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dc.contributor.authorRadwan, H.
dc.contributor.authorVignal, P.
dc.contributor.authorCollier, N.
dc.contributor.authorDalcin, L.
dc.contributor.authorSantillana, M.
dc.contributor.authorCalo, Victor
dc.date.accessioned2017-03-24T11:53:45Z
dc.date.available2017-03-24T11:53:45Z
dc.date.created2017-03-23T06:59:53Z
dc.date.issued2012
dc.identifier.citationRadwan, H. and Vignal, P. and Collier, N. and Dalcin, L. and Santillana, M. and Calo, V. 2012. Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials. Journal of the Serbian Society for Computational Mechanics. 6 (1): pp. 160-168.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/51503
dc.description.abstract

In this paper, we describe the diffusive shallow water equation (DSW) and discuss a numerical strategy to solve it using the generalized-?? method as a method for temporal discretization. This method provides a good norm estimate of the error and guarantees an optimal convergence rate for the spatial discretization. We also discuss the effect of higher polynomial orders on the convergence rates, focusing on the nonlinear DSW problem. Our numerical experiments show that optional convergence rates can be obtained for polynomial orders 1 through 4.

dc.titleConvergence rates for diffusive shallow water equations (DSW) using higher order polynomials
dc.typeJournal Article
dcterms.source.volume6
dcterms.source.number1
dcterms.source.startPage160
dcterms.source.endPage168
dcterms.source.issn1820-6530
dcterms.source.titleJournal of the Serbian Society for Computational Mechanics
curtin.departmentDepartment of Applied Geology
curtin.accessStatusFulltext not available


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