MISC

2018年7月

円形電気回路におけるディリクレ-ノイマン写像による導電率の再構成

同志社大学ハリス理化学研究報告
  • 森岡 悠
  • ,
  • 塩崎 玲
  • ,
  • 多久和英樹

59
2
開始ページ
69
終了ページ
74
記述言語
日本語
掲載種別
記事・総説・解説・論説等(大学・研究所紀要)
DOI
10.14988/pa.2018.0000000166

The theory of inverse boundary value problems has been used in fields of engineering and physics such as non-destructive testing, medical imaging. <br />
Calder\&#039;{o}n&#039;s inverse problem for an elliptic partial differential equation appears in electrical impedance tomography (EIT).<br />
EIT is one of techniques for medical imaging.<br />
One can infer inside of human body by the surface electrode measurements. <br />
Mathematically, this technique corresponds to the reconstruction of the electrical conductivity from boundary measurements.<br />
One of theoretical models of boundary measurements is the Dirichlet-to-Neumann map.<br />
In the present paper, we consider a discrete analogue of Calder\&#039;{o}n&#039;s inverse problem.<br />
Namely, we derive a reconstruction procedure of conductivity on circular resistor networks from the Dirichlet-to-Neumann map.<br />
A numerical example of perturbation of the Dirichlet-to-Neumann map is also given in this paper.

リンク情報
DOI
https://doi.org/10.14988/pa.2018.0000000166
URL
https://doors.doshisha.ac.jp/opac/opac_link/bibid/SB12902196/?lang=0
ID情報
  • DOI : 10.14988/pa.2018.0000000166
  • ISSN : 2189-5937

エクスポート
BibTeX RIS