Mostra el registre d'ítem simple
A stable XFEM formulation for multi-phase problems enforcing the accuracy of the fluxes through Lagrange multipliers
dc.contributor.author | Díez, Pedro |
dc.contributor.author | Cottereau, Régis |
dc.contributor.author | Zlotnik, Sergio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2015-10-15T12:38:46Z |
dc.date.available | 2015-10-15T12:38:46Z |
dc.date.created | 2013-11-02 |
dc.date.issued | 2013-11-02 |
dc.identifier.citation | Diez, P., Cottereau, R., Zlotnik, S. A stable XFEM formulation for multi-phase problems enforcing the accuracy of the fluxes through Lagrange multipliers. "International journal for numerical methods in engineering (Recurs electrònic)", 02 Novembre 2013, vol. 96, núm. 5, p. 303-322. |
dc.identifier.issn | 1097-0207 |
dc.identifier.uri | http://hdl.handle.net/2117/77765 |
dc.description.abstract | When applied to diffusion problems in a multi-phase setup, the popular extended finite element method (XFEM) strategy suffers from an inaccurate representation of the local fluxes in the vicinity of the interface. The XFEM enrichment improves the global quality of the solution but it is not enforcing any local feature to the fluxes. Thus, the resulting numerical fluxes in the vicinity of the interface are not realistic, in particular when conductivity ratios between the different phases are very high. This paper introduces an additional restriction to the XFEM formulation aiming at properly reproducing the features of the local fluxes in the transition zone. This restriction is implemented through Lagrange multipliers, and the stability of the resulting mixed formulation is tested satisfactorily through the Chapelle–Bathe numerical procedure. Several examples are presented, and the solutions obtained show a spectacular improvement with respect to the standard XFEM. |
dc.format.extent | 20 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics |
dc.subject.lcsh | Strength of materials |
dc.subject.other | multi-phase materials level set XFEM flux accuracy |
dc.title | A stable XFEM formulation for multi-phase problems enforcing the accuracy of the fluxes through Lagrange multipliers |
dc.type | Article |
dc.subject.lemac | Resistència de materials |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1002/nme.4554 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods |
dc.relation.publisherversion | http://onlinelibrary.wiley.com/doi/10.1002/nme.4554/abstract;jsessionid=E3425CAAFE6758BB957DBBAB73824CEA.f02t03 |
dc.rights.access | Open Access |
local.identifier.drac | 16978807 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Diez, P.; Cottereau, R.; Zlotnik, S. |
local.citation.publicationName | International journal for numerical methods in engineering (Recurs electrònic) |
local.citation.volume | 96 |
local.citation.number | 5 |
local.citation.startingPage | 303 |
local.citation.endingPage | 322 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.234]
-
Articles de revista [591]