Ir al contenido (pulsa Retorno)

Universitat Politècnica de Catalunya

    • Català
    • Castellano
    • English
    • LoginRegisterLog in (no UPC users)
  • mailContact Us
  • world English 
    • Català
    • Castellano
    • English
  • userLogin   
      LoginRegisterLog in (no UPC users)

UPCommons. Global access to UPC knowledge

57.066 UPC E-Prints
You are here:
View Item 
  •   DSpace Home
  • E-prints
  • Departaments
  • Departament de Matemàtiques
  • Articles de revista
  • View Item
  •   DSpace Home
  • E-prints
  • Departaments
  • Departament de Matemàtiques
  • Articles de revista
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

A stable XFEM formulation for multi-phase problems enforcing the accuracy of the fluxes through Lagrange multipliers

Thumbnail
View/Open
2013-IJNME-DCZ-blanc.pdf (3,561Mb)
Share:
 
 
10.1002/nme.4554
 
  View Usage Statistics
Cita com:
hdl:2117/77765

Show full item record
Díez, PedroMés informacióMés informacióMés informació
Cottereau, Régis
Zlotnik, SergioMés informacióMés informacióMés informació
Document typeArticle
Defense date2013-11-02
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
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.
CitationDiez, 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. 
URIhttp://hdl.handle.net/2117/77765
DOI10.1002/nme.4554
ISSN1097-0207
Publisher versionhttp://onlinelibrary.wiley.com/doi/10.1002/nme.4554/abstract;jsessionid=E3425CAAFE6758BB957DBBAB73824CEA.f02t03
Collections
  • Departament de Matemàtiques - Articles de revista [2.895]
  • LaCàN - Mètodes Numèrics en Ciències Aplicades i Enginyeria - Articles de revista [551]
Share:
 
  View Usage Statistics

Show full item record

FilesDescriptionSizeFormatView
2013-IJNME-DCZ-blanc.pdf3,561MbPDFView/Open

Browse

This CollectionBy Issue DateAuthorsOther contributionsTitlesSubjectsThis repositoryCommunities & CollectionsBy Issue DateAuthorsOther contributionsTitlesSubjects

© UPC Obrir en finestra nova . Servei de Biblioteques, Publicacions i Arxius

info.biblioteques@upc.edu

  • About This Repository
  • Contact Us
  • Send Feedback
  • Inici de la pàgina