Three-dimensional immersed finite element methods for electric field simulation in composite materials

R. Kafafy, T. Lin, Yanping Lin, J. Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

86 Citations (Scopus)


This paper presents two immersed finite element (IFE) methods for solving the elliptic interface problem arising from electric field simulation in composite materials. The meshes used in these IFE methods can be independent of the interface geometry and position; therefore, if desired, a structured mesh such as a Cartesian mesh can be used in an IFE method to simulate 3-D electric field in a domain with non-trivial interfaces separating different materials. Numerical examples are provided to demonstrate that the accuracies of these IFE methods are comparable to the standard linear finite element method with unstructured body-fit mesh.
Original languageEnglish
Pages (from-to)940-972
Number of pages33
JournalInternational Journal for Numerical Methods in Engineering
Issue number7
Publication statusPublished - 21 Oct 2005
Externally publishedYes


  • Cartesian meshes
  • Discontinuous coefficients
  • Elliptic boundary value problems
  • Immersed finite elements

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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