The enclosure method for a generalized anisotropic complex conductivity equation

研究成果: Article同行評審

摘要

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.

原文English
文章編號055010
期刊Inverse Problems
37
發行號5
DOIs
出版狀態Published - 2021 五月

All Science Journal Classification (ASJC) codes

  • 理論電腦科學
  • 訊號處理
  • 數學物理學
  • 電腦科學應用
  • 應用數學

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