The enclosure method for a generalized anisotropic complex conductivity equation

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We study how to apply the enclosure method to reconstruct an unknown inclusion within a medium in a domain in ℝn which satisfies the conductivity equation ∇ ⋅ ((σ 0 + iϵ 0)∇u) = 0 with σ 0 and ϵ 0 being real matrix functions. Motivated by some real world applications, we assume the unknown inclusion satisfies an equation of the more general form ∇ ˙ ((σ + iϵ) ∇ u+ ζ ∇ u)= 0, where σ, ϵ, ζ are also real matrix functions. Due to the anisotropy, it is in general difficult to find complex geometric optics solutions. Therefore, we construct the oscillating decaying solutions, which is used to test whether a given half-space intersects the unknown inclusion or not.

Original languageEnglish
Article number055010
JournalInverse Problems
Issue number5
Publication statusPublished - 2021 May

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics


Dive into the research topics of 'The enclosure method for a generalized anisotropic complex conductivity equation'. Together they form a unique fingerprint.

Cite this