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An example of high order Residual Distribution scheme using non Lagrange elements

hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorABGRALL, Remi
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorTREFILICK, Jirka
dc.date.accessioned2024-04-15T09:51:19Z
dc.date.available2024-04-15T09:51:19Z
dc.date.created2009
dc.date.issued2009
dc.identifier.issn0885-7474
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/198421
dc.description.abstractEnWe are interested in the numerical approximation of non linear hyperbolic problems. The particular class of schemes we are interested in are the so--called Residual Distribution schemes. In their current form, they rely on the Lagrange interpolation of the point values of the approximated functions. This interpretation of the degrees of freedom as point values plays a fundamental role in the derivation of the schemes. The purpose of the present paper is to show that some non Lagrange elements can also do the job, and maybe better. This opens the door to isogeometric analysis in the framework of RDS schemes.
dc.language.isoen
dc.publisherSpringer Verlag
dc.title.enAn example of high order Residual Distribution scheme using non Lagrange elements
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Scientific Computing
bordeaux.page3-25
bordeaux.volume45
bordeaux.hal.laboratoriesLaboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800*
bordeaux.issue1-3
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierinria-00403691
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//inria-00403691v1
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