An interface-enriched generalized finite element analysis for electromagnetic problems with non-conformal discretizations

Kedi Zhang, Ahmad Raeisi Najafi, Jian Ming Jin, Philippe H. Geubelle

Research output: Contribution to journalArticle

Abstract

An interface-enriched generalized finite element method is presented for analyzing electromagnetic problems involving highly inhomogeneous materials. To avoid creating conformal meshes within a complex computational domain and preparing multiple meshes during optimization, enriched vector basis functions are introduced over the finite elements that intersect the material interfaces to capture the normal derivative discontinuity of the tangential field component. These enrichment functions are directly constructed from a linear combination of the vector basis functions of the sub-elements. Several numerical examples are presented to verify the method with analytical solutions and demonstrate its h-refinement convergence rate. The proposed interface-enriched generalized finite element method is shown to achieve the same level of accuracy as the standard finite element method based on conformal meshes. Two examples, involving multiple microvascular channels and circular inclusions of different radii, are analyzed to illustrate the capability of the proposed approach in handling complicated inhomogeneous geometries.

Original languageEnglish (US)
Pages (from-to)265-279
Number of pages15
JournalInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Volume29
Issue number2
DOIs
StatePublished - Mar 1 2016

Keywords

  • electromagnetic problems
  • enriched vector basis functions
  • generalized finite element method
  • non-conformal discretization
  • normal derivative discontinuity

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'An interface-enriched generalized finite element analysis for electromagnetic problems with non-conformal discretizations'. Together they form a unique fingerprint.

  • Cite this