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dc.contributor.authorNiemi, A.
dc.contributor.authorCollier, N.
dc.contributor.authorCalo, Victor
dc.date.accessioned2017-03-24T11:53:21Z
dc.date.available2017-03-24T11:53:21Z
dc.date.created2017-03-23T06:59:54Z
dc.date.issued2013
dc.identifier.citationNiemi, A. and Collier, N. and Calo, V. 2013. Automatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: Quasi-optimal test space norm. Computers and Mathematics with Applications. 66 (10): pp. 2096-2113.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/51474
dc.identifier.doi10.1016/j.camwa.2013.07.016
dc.description.abstract

We 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.publisherPergamon Press
dc.titleAutomatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: Quasi-optimal test space norm
dc.typeJournal Article
dcterms.source.volume66
dcterms.source.number10
dcterms.source.startPage2096
dcterms.source.endPage2113
dcterms.source.issn0898-1221
dcterms.source.titleComputers and Mathematics with Applications
curtin.departmentDepartment of Applied Geology
curtin.accessStatusFulltext not available


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