Table Of ContentNumerical Mathematics and Advanced
Applications 2011
Andrea Cangiani Ruslan L. Davidchack
(cid:2)
Emmanuil Georgoulis Alexander N. Gorban
(cid:2)
Jeremy Levesley Michael V. Tretyakov
(cid:2)
Editors
Numerical Mathematics
and Advanced
Applications 2011
Proceedings of ENUMATH 2011,
the 9th European Conference on Numerical
Mathematics and Advanced Applications,
Leicester, September 2011
123
Editors
AndreaCangiani MichaelV.Tretyakov
RuslanL.Davidchack SchoolofMathematicalSciences
EmmanuilGeorgoulis UniversityofNottingham
AlexanderN.Gorban Nottingham
JeremyLevesley UnitedKingdom
DepartmentofMathematics
UniversityofLeicester
Leicester
UnitedKingdom
ISBN978-3-642-33133-6 ISBN978-3-642-33134-3(eBook)
DOI10.1007/978-3-642-33134-3
SpringerHeidelbergNewYorkDordrechtLondon
LibraryofCongressControlNumber:2012955743
Math.Subj.Class.(2010):65-06,65M60,65M15,65M06,35Q35,35K57,35Q60
(cid:2)c Springer-VerlagBerlinHeidelberg2013
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Preface
TheEuropeanConferenceonNumericalMathematicsandAdvancedApplications
(ENUMATH)isanestablishedseriesofconferencesheldevery2yearstoprovide
aforumfordiscussiononrecentaspectsofnumericalmathematicsandchallenging
scientific and industrialapplicationsat the highestlevelof internationalexpertise.
The ENUMATH conferences previously took place in Paris (1995), Heidelberg
(1997), Jyvaskyla (1999), Ischia (2001), Prague (2003), Santiago de Compostela
(2005), Graz (2007), Uppsala (2009). This volume contains a selection of papers
presentedatENUMATH2011,organisedbytheDepartmentofMathematics,Uni-
versityofLeicester,UK,andheldatLeicester’sMainCampusbetweenSeptember
5–9,2011.
The 2011 edition of ENUMATH attracted about 300 participants from around
theworld,includingteninvitedtalksby:
• J.-F. Gerbeau (Inria-Rocquenc., France), on “Direct and inverse modeling in
hemodynamics”;
• V.Girault(Paris,France),“OnthecouplingofStokesorNavier-StokesandDarcy
flowsthroughporousmedia”;
• I. Graham (Bath, UK), on the “Solution of elliptic PDEs with high contrast
heterogeneouscoefficients”;
• T.Lelievre(Cermics/U.Paris6,France),on“Samplingtechniquesinmolecular
dynamics”;
• V. Simoncini (Bologna, Italy), on “Iterative solvers for saddle point algebraic
linearsystems:toolsofthetrade”;
• C.-W. Shu (Brown, USA), on “Maximum-principle-satisfying and positivity-
preservinghighorderdiscontinuousGalerkinandfinitevolumeschemes”;
• A.Stuart(Warwick,UK),on“FilteringtheNavier-StokesEquation”;
• S. Turek (Dortmund, Germany), on “Hardware-orientedNumerics (for PDE) -
Motivation,Concepts,Software”;
• K. Urban (Ulm, Germany), on “Reduced Basis Methods for Optimization in
IndustrialChallenges”,and
• R.Winther(Oslo,Norway),on“Boundedcochainprojections,whyandhow”,
v
vi Preface
28minisymposiaonvariousaspectsofnumericalandappliedmathematics,alarge
number of contributed talks and a public lecture by Prof. Nicholas J. Higham,
FRS (Manchester, UK), on “Numerical Linear Algebra in the UK: from Cayley
to Exascale Computing.” The conference made a contribution to development of
numericalmathematicsinternationallyand,inparticular,intheUK.
