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dc.contributor.authorNiemi, Antti
dc.contributor.authorCollier, Nathan
dc.contributor.authorCalo, Victor M.
dc.date.accessioned2015-05-10T14:34:23Z
dc.date.available2015-05-10T14:34:23Z
dc.date.issued2011-05-14
dc.identifier.citationDiscontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems 2011, 4:1862 Procedia Computer Science
dc.identifier.issn18770509
dc.identifier.doi10.1016/j.procs.2011.04.202
dc.identifier.urihttp://hdl.handle.net/10754/552557
dc.description.abstractWe revisit the finite element analysis of convection dominated flow problems within the recently developed Discontinuous Petrov-Galerkin (DPG) variational framework. We demonstrate how test function spaces that guarantee numerical stability can be computed automatically with respect to the so called optimal test space norm by using an element subgrid discretization. This should make the DPG method not only stable but also robust, that is, uniformly stable with respect to the Ṕeclet number in the current application. The e_ectiveness of the algorithm is demonstrated on two problems for the linear advection-di_usion equation.
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S1877050911002602
dc.rightsArchived with thanks to Procedia Computer Science. http://creativecommons.org/licenses/by-nc-nd/3.0/
dc.subjectconvection-di_usion
dc.subjectdiscontinuous Petrov-Galerkin
dc.subjectfinite element method
dc.titleDiscontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems
dc.typeConference Paper
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.identifier.journalProcedia Computer Science
dc.conference.date2011-06-01 to 2011-06-03
dc.conference.name11th International Conference on Computational Science, ICCS 2011
dc.conference.locationSingapore, SGP
dc.eprint.versionPublisher's Version/PDF
kaust.personNiemi, Antti
kaust.personCollier, Nathan
kaust.personCalo, Victor M.
refterms.dateFOA2018-06-13T14:07:36Z


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