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VGU RESEARCH REPOSITORY


Please use this identifier to cite or link to this item: https://epub.vgu.edu.vn/handle/dlibvgu/71
DC FieldValueLanguage
dc.contributor.authorGung-Min Gieaen_US
dc.contributor.authorChang-Yeol Jungen_US
dc.contributor.authorNguyen Thien Binhen_US
dc.date.accessioned2020-03-12T16:54:23Z-
dc.date.available2020-03-12T16:54:23Z-
dc.date.issued2019-
dc.identifier.citationhttps://www.sciencedirect.com/science/article/abs/pii/S0378475419301041en_US
dc.identifier.urihttp://epub.vgu.edu.vn/handle/dlibvgu/71-
dc.description.abstractFollowing the approach in Gie and Temam(2010) and Gie and Temam(2015), we construct the Finite Volume (FV) approximations of a class of elliptic equations and perform numerical computations where a 2D domain is discretized by convex quadrilateral meshes. The FV method with Taylor Series Expansion Scheme (TSES), which is properly adjusted from a version widely used in engineering, is tested in a box, annulus, and in a domain which includes a topography at the bottom boundary. By comparing with other related convergent FV schemes in Sheng and Yuan(2008), Aavatsmark(2002), Hermeline(2000) and Faureet al. (2016), we numerically verify that our FV method is a convergent 2nd order scheme that manages well the complex geometry. The advantage of our scheme is on its simple structure which do not require any special reconstruction of dual type mesh for computing the nodal approximations or discrete gradients.en_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofMathematics and Computers in Simulationen_US
dc.relation.ispartofseriesVol. 165;119-138-
dc.subjectFinite volume methoden_US
dc.subjectTaylor series expansion scheme (TSES)en_US
dc.subjectConvergence and stabilityen_US
dc.subjectConvex quadrilateral meshesen_US
dc.titleValidation of a 2D cell-centered Finite Volume method for elliptic equationsen_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.matcom.2019.03.008-
dc.relation.journaltypeISI(SCIE) Q1en_US
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.languageiso639-1other-
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