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https://hdl.handle.net/1822/26041
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Campo DC | Valor | Idioma |
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dc.contributor.author | Clain, Stéphane | - |
dc.date.accessioned | 2013-11-11T15:17:45Z | - |
dc.date.available | 2013-11-11T15:17:45Z | - |
dc.date.issued | 2013-10-01 | - |
dc.date.submitted | 2013-10-01 | - |
dc.identifier.issn | 1095-7170 | por |
dc.identifier.uri | https://hdl.handle.net/1822/26041 | - |
dc.description.abstract | We present a new formalism to characterize high-order reconstruction algorithms used in finite volume methods. This formalism provides new tools to examine the properties of these methods. Included in this formalism is the notion of admissible reconstruction methods providing concrete statements regarding the satisfaction of the maximum principle and positivity preservation properties. We demonstrate that the traditional reconstruction limiting algorithms can be recast in our formalism, thus providing new proofs of the maximum principle. | por |
dc.description.sponsorship | ∗Received by the editors November 7, 2011; accepted for publication (in revised form) October 12, 2012; published electronically February 19, 2013. This research was supported by FEDER Funds through Programa Operacional Factores de Competitividade COMPETE and by Portuguese Funds through FCT Funda ̧ ̃o ca para a Ciˆncia e e a Tecnologia, within the Project PEst-C/MAT/UI0013/2011 and the project PTDC/MAT/121185/2010. http://www.siam.org/journals/sinum/51-1/85427.html †Departamento de Mat ́matica e e Aplica ̧oes, c ̃ Centro de Matem ́tica, a Campus de Gualtar, Uni- versidade do Minho, 4710-057 Braga, Portugal, and Institut de Math ́ e matiques de Toulouse, UMR CNRS 5219, 31062 Toulouse cedex, France (clain@math.uminho.pt). | por |
dc.language.iso | eng | por |
dc.publisher | Society for Industrial and Applied Mathematics | por |
dc.rights | restrictedAccess | por |
dc.subject | Finite volume scheme | por |
dc.subject | Maximum principle | por |
dc.subject | High-order reconstruction | por |
dc.subject | Positivity preserving | por |
dc.title | Finite volume maximum principle for hyperbolic scalar problems | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://epubs.siam.org/journal/sjnaam | por |
sdum.publicationstatus | published | por |
oaire.citationStartPage | 467 | por |
oaire.citationEndPage | 490 | por |
oaire.citationIssue | 1 | por |
oaire.citationTitle | SIAM J. NUMER. ANAL. | por |
oaire.citationVolume | 51 | por |
dc.identifier.doi | 10.1137/110854278 | - |
dc.subject.wos | Science & Technology | por |
sdum.journal | SIAM Journal on Numerical Analysis | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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SIAM.pdf Acesso restrito! | 477,03 kB | Adobe PDF | Ver/Abrir |