An interface-enriched generalized FEM for problems with discontinuous gradient fields

Soheil Soghrati, Alejandro M. Aragón, C. Armando Duarte, Philippe H. Geubelle

Research output: Contribution to journalArticlepeer-review


A new generalized FEM is introduced for solving problems with discontinuous gradient fields. The method relies on enrichment functions associated with generalized degrees of freedom at the nodes generated from the intersection of the phase interface with element edges. The proposed approach has several advantages over conventional generalized FEM formulations, such as a lower computational cost, easier implementation, and straightforward handling of Dirichlet boundary conditions. A detailed convergence study of the proposed method and a comparison with the standard FEM are presented for heat transfer problems. The method achieves the optimal rate of convergence using meshes that do not conform to the interfaces present in the domain while achieving a level of accuracy comparable to that of the standard FEM with conforming meshes. Various application problems are presented, including the conjugate heat transfer problem encountered in microvascular materials.

Original languageEnglish (US)
Pages (from-to)991-1008
Number of pages18
JournalInternational Journal for Numerical Methods in Engineering
Issue number8
StatePublished - Feb 24 2012


  • Convection-diffusion equation
  • Enrichment functions
  • Gradient discontinuity
  • Heat transfer
  • Microvascular materials

ASJC Scopus subject areas

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics


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