Determining linear cracks by boundary measurements: Lipschitz stability

Giovanni Alessandrini; Elena Beretta; Sergio Vessella

doi:10.1137/S0036141094265791

Determining linear cracks by boundary measurements: Lipschitz stability

Giovanni Alessandrini, Elena Beretta, Sergio Vessella

Mathematics

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

Abstract

We consider the inverse boundary value problem of crack detection in a two-dimensional electrical conductor. We prove an estimate of Lipschitz type on the continuous dependence of an unknown linear crack from the boundary measurements.

Original language	English (US)
Pages (from-to)	361-375
Number of pages	15
Journal	SIAM Journal on Mathematical Analysis
Volume	27
Issue number	2
DOIs	https://doi.org/10.1137/S0036141094265791
State	Published - Mar 1996

Keywords

Crack
Inverse boundary value problem
Stability

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

Access to Document

10.1137/S0036141094265791

Cite this

@article{21a48d46b841493d873eb191e9023e67,

title = "Determining linear cracks by boundary measurements: Lipschitz stability",

abstract = "We consider the inverse boundary value problem of crack detection in a two-dimensional electrical conductor. We prove an estimate of Lipschitz type on the continuous dependence of an unknown linear crack from the boundary measurements.",

keywords = "Crack, Inverse boundary value problem, Stability",

author = "Giovanni Alessandrini and Elena Beretta and Sergio Vessella",

year = "1996",

month = mar,

doi = "10.1137/S0036141094265791",

language = "English (US)",

volume = "27",

pages = "361--375",

journal = "SIAM Journal on Mathematical Analysis",

issn = "0036-1410",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "2",

}

TY - JOUR

T1 - Determining linear cracks by boundary measurements

T2 - Lipschitz stability

AU - Alessandrini, Giovanni

AU - Beretta, Elena

AU - Vessella, Sergio

PY - 1996/3

Y1 - 1996/3

N2 - We consider the inverse boundary value problem of crack detection in a two-dimensional electrical conductor. We prove an estimate of Lipschitz type on the continuous dependence of an unknown linear crack from the boundary measurements.

AB - We consider the inverse boundary value problem of crack detection in a two-dimensional electrical conductor. We prove an estimate of Lipschitz type on the continuous dependence of an unknown linear crack from the boundary measurements.

KW - Crack

KW - Inverse boundary value problem

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=0030530306&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030530306&partnerID=8YFLogxK

U2 - 10.1137/S0036141094265791

DO - 10.1137/S0036141094265791

M3 - Article

AN - SCOPUS:0030530306

SN - 0036-1410

VL - 27

SP - 361

EP - 375

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 2

ER -

Determining linear cracks by boundary measurements: Lipschitz stability

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this