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A FIC-based stabilized mixed finite element method with equal order interpolation for solid–pore fluid interaction problems
dc.contributor.author | Pouplana Sarda, Ignasi de |
dc.contributor.author | Oñate Ibáñez de Navarra, Eugenio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2017-01-17T15:57:09Z |
dc.date.available | 2018-02-01T01:30:32Z |
dc.date.issued | 2017-01 |
dc.identifier.citation | De Pouplana, I., Oñate, E. A FIC-based stabilized mixed finite element method with equal order interpolation for solid–pore fluid interaction problems. "International journal for numerical and analytical methods in geomechanics", Gener 2017, vol. 41, núm. 1, p. 110-134. |
dc.identifier.issn | 0363-9061 |
dc.identifier.uri | http://hdl.handle.net/2117/99510 |
dc.description | This is the peer reviewed version of the following article: [de-Pouplana, I., and Oñate, E. (2017) A FIC-based stabilized mixed finite element method with equal order interpolation for solid–pore fluid interaction problems. Int. J. Numer. Anal. Meth. Geomech., 41: 110–134. doi: 10.1002/nag.2550], which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/nag.2550/abstract. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving." |
dc.description.abstract | A new mixed displacement-pressure element for solving solid–pore fluid interaction problems is presented. In the resulting coupled system of equations, the balance of momentum equation remains unaltered, while the mass balance equation for the pore fluid is stabilized with the inclusion of higher-order terms multiplied by arbitrary dimensions in space, following the finite calculus (FIC) procedure. The stabilized FIC-FEM formulation can be applied to any kind of interpolation for the displacements and the pressure, but in this work, we have used linear elements of equal order interpolation for both set of unknowns. Examples in 2D and 3D are presented to illustrate the accuracy of the stabilized formulation for solid–pore fluid interaction problems. |
dc.format.extent | 25 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Física::Física de fluids |
dc.subject.lcsh | Fluid-structure interaction--Mathematical models |
dc.subject.other | coupled solid-pore fluid formulation |
dc.subject.other | saturated soils |
dc.subject.other | incompressible undrained limit |
dc.subject.other | finite calculus |
dc.subject.other | finite element method |
dc.title | A FIC-based stabilized mixed finite element method with equal order interpolation for solid–pore fluid interaction problems |
dc.type | Article |
dc.subject.lemac | Interacció fluid-estructura -- Models matemàtics |
dc.contributor.group | Universitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria |
dc.identifier.doi | 10.1002/nag.2550 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://onlinelibrary.wiley.com/doi/10.1002/nag.2550/abstract |
dc.rights.access | Open Access |
local.identifier.drac | 19526607 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | De Pouplana, I.; Oñate, E. |
local.citation.publicationName | International journal for numerical and analytical methods in geomechanics |
local.citation.volume | 41 |
local.citation.number | 1 |
local.citation.startingPage | 110 |
local.citation.endingPage | 134 |
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