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dc.contributor.authorNiemi, Antti H.
dc.contributor.authorCollier, Nathan
dc.contributor.authorCalo, Victor M.
dc.date.accessioned2015-08-04T07:17:11Z
dc.date.available2015-08-04T07:17:11Z
dc.date.issued2013-12
dc.identifier.issn08981221
dc.identifier.doi10.1016/j.camwa.2013.07.016
dc.identifier.urihttp://hdl.handle.net/10754/564820
dc.description.abstractWe investigate the application of the discontinuous Petrov-Galerkin (DPG) finite element framework to stationary convection-diffusion problems. In particular, we demonstrate how the quasi-optimal test space norm improves the robustness of the DPG method with respect to vanishing diffusion. We numerically compare coarse-mesh accuracy of the approximation when using the quasi-optimal norm, the standard norm, and the weighted norm. Our results show that the quasi-optimal norm leads to more accurate results on three benchmark problems in two spatial dimensions. We address the problems associated to the resolution of the optimal test functions with respect to the quasi-optimal norm by studying their convergence numerically. In order to facilitate understanding of the method, we also include a detailed explanation of the methodology from the algorithmic point of view. © 2013 Elsevier Ltd. All rights reserved.
dc.publisherElsevier BV
dc.relation.urlhttp://arxiv.org/abs/arXiv:1201.1847v1
dc.subjectAutomatic stabilization technique
dc.subjectConvection-dominated diffusion
dc.subjectDiscontinuous Petrov-Galerkin
dc.subjectFinite element method
dc.subjectNumerical stability
dc.subjectRobustness
dc.titleAutomatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: Quasi-optimal test space norm
dc.typeConference Paper
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Division
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.identifier.journalComputers & Mathematics with Applications
dc.conference.nameICNC-FSKD 2012
dc.contributor.institutionAalto University, School of Engineering, Department of Civil and Structural Engineering, Espoo, Finland
dc.identifier.arxividarXiv:1201.1847
kaust.personCollier, Nathan
kaust.personCalo, Victor M.


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