dc.contributor.author Alvarez-Aramberri, J. dc.contributor.author Pardo, D. dc.contributor.author Paszynski, M. dc.contributor.author Collier, N. dc.contributor.author Dalcin, L. dc.contributor.author Calo, Victor dc.date.accessioned 2017-03-24T11:53:07Z dc.date.available 2017-03-24T11:53:07Z dc.date.created 2017-03-23T06:59:54Z dc.date.issued 2012 dc.identifier.citation Alvarez-Aramberri, J. and Pardo, D. and Paszynski, M. and Collier, N. and Dalcin, L. and Calo, V. 2012. On round-off error for adaptive finite element methods. Procedia Computer Science. 9: pp. 1474-1483. dc.identifier.uri http://hdl.handle.net/20.500.11937/51392 dc.identifier.doi 10.1016/j.procs.2012.04.162 dc.description.abstract Round-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. © 2012 Published by Elsevier Ltd. dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/ dc.title On round-off error for adaptive finite element methods dc.type Conference Paper dcterms.source.volume 9 dcterms.source.startPage 1474 dcterms.source.endPage 1483 dcterms.source.issn 1877-0509 dcterms.source.title Procedia Computer Science dcterms.source.series Procedia Computer Science curtin.note Paper presented at International Conference on Computational Science, ICCS 2012 curtin.department Department of Applied Geology curtin.accessStatus Open access
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