Detection of material interfaces using a regularized level set method in piezoelectric structures

S. S. Nanthakumar, T. Lahmer, X. Zhuang, Goangseup Zi, Timon Rabczuk

Research output: Contribution to journalArticlepeer-review

209 Citations (Scopus)


An algorithm to solve the inverse problem of detecting inclusion interfaces in a piezoelectric structure is proposed. The material interfaces are implicitly represented by level sets which are identified by applying regularization using total variation penalty terms. The inverse problem is solved iteratively and the extended finite element method is used for the analysis of the structure in each iteration. The formulation is presented for three-dimensional structures and inclusions made of different materials are detected by using multiple level sets. The results obtained prove that the iterative procedure proposed can determine the location and approximate shape of material sub-domains in the presence of higher noise levels.

Original languageEnglish
Pages (from-to)153-176
Number of pages24
JournalInverse Problems in Science and Engineering
Issue number1
Publication statusPublished - 2016 Jan 2

Bibliographical note

Publisher Copyright:
© 2015 Taylor & Francis.


  • Piezoelectric ceramics
  • XFEM
  • inverse problem
  • level set method

ASJC Scopus subject areas

  • General Engineering
  • Computer Science Applications
  • Applied Mathematics


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