Identification of conductivity imperfections of small diameter by boundary measurements. Continous dependence and computational reconstruction

被引:193
作者
Cedio-Fengya, DJ
Moskow, S
Vogelius, MS
机构
[1] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA
[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
关键词
D O I
10.1088/0266-5611/14/3/011
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We derive an asymptotic formula for the steady-state voltage potential in the presence of a finite number of diametrically small inhomogeneities with conductivity different from the background conductivity. We use this formula to establish continuous dependence estimates and to design an effective computational identification procedure.
引用
收藏
页码:553 / 595
页数:43
相关论文
共 18 条
[1]   LOCAL UNIQUENESS IN THE INVERSE CONDUCTIVITY PROBLEM WITH ONE MEASUREMENT [J].
ALESSANDRINI, G ;
ISAKOV, V ;
POWELL, J .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (08) :3031-3041
[2]  
BARBER DC, 1990, SIAM PROC S, P151
[3]  
CEDIOFENGYA DJ, 1997, THESIS RUTGERS U
[4]  
Cheney M, 1990, Int J Imaging Syst Technol, V2, P66, DOI 10.1002/ima.1850020203
[5]  
Folland G., 1976, INTRO PARTIAL DIFFER, DOI DOI 10.1515/9780691213033
[6]   ON THE UNIQUENESS IN THE INVERSE CONDUCTIVITY PROBLEM WITH ONE MEASUREMENT [J].
FRIEDMAN, A ;
ISAKOV, V .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1989, 38 (03) :563-579
[7]   IDENTIFICATION OF SMALL INHOMOGENEITIES OF EXTREME CONDUCTIVITY BY BOUNDARY MEASUREMENTS - A THEOREM ON CONTINUOUS DEPENDENCE [J].
FRIEDMAN, A ;
VOGELIUS, M .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1989, 105 (04) :299-326
[8]   The layer potential technique for the inverse conductivity problem [J].
Kang, H ;
Seo, JK .
INVERSE PROBLEMS, 1996, 12 (03) :267-278
[9]  
KLEINMAN RE, 1986, LOW HIGH FREQUENCY A, pCH1
[10]   DETERMINING CONDUCTIVITY BY BOUNDARY MEASUREMENTS [J].
KOHN, R ;
VOGELIUS, M .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (03) :289-298