書誌事項
- 公開日
- 2012
- 資源種別
- journal article
- DOI
-
- 10.3934/ipi.2012.6.423
- 公開者
- American Institute of Mathematical Sciences (AIMS)
この論文をさがす
説明
This work deals with an inverse boundary value problem arising from the equation of heat conduction. Mathematical theory and algorithm is described in dimensions 1–3 for probing the discontinuous part of the conductivity from local temperature and heat flow measurements at the boundary. The approach is based on the use of complex spherical waves, and no knowledge is needed about the initial temperature distribution. In dimension two we show how conformal transformations can be used for probing deeper than is possible with discs. Results from numerical experiments in the one-dimensional case are reported, suggesting that the method is capable of recovering locations of discontinuities approximately from noisy data.
International audience
収録刊行物
-
- Inverse Problems and Imaging
-
Inverse Problems and Imaging 6 (3), 423-446, 2012
American Institute of Mathematical Sciences (AIMS)
- Tweet
キーワード
詳細情報 詳細情報について
-
- CRID
- 1360004239748080768
-
- ISSN
- 19308345
- 19308337
-
- 資料種別
- journal article
-
- データソース種別
-
- Crossref
- KAKEN
- OpenAIRE
