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Adaptive multiresolution approach for two-dimensional PDE's

2003Journal article Open access
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dc.contributor.authorSantos, J. C.pt
dc.contributor.authorCruz, P.pt
dc.contributor.authorAlves, M. A.
dc.contributor.authorOliveira, Paulo J.
dc.contributor.authorMagalhães, F.D.
dc.contributor.authorMendes, Adélio
dc.date.accessioned2010-04-28T10:07:14Z
dc.date.available2010-04-28T10:07:14Z
dc.date.issued2003
dc.description.abstractA multiresolution adaptive approach for the solution of two-dimensional partial differential equations (PDEs) is presented. This methodology is a multidimensional extension of that presented in a previous work [Comput. Methods Appl. Mech. Engrg. 191 (2002) 3909]. The method proposed is unconditionally stable, by incorporating convection differencing schemes with the TVD property, and the grid is dynamically adapted so that higher spatial resolution is automatically allocated to domain regions where strong gradients are observed. The two desired properties of any PDE solver, stability and accuracy, are therefore retained. Numerical results for four test problems are presented which serve to demonstrate the robustness and cost effectiveness of the method.pt
dc.identifier.urihttp://hdl.handle.net/10400.6/593
dc.languageeng
dc.subjectAdaptive gridpt
dc.subjectCUBISTA high-resolution schemept
dc.subjectMultiresolutionpt
dc.subjectHyperbolic equationspt
dc.subjectWaveletpt
dc.titleAdaptive multiresolution approach for two-dimensional PDE'spt
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issueVol. 193, No. 3-5, pp 405-425.pt
oaire.citation.titleComputer Methods in Applied Mechanics and Engineeringpt
person.familyNameAlves
person.familyNameOliveira
person.familyNameMagalhães
person.familyNameMAGALHÃES MENDES
person.givenNameManuel
person.givenNamePaulo J.
person.givenNameFernão
person.givenNameADÉLIO MIGUEL
person.identifier.ciencia-id3810-FB97-01DB
person.identifier.ciencia-id7A15-7012-C5DF
person.identifier.ciencia-id2919-C6C6-4222
person.identifier.ciencia-idA415-EE94-902E
person.identifier.orcid0000-0001-6585-6609
person.identifier.orcid0000-0001-9843-7558
person.identifier.orcid0000-0002-4447-4473
person.identifier.orcid0000-0003-2472-3265
person.identifier.ridA-9394-2008
person.identifier.ridA-4638-2009
person.identifier.scopus-author-id26040459500
person.identifier.scopus-author-id24280605700
person.identifier.scopus-author-id7003981527
rcaap.rightsopenAccess
rcaap.typearticlept
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relation.isAuthorOfPublication.latestForDiscoveryb5dc9b3f-6795-405e-80af-9a7bb6c6d5ff

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