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dc.contributor.authorDeng, Quanling
dc.contributor.authorGinting, V.
dc.date.accessioned2018-02-19T07:58:48Z
dc.date.available2018-02-19T07:58:48Z
dc.date.created2018-02-19T07:13:35Z
dc.date.issued2015
dc.identifier.citationDeng, Q. and Ginting, V. 2015. Construction of locally conservative fluxes for the SUPG method. Numerical Methods for Partial Differential Equations. 31 (6): pp. 1971-1994.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/65546
dc.identifier.doi10.1002/num.21975
dc.description.abstract

© 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 1971-1994, 2015 © 2015 Wiley Periodicals, Inc. We consider the construction of locally conservative fluxes by means of a simple postprocessing technique obtained from the finite element solutions of advection diffusion equations. It is known that a naive calculation of fluxes from these solutions yields nonconservative fluxes. We consider two finite element methods: the usual continuous Galerkin finite element method for solving nondominating advection diffusion equations and the streamline upwind/Petrov-Galerkin method for solving advection dominated problems. We then describe the postprocessing technique for constructing conservative fluxes from the numerical solutions of the general variational formulation. The postprocessing technique requires solving an auxiliary Neumann boundary value problem on each element independently and it produces a locally conservative flux on a vertex centered dual mesh relative to the finite element mesh. We provide a convergence analysis for the postprocessing technique. Performance of the technique and the convergence behavior are demonstrated through numerical examples including a set of test problems for advection diffusion equations, advection dominated equations, and drift-diffusion equations.

dc.publisherWiley Periodicals, Inc.
dc.titleConstruction of locally conservative fluxes for the SUPG method
dc.typeJournal Article
dcterms.source.volume31
dcterms.source.number6
dcterms.source.startPage1971
dcterms.source.endPage1994
dcterms.source.issn0749-159X
dcterms.source.titleNumerical Methods for Partial Differential Equations
curtin.departmentSchool of Earth and Planetary Sciences (EPS)
curtin.accessStatusFulltext not available


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