Numerical identification of discontinuous conductivity coefficients

Hyeonbae Kang; Jin Keun Seo; Dongwoo Sheen

doi:10.1088/0266-5611/13/1/009

Numerical identification of discontinuous conductivity coefficients

Hyeonbae Kang, Jin Keun Seo, Dongwoo Sheen

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

41 Citations (Scopus)

Abstract

Let Ω ⊂ ℝⁿ be given and suppose D ⊂ Ω is an unknown object with known constant conductivity k. We consider the inverse problem of determining the discontinuous conductivity coefficient 1 + (k - 1)_χD from the measurements of the electric voltage induced by the electric current flux prescribed on Ω. We propose a general numerical algorithm for this problem and implement this algorithm to identify a disc by only one measurement.

Original language	English
Pages (from-to)	113-123
Number of pages	11
Journal	Inverse Problems
Volume	13
Issue number	1
DOIs	https://doi.org/10.1088/0266-5611/13/1/009
Publication status	Published - 1997

All Science Journal Classification (ASJC) codes

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

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10.1088/0266-5611/13/1/009

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abstract = "Let Ω ⊂ ℝn be given and suppose D ⊂ Ω is an unknown object with known constant conductivity k. We consider the inverse problem of determining the discontinuous conductivity coefficient 1 + (k - 1)χD from the measurements of the electric voltage induced by the electric current flux prescribed on Ω. We propose a general numerical algorithm for this problem and implement this algorithm to identify a disc by only one measurement.",

author = "Hyeonbae Kang and Seo, {Jin Keun} and Dongwoo Sheen",

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AU - Kang, Hyeonbae

AU - Seo, Jin Keun

AU - Sheen, Dongwoo

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AB - Let Ω ⊂ ℝn be given and suppose D ⊂ Ω is an unknown object with known constant conductivity k. We consider the inverse problem of determining the discontinuous conductivity coefficient 1 + (k - 1)χD from the measurements of the electric voltage induced by the electric current flux prescribed on Ω. We propose a general numerical algorithm for this problem and implement this algorithm to identify a disc by only one measurement.

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DO - 10.1088/0266-5611/13/1/009

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VL - 13

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JO - Inverse Problems

JF - Inverse Problems

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ER -

Numerical identification of discontinuous conductivity coefficients

Abstract

All Science Journal Classification (ASJC) codes

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