Spectral discretizations of the Darcy's equations with non standard boundary conditions

dc.creatorJean-Marie, Bernard
dc.date2018-12-07
dc.date.accessioned2023-08-08T20:19:27Z
dc.date.available2023-08-08T20:19:27Z
dc.identifierhttps://revistas.usfq.edu.ec/index.php/avances/article/view/824
dc.identifier10.18272/aci.v10i1.824
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8068208
dc.descriptionThis paper is devoted to the approximation of anonstandard Darcy problem, which modelizes the flow in porous media, byspectral methods: the pressure is assigned on a part of the boundary.We propose two variational formulations, as well as three spectraldiscretizations. The second discretization improves the approximation of thedivergence-free condition, but the error estimate on the pressure is notoptimal, while the third one leads to optimal error estimate with adivergence-free discrete solution, which is important for someapplications. Next, their numerical analysis is performed in detailand we present some numerical experiments which confirm the interestof the third discretization.en-US
dc.formatapplication/pdf
dc.formattext/html
dc.languageeng
dc.publisherUSFQ PRESS, departamento editorial de la Universidad San Francisco de Quito USFQes-ES
dc.relationhttps://revistas.usfq.edu.ec/index.php/avances/article/view/824/1399
dc.relationhttps://revistas.usfq.edu.ec/index.php/avances/article/view/824/2600
dc.sourceACI Avances en Ciencias e Ingenierías; Vol. 10 No. 1 (2018)en-US
dc.sourceACI Avances en Ciencias e Ingenierías; Vol. 10 Núm. 1 (2018)es-ES
dc.source2528-7788
dc.source1390-5384
dc.source10.18272/aci.v10i1
dc.subjectSpectral methoden-US
dc.subjectDarcy's equationsen-US
dc.subjectnumerical analysisen-US
dc.titleSpectral discretizations of the Darcy's equations with non standard boundary conditionsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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