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dc.contributor.author
Radwan, H.
dc.contributor.author
Vignal, P.
dc.contributor.author
Collier, N.
dc.contributor.author
Dalcin, Lisandro Daniel
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dc.contributor.author
Santillana, M.
dc.contributor.author
Calo, V.
dc.date.available
2019-05-15T18:38:54Z
dc.date.issued
2012-03
dc.identifier.citation
Radwan, H.; Vignal, P.; Collier, N.; Dalcin, Lisandro Daniel; Santillana, M.; et al.; Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials; Serbian Society for Computational Mechanics; Journal of the Serbian Society for Computational Mechanics; 6; 1; 3-2012; 160-168
dc.identifier.issn
1820-6530
dc.identifier.uri
http://hdl.handle.net/11336/76418
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-alpha 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.format
application/pdf
dc.language.iso
eng
dc.publisher
Serbian Society for Computational Mechanics
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Shallow Water
dc.subject
Barenblatt Solutions
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Convergence Rates
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Dsw
dc.title
Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-05-14T17:39:14Z
dc.journal.volume
6
dc.journal.number
1
dc.journal.pagination
160-168
dc.journal.pais
Serbia
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dc.journal.ciudad
Belgrado
dc.description.fil
Fil: Radwan, H.. King Abdullah University of Science and Technology; Arabia Saudita
dc.description.fil
Fil: Vignal, P.. King Abdullah University of Science and Technology, Thuwal; Arabia Saudita
dc.description.fil
Fil: Collier, N.. King Abdullah University of Science and Technology, Thuwal; Arabia Saudita
dc.description.fil
Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
dc.description.fil
Fil: Santillana, M.. Harvard University; Estados Unidos
dc.description.fil
Fil: Calo, V.. King Adbullah university of Science and Technology; Arabia Saudita
dc.journal.title
Journal of the Serbian Society for Computational Mechanics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sscm.kg.ac.rs/jsscm/downloads/Vol6No1/Vol6No1_11.pdf
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