................. 37
HolgerHeumannandRalfHiptmair
FiniteElement-BoundaryElement MethodsforDielectric
RelaxationSpectroscopy ........................................................ 47
StephanC.KramerandGertLube
OntheLocalMeshSizeofNitsche’sMethodforDiscontinuous
MaterialParameters............................................................. 57
MikaJuntunen
RobustLocalFluxReconstructionforVarious
FiniteElementMethods......................................................... 65
RolandBecker,DanielaCapatina,andRobertLuce
Onthe Use ofReconstructionOperatorsinDiscontinuous
GalerkinSchemes................................................................ 75
VáclavKucˇera
Adaptive DiscontinuousGalerkinMethodsfor Nonlinear
Diffusion-Convection-ReactionEquations .................................... 85
BulentKarasözen,MuratUzunca,andMuratManguogˇlu
ix