Show simple item record

dc.contributor.authorNiemi, A.
dc.contributor.authorCollier, N.
dc.contributor.authorCalo, Victor
dc.date.accessioned2017-03-24T11:53:17Z
dc.date.available2017-03-24T11:53:17Z
dc.date.created2017-03-23T06:59:53Z
dc.date.issued2013
dc.date.submitted2017-03-23
dc.identifier.citationNiemi, A. and Collier, N. and Calo, V. 2013. Discontinuous Petrov-Galerkin method based on the optimal test space norm for steady transport problems in one space dimension. Journal of Computational Science. 4 (3): pp. 157-163.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/51450
dc.identifier.doi10.1016/j.jocs.2011.07.003
dc.description.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 optimal test space norm. This makes the DPG method not only stable but also robust, that is, uniformly stable with respect to the Péclet number in the current application. We employ discontinuous piecewise Bernstein polynomials as trial functions and construct a subgrid discretization that accounts for the singular perturbation character of the problem to resolve the corresponding optimal test functions. We also show that a smooth B-spline basis has certain computational advantages in the subgrid discretization. The overall effectiveness of the algorithm is demonstrated on two problems for the linear advection-diffusion equation. © 2011 Elsevier B.V.

dc.publisherElsevier Ltd
dc.titleDiscontinuous Petrov-Galerkin method based on the optimal test space norm for steady transport problems in one space dimension
dc.typeJournal Article
dcterms.dateSubmitted2017-03-23
dcterms.source.volume4
dcterms.source.number3
dcterms.source.startPage157
dcterms.source.endPage163
dcterms.source.issn1877-7503
dcterms.source.titleJournal of Computational Science
curtin.digitool.pid250738
curtin.pubStatusPublished
curtin.refereedTRUE
curtin.departmentDepartment of Applied Geology
curtin.identifier.scriptidPUB-VC-ORD-SA-42870
curtin.identifier.elementsidELEMENTS-193491
curtin.accessStatusFulltext not available


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record