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dc.contributor.authorDas, Pratibhamoy-
dc.contributor.authorMehrmann, Volker-
dc.date.accessioned2016-01-12T15:11:12Z-
dc.date.available2016-01-12T15:11:12Z-
dc.date.issued2015-
dc.identifier.issn0006-3835-
dc.identifier.urihttp://depositonce.tu-berlin.de/handle/11303/5238-
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-4932-
dc.descriptionPreprint version, the final publication is available at Springer via http://dx.doi.org/10.1007/s10543-015-0559-8en
dc.description.abstractThis paper discusses the numerical solution of 1-D convection-diffusion-reaction problems that are singularly perturbed with two small parameters using a new mesh-adaptive upwind scheme that adapts to the boundary layers. The meshes are generated by the equidistribution of a special positive monitor function. Uniform, parameter independent convergence is shown and holds even in the limit that the small parameters are zero. Numerical experiments are presented that illustrate the theoretical findings, and show that the new approach has better accuracy compared with current methods.en
dc.description.sponsorshipDFG, SFB 1029, Substantial efficiency increase in gas turbines through direct use of coupled unsteady combustion and flow dynamicsen
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc518 Numerische Analysisde
dc.subject.otherparabolic partial differential equationen
dc.subject.otherconvection-diffusion-reaction problemen
dc.subject.otheradaptive meshen
dc.subject.othermoving mesh methoden
dc.subject.othermesh equidistributionen
dc.subject.othersingularly perturbed problemen
dc.subject.otherupwind schemeen
dc.subject.otheruniform convergenceen
dc.titleNumerical solution of singularly perturbed convection-diffusion-reaction problems with two small parametersen
dc.typeArticleen
tub.accessrights.dnbdomainen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
dc.identifier.eissn1572-9125-
dc.type.versionsubmittedVersionen
dcterms.bibliographicCitation.doi10.1007/s10543-015-0559-8en
dcterms.bibliographicCitation.journaltitleBIT Numerical Mathematicsen
dcterms.bibliographicCitation.originalpublisherplaceDordrecht [u.a.]en
dcterms.bibliographicCitation.originalpublishernameSpringeren
tub.affiliationVerbundforschung » Sonderforschungsbereiche (SFB) » SFB 1029 - TurbInde
Appears in Collections:Technische Universität Berlin » Publications

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