Identification of domains with near-extreme conductivity: Global stability and error estimates

Hyeonbae Kang; Jin Keun Seo

doi:10.1088/0266-5611/15/4/302

Identification of domains with near-extreme conductivity: Global stability and error estimates

Hyeonbae Kang, Jin Keun Seo

Department of Computational Science and Engineering

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

16 Citations (Scopus)

Abstract

We obtain global Hölder stability estimates in identification of ellipses with extreme conductivity and error estimates within the class of perturbed ellipses with near-extreme conductivity. We also prove uniform stability with estimates for the direct problem under perturbation of domains and conductivity.

Original language	English
Pages (from-to)	851-867
Number of pages	17
Journal	Inverse Problems
Volume	15
Issue number	4
DOIs	https://doi.org/10.1088/0266-5611/15/4/302
Publication status	Published - 1999 Aug

All Science Journal Classification (ASJC) codes

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

Access to Document

10.1088/0266-5611/15/4/302

Cite this

@article{787beeea4eae4da49c1b6e2519b53630,

title = "Identification of domains with near-extreme conductivity: Global stability and error estimates",

abstract = "We obtain global H{\"o}lder stability estimates in identification of ellipses with extreme conductivity and error estimates within the class of perturbed ellipses with near-extreme conductivity. We also prove uniform stability with estimates for the direct problem under perturbation of domains and conductivity.",

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

year = "1999",

month = aug,

doi = "10.1088/0266-5611/15/4/302",

language = "English",

volume = "15",

pages = "851--867",

journal = "Inverse Problems",

issn = "0266-5611",

publisher = "IOP Publishing Ltd.",

number = "4",

}

TY - JOUR

T1 - Identification of domains with near-extreme conductivity

T2 - Global stability and error estimates

AU - Kang, Hyeonbae

AU - Seo, Jin Keun

PY - 1999/8

Y1 - 1999/8

N2 - We obtain global Hölder stability estimates in identification of ellipses with extreme conductivity and error estimates within the class of perturbed ellipses with near-extreme conductivity. We also prove uniform stability with estimates for the direct problem under perturbation of domains and conductivity.

AB - We obtain global Hölder stability estimates in identification of ellipses with extreme conductivity and error estimates within the class of perturbed ellipses with near-extreme conductivity. We also prove uniform stability with estimates for the direct problem under perturbation of domains and conductivity.

UR - http://www.scopus.com/inward/record.url?scp=0011967070&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011967070&partnerID=8YFLogxK

U2 - 10.1088/0266-5611/15/4/302

DO - 10.1088/0266-5611/15/4/302

M3 - Article

AN - SCOPUS:0011967070

SN - 0266-5611

VL - 15

SP - 851

EP - 867

JO - Inverse Problems

JF - Inverse Problems

IS - 4

ER -

Identification of domains with near-extreme conductivity: Global stability and error estimates

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this