Asymptotic formulas for steady state voltage potentials in the presence of conductivity imperfections of small area

被引：22

作者：

Beretta, E

Mukherjee, A

Vogelius, M

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2001年 / 52卷 / 04期

关键词：

inverse conductivity problem; thin imperfections; asymptotic formulas;

D O I：

10.1007/PL