Discontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems

Handle URI:
http://hdl.handle.net/10754/552557
Title:
Discontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems
Authors:
Niemi, Antti H.; Collier, Nathaniel O.; Calo, Victor M. ( 0000-0002-1805-4045 )
Abstract:
We 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.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Applied Mathematics and Computational Science Program
Citation:
Discontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems 2011, 4:1862 Procedia Computer Science
Journal:
Procedia Computer Science
Issue Date:
14-May-2011
DOI:
10.1016/j.procs.2011.04.202
Type:
Article
ISSN:
18770509
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S1877050911002602
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorNiemi, Antti H.en
dc.contributor.authorCollier, Nathaniel O.en
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2015-05-10T14:34:23Zen
dc.date.available2015-05-10T14:34:23Zen
dc.date.issued2011-05-14en
dc.identifier.citationDiscontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems 2011, 4:1862 Procedia Computer Scienceen
dc.identifier.issn18770509en
dc.identifier.doi10.1016/j.procs.2011.04.202en
dc.identifier.urihttp://hdl.handle.net/10754/552557en
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.en
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S1877050911002602en
dc.rightsArchived with thanks to Procedia Computer Science. http://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjectconvection-di_usionen
dc.subjectdiscontinuous Petrov-Galerkinen
dc.subjectfinite element methoden
dc.titleDiscontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problemsen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.identifier.journalProcedia Computer Scienceen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorNiemi, Anttien
kaust.authorCollier, Nathaniel Orenen
kaust.authorCalo, Victor M.en
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