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dc.contributor.authorAlvarez-Aramberri, J.
dc.contributor.authorPardo, D.
dc.contributor.authorPaszynski, M.
dc.contributor.authorCollier, N.
dc.contributor.authorDalcin, L.
dc.contributor.authorCalo, Victor
dc.identifier.citationAlvarez-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.

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.titleOn round-off error for adaptive finite element methods
dc.typeConference Paper
dcterms.source.titleProcedia Computer Science
dcterms.source.seriesProcedia Computer Science

Paper presented at International Conference on Computational Science, ICCS 2012

curtin.departmentDepartment of Applied Geology
curtin.accessStatusOpen access

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