DC FieldValueLanguage
dc.contributor.authorLe Borne, Sabine-
dc.date.accessioned2020-02-18T11:26:21Z-
dc.date.available2020-02-18T11:26:21Z-
dc.date.issued2016-10-01-
dc.identifier.citationApplied Numerical Mathematics (108): 1-20 (2016-10-01)de_DE
dc.identifier.issn0168-9274de_DE
dc.identifier.urihttp://hdl.handle.net/11420/4955-
dc.description.abstractIn several production processes, the distribution of particles dispersed in an environmental phase may be mathematically described by the solution of population balance equations. We are concerned with the development of efficient numerical techniques for the aggregation process: It invokes an integral term that is usually numerically expensive to evaluate and often dominates the total simulation cost. We describe an approach on locally refined nested grids to evaluate both the source and the sink terms in almost linear complexity (instead of quadratic complexity resulting from a direct approach). The key is to switch from a nodal to a wavelet basis representation of the density function. We illustrate the numerical performance of this approach, both in comparison to a discretization of piecewise constant functions on a uniform grid as well as to the fixed pivot method on a geometric grid.en
dc.language.isoende_DE
dc.relation.ispartofApplied numerical mathematicsde_DE
dc.subjectAggregationde_DE
dc.subjectFast wavelet transformationde_DE
dc.subjectLocally refined nested gridsde_DE
dc.subjectPopulation balance equationde_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleAlgorithms for the Haar wavelet based fast evaluation of aggregation integrals in population balance equationsde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishIn several production processes, the distribution of particles dispersed in an environmental phase may be mathematically described by the solution of population balance equations. We are concerned with the development of efficient numerical techniques for the aggregation process: It invokes an integral term that is usually numerically expensive to evaluate and often dominates the total simulation cost. We describe an approach on locally refined nested grids to evaluate both the source and the sink terms in almost linear complexity (instead of quadratic complexity resulting from a direct approach). The key is to switch from a nodal to a wavelet basis representation of the density function. We illustrate the numerical performance of this approach, both in comparison to a discretization of piecewise constant functions on a uniform grid as well as to the fixed pivot method on a geometric grid.de_DE
tuhh.publisher.doi10.1016/j.apnum.2016.02.009-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.volume108de_DE
tuhh.container.startpage1de_DE
tuhh.container.endpage20de_DE
dc.relation.projectSPP 1679: Dynamische Simulation vernetzter Feststoffprozessede_DE
dc.relation.projectSPP 1679: Teilprojekt "Numerische Lösungsverfahren für gekoppelte Populationsbilanzsysteme zur dynamischen Simulation multivariater Feststoffprozesse am Beispiel der formselektiven Kristallisation"-
dc.identifier.scopus2-s2.0-84969704578-
local.status.inpressfalsede_DE
local.funding.infoDeutsche Forschungsgesellschaftde_DE
datacite.resourceTypeJournal Article-
datacite.resourceTypeGeneralText-
item.languageiso639-1en-
item.creatorGNDLe Borne, Sabine-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.creatorOrcidLe Borne, Sabine-
item.mappedtypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.cerifentitytypePublications-
crisitem.project.funderDeutsche Forschungsgemeinschaft (DFG)-
crisitem.project.funderDeutsche Forschungsgemeinschaft (DFG)-
crisitem.project.funderid501100001659-
crisitem.project.funderid501100001659-
crisitem.project.funderrorid018mejw64-
crisitem.project.funderrorid018mejw64-
crisitem.project.grantnoHE 4526/16-2-
crisitem.project.grantnoBO 4141/1-2-
crisitem.author.deptMathematik E-10-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0002-4399-4442-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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