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dc.contributor.authorVieira, Luan M.
dc.contributor.authorGiacomini, Matteo
dc.contributor.authorSevilla Cárdenas, Rubén
dc.contributor.authorHuerta, Antonio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2020-02-21T11:26:47Z
dc.date.available2022-01-02T01:27:59Z
dc.date.issued2020-01-01
dc.identifier.citationVieira, L. M. [et al.]. A second-order face-centred finite volume method for elliptic problems. "Computer methods in applied mechanics and engineering", 1 Gener 2020, vol. 358, p. 112655:1-112655:23.
dc.identifier.issn0045-7825
dc.identifier.urihttp://hdl.handle.net/2117/178278
dc.description© 2020 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.description.abstractA second-order face-centred finite volume method (FCFV) is proposed. Contrary to the more popular cell-centred and vertex-centred finite volume (FV) techniques, the proposed method defines the solution on the faces of the mesh (edges in two dimensions). The method is based on a mixed formulation and therefore considers the solution and its gradient as independent unknowns. They are computed solving an element-by-element problem after the solution at the faces is determined. The proposed approach avoids the need of reconstructing the solution gradient, as required by cell-centred and vertex-centred FV methods. This strategy leads to a method that is insensitive to mesh distortion and stretching. The current method is second-order and requires the solution of a global system of equations of identical size and identical number of non-zero elements when compared to the recently proposed first-order FCFV. The formulation is presented for Poisson and Stokes problems. Numerical examples are used to illustrate the approximation properties of the method as well as to demonstrate its potential in three dimensional problems with complex geometries. The integration of a mesh adaptive procedure in the FCFV solution algorithm is also presented.
dc.format.extent23 p.
dc.language.isoeng
dc.rights©2020. Elsevier
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rightshttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshDifference equations--Numerical solutions
dc.subject.lcshStrength of materials
dc.subject.otherFinite volume method
dc.subject.otherFace-centred
dc.subject.otherSecond-order convergence
dc.subject.otherHybridisable discontinuous Galerkin
dc.titleA second-order face-centred finite volume method for elliptic problems
dc.typeArticle
dc.subject.lemacEquacions diferencials--solucions numèriques
dc.subject.lemacResistència de materials
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1016/j.cma.2019.112655
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::65 Numerical analysis::65L Ordinary differential equations
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74S Numerical methods
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0045782519305407?via%3Dihub
dc.rights.accessOpen Access
local.identifier.drac26748595
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/675919/EU/Empowered decision-making in simulation-based engineering: Advanced Model Reduction for real-time, inverse and optimization in industrial problems/AdMoRe
dc.relation.projectidinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2017-85139-C2-2-R/ES/ASIMILACION DE DATOS PARA UNA SIMULACION INGENIERIL CREIBLE/
local.citation.authorVieira, L. M.; Giacomini, M.; Sevilla, R.; Huerta, A.
local.citation.publicationNameComputer methods in applied mechanics and engineering
local.citation.startingPage112655:1
local.citation.endingPage112655:23


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