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dc.contributor.authorAlvarez-Aramberri, J.
dc.contributor.authorPardo, David
dc.contributor.authorPaszynski, Maciej
dc.contributor.authorCollier, Nathan
dc.contributor.authorDalcin, Lisandro
dc.contributor.authorCalo, Victor M.
dc.date.accessioned2015-05-07T13:46:38Z
dc.date.available2015-05-07T13:46:38Z
dc.date.issued2012-06-02
dc.identifier.citationOn Round-off Error for Adaptive Finite Element Methods 2012, 9:1474 Procedia Computer Science
dc.identifier.issn18770509
dc.identifier.doi10.1016/j.procs.2012.04.162
dc.identifier.urihttp://hdl.handle.net/10754/552450
dc.description.abstractRound-off error analysis has been historically studied by analyzing the condition number of the associated matrix. By controlling the size of the condition number, it is possible to guarantee a prescribed round-off error tolerance. However, the opposite is not true, since it is possible to have a system of linear equations with an arbitrarily large condition number that still delivers a small round-off error. In this paper, we perform a round-off error analysis in context of 1D and 2D hp-adaptive Finite Element simulations for the case of Poisson equation. We conclude that boundary conditions play a fundamental role on the round-off error analysis, specially for the so-called ‘radical meshes’. Moreover, we illustrate the importance of the right-hand side when analyzing the round-off error, which is independent of the condition number of the matrix.
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S1877050912002839
dc.rightsArchived with thanks to Procedia Computer Science. http://creativecommons.org/licenses/by-nc-nd/3.0/
dc.subjectFinite Element Methods (FEM)
dc.subjecthp-adaptivity
dc.subjectround-off error
dc.subjectcondition number
dc.titleOn Round-off Error for Adaptive Finite Element Methods
dc.typeConference Paper
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Division
dc.identifier.journalProcedia Computer Science
dc.conference.date2012-06-04 to 2012-06-06
dc.conference.name12th Annual International Conference on Computational Science, ICCS 2012
dc.conference.locationOmaha, NB, USA
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionCONICET, Santa Fe, Argentina
dc.contributor.institutionAGH University of Science and Technology, Krakow, Poland
dc.contributor.institutionIkerbasque, Bilbao, Spain
dc.contributor.institutionDepartment of Applied Mathematics, Statistics, and Operational Research, University of the Basque Country UPV/EHU, Bilbao, Spain
kaust.personCollier, Nathan
kaust.personCalo, Victor M.
refterms.dateFOA2018-06-13T14:02:54Z


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