On round-off error for adaptive finite element methods
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 |