# Numerical identification of discontinuous conductivity coefficients

Hyeonbae Kang, Jin Keun Seo, Dongwoo Sheen

Research output: Contribution to journalArticle

39 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 113-123 11 Inverse Problems 13 1 https://doi.org/10.1088/0266-5611/13/1/009 Published - 1997 Dec 1

### Fingerprint

Conductivity
Electric Current
Electric currents
Coefficient
Inverse problems
Numerical Algorithms
Inverse Problem
Voltage
Fluxes
Unknown
Electric potential
Object

### All Science Journal Classification (ASJC) codes

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

### Cite this

Kang, Hyeonbae ; Seo, Jin Keun ; Sheen, Dongwoo. / Numerical identification of discontinuous conductivity coefficients. In: Inverse Problems. 1997 ; Vol. 13, No. 1. pp. 113-123.
@article{acbcc63385b444bc9c7971a15eb32488,
title = "Numerical identification of discontinuous conductivity coefficients",
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",
year = "1997",
month = "12",
day = "1",
doi = "10.1088/0266-5611/13/1/009",
language = "English",
volume = "13",
pages = "113--123",
journal = "Inverse Problems",
issn = "0266-5611",
publisher = "IOP Publishing Ltd.",
number = "1",

}

Numerical identification of discontinuous conductivity coefficients. / Kang, Hyeonbae; Seo, Jin Keun; Sheen, Dongwoo.

In: Inverse Problems, Vol. 13, No. 1, 01.12.1997, p. 113-123.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Numerical identification of discontinuous conductivity coefficients

AU - Kang, Hyeonbae

AU - Seo, Jin Keun

AU - Sheen, Dongwoo

PY - 1997/12/1

Y1 - 1997/12/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0001495158&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001495158&partnerID=8YFLogxK

U2 - 10.1088/0266-5611/13/1/009

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

M3 - Article

AN - SCOPUS:0001495158

VL - 13

SP - 113

EP - 123

JO - Inverse Problems

JF - Inverse Problems

SN - 0266-5611

IS - 1

ER -