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Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-29622
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dc.contributor.authorSamrowski, Tatiana-
dc.date.accessioned2024-01-19T08:12:36Z-
dc.date.available2024-01-19T08:12:36Z-
dc.date.issued2014-
dc.identifier.issn1609-4840de_CH
dc.identifier.issn1609-9389de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/29622-
dc.descriptionErworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch) ​de_CH
dc.description.abstractWe consider the stationary reaction-diffusion problem in a domain Ω⊂ℝ3 having the size along one coordinate direction essentially smaller than along the others. By an energy type argumentation, different simplified models of lower dimension can be deduced and solved numerically. For these models, we derive a guaranteed upper bound of the difference between the exact solution of the original problem and a three-dimensional reconstruction generated by the solution of a dimensionally reduced problem. This estimate of the total error is determined as the sum of discretization and modeling errors, which are both explicit and computable. The corresponding discretization errors are estimated by a posteriori estimates of the functional type. Modeling error majorants are also explicitly evaluated. Hence, a numerical strategy based on the balancing modeling and discretization errors can be derived in order to provide an economical way of getting an approximate solution with an a priori given accuracy. Numerical tests are presented and discussed.de_CH
dc.language.isoende_CH
dc.publisherDe Gruyterde_CH
dc.relation.ispartofComputational Methods in Applied Mathematicsde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectModeling errorde_CH
dc.subjectDimension reductionde_CH
dc.subjectThin domainde_CH
dc.subjectA posteriori error estimatede_CH
dc.subject.ddc510: Mathematikde_CH
dc.titleCombined error estimates in the case of dimension reductionde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitut für Angewandte Mathematik und Physik (IAMP)de_CH
dc.identifier.doi10.1515/cmam-2013-0024de_CH
dc.identifier.doi10.21256/zhaw-29622-
zhaw.funding.euNode_CH
zhaw.issue1de_CH
zhaw.originated.zhawYesde_CH
zhaw.pages.end134de_CH
zhaw.pages.start113de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume14de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
zhaw.author.additionalNode_CH
zhaw.display.portraitYesde_CH
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Samrowski, T. (2014). Combined error estimates in the case of dimension reduction. Computational Methods in Applied Mathematics, 14(1), 113–134. https://doi.org/10.1515/cmam-2013-0024
Samrowski, T. (2014) ‘Combined error estimates in the case of dimension reduction’, Computational Methods in Applied Mathematics, 14(1), pp. 113–134. Available at: https://doi.org/10.1515/cmam-2013-0024.
T. Samrowski, “Combined error estimates in the case of dimension reduction,” Computational Methods in Applied Mathematics, vol. 14, no. 1, pp. 113–134, 2014, doi: 10.1515/cmam-2013-0024.
SAMROWSKI, Tatiana, 2014. Combined error estimates in the case of dimension reduction. Computational Methods in Applied Mathematics. 2014. Bd. 14, Nr. 1, S. 113–134. DOI 10.1515/cmam-2013-0024
Samrowski, Tatiana. 2014. “Combined Error Estimates in the Case of Dimension Reduction.” Computational Methods in Applied Mathematics 14 (1): 113–34. https://doi.org/10.1515/cmam-2013-0024.
Samrowski, Tatiana. “Combined Error Estimates in the Case of Dimension Reduction.” Computational Methods in Applied Mathematics, vol. 14, no. 1, 2014, pp. 113–34, https://doi.org/10.1515/cmam-2013-0024.


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