Barycentric interpolation and exact integration formulas for the finite volume element method

dc.contributor.authorVoitovich, T.V.
dc.contributor.authorVandewalle, S.
dc.date2008
dc.date.accessioned2012-02-24T03:18:40Z
dc.date.available2012-02-24T03:18:40Z
dc.date.issued2012-02-24
dc.description.abstractThis contribution concerns with the construction of a simple and effective technology for the problem of exact integration of interpolation polynomials arising while discretizing partial differential equations by the finite volume element method on simplicial meshes. It is based on the element-wise representation of the local shape functions through barycentric coordinates (barycentric interpolation) and the introducing of classes of integration formulas for the exact integration of generic monomials of barycentric coordinates over the geometrical shapes defined by a barycentric dual mesh. Numerical examples are presented that illustrate the validity of the technologyes
dc.formatPDFes
dc.identifier.citationAIP Conference Proceedings, Vol. 1048, 575-579, 2008es
dc.identifier.doi10.1063/1.2990990es
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/682
dc.language.isoenes
dc.sourceAIP Conference Proceedingses
dc.subjectCoordenadas baricéntricases
dc.titleBarycentric interpolation and exact integration formulas for the finite volume element methodes
dc.typeArtículo de Revistaes
uct.carreraPlan Común Ingenieríaes
uct.catalogadorjmges
uct.comunidadIngenieríaes
uct.facultadFacultad de Ingenieríaes
uct.indizacionISIes
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