We hopethatthisENUMATH2011ProceedingsVolume willappealto a wide
range of readers, giving an overview and recent developments in computational
mathematics,theirapplicationsandsomerelatedfields.Atotalof87contributions
appearin theproceedingsofENUMATH2011,fromawiderangeoftopics:from
theoryandanalysisofnumericalmethods,applicationsinbiology,finance,physics
and engineering, to high performance algorithms for scientific computing. The
volumeisorganisedin11parts,namely:
I APosterioriErrorEstimationandAdaptiveMethods;
II ComputationalElectromagnetics;
III ComputationalMethods;
IV Convection-diffusion,Conservationlaws,andHyperbolicSystems;
V DiscontinuousGalerkinMethods;
VI FiniteElementandFiniteVolumetechniques;
VII FluidMechanics;
VIII HighPerformanceComputing;
IX MultiscaleModelingandSimulations;
X PreconditionersandSolvers;
XI Uncertainty,StochasticModelling,andApplications.
A number of contributions could be attributed to more than one part in terms of
their content. In these cases the criterion of the coherenceof the proceedingswas
alsotakenintoconsideration.
Wewouldliketothankallthecontributorsforsubmittingtheirworkforinclusion
in the Proceedings Volume and for their timely response during the reviewing
process.WeexpressoursinceregratitudetoalltheparticipantsofENUMATH2011
for their attendance, valuable scientific contributions, and stimulating discussions
during the conference. We particularly extend our thanks to the minisymposia
organiserswhodidanexcellentjobinputtingthemtogethercoherentlyandwithin
thegiventimerestrictions,andtothechairsofthecontributedsessionsforagreeing
toserveassuch.Abigshareofthesuccessofthisconferenceserieshasbeendueto
themembersoftheProgrammeCommittee:F.Brezzi,M.Feistauer,R.Glowinski,
R.Jeltsch,Y.Kuznetsov,J.Periaux,andR.Rannacher.Wewouldalsoliketothank
the Scientific Committee of ENUMATH 2011 for agreeing to give valuable input
intothisProceedingsVolumeandfortheirgeneralsupportoftheconference.
Specialgratitudegoestooursponsors:theInstituteofMathematicsanditsAppli-
cations,DataVisibility,AssociatedArchitects,OxfordUniversityPress,Numerical
AlgorithmsGroup(NAG),theDepartmentofMathematicsatLeicester,andLeices-
ter ConferencesforsupportingENUMATH2011in a numberof ways. We would
alsoliketothankSpringer-Verlagfortheirsupportandpatiencewhilepreparingthis
volume.
Preface vii
Thisconferencewouldnothavebeenmadepossiblewithoutthetirelessefforts
of the staff and the PhD students of the Department of Mathematics at Leicester,
to whom a big thanks is due. Very special thanks goes to our Administrator Tara
Chakrabortifortakingexcellentcareofthebulkoforganisationoftheconference,
andtoDanCarterfordoingagreatjobatkeepingeverythingrunningsmoothly.
We believe that Leicester ENUMATH 2011 was a very interesting and worth-
whileexperience,andwehopethattheparticipantshadagoodandfruitfultimein
Leicester.
Leicester,UK
TheLocalOrganisingCommittee:
AndreaCangiani
RuslanDavidchack
ManolisGeorgoulis
AlexanderGorban
JeremyLevesley
MichaelTretyakov
Contents
PartI APosterioriErrorEstimationandAdaptiveMethods
AnAdaptiveMFDMethodfortheObstacleProblem ....................... 3
P.F.Antonietti,L.Beira˜odaVeiga,andM.Verani
Reconstruction-BasedaPosterioriErrorEstimatorsforthe
TransportEquation.............................................................. 13
R.Becker,D.Capatina,andR.Luce
APosterioriErrorEstimationbyaQ =Q HierarchicalBasis............. 23
1 2
M.BraackandN.Taschenberger
AdaptiveFiniteElementswithAnisotropicMeshes.......................... 33
W.Huang,L.Kamenski,andJ.Lang
AnisotropicRecovery-BasedaPosterioriErrorEstimatorsfor
Advection-Diffusion-ReactionProblems ...................................... 43
S.MichelettiandS.Perotto
OnComputableBoundsofModelingErrors ................................. 53
S.RepinandT.Samrowski
AnisotropicFiniteElementsforFluid-StructureInteractions.............. 63
T.Richter
AdaptiveFiniteElementsforSemilinearReaction-Diffusion
SystemsonGrowingDomains.................................................. 71
C.Venkataraman,O.Lakkis,andA.Madzvamuse
PartII ComputationalElectromagnetics
Moment-BasedBoundaryConditionsforLatticeBoltzmann
Magnetohydrodynamics......................................................... 83
P.J.Dellar
ix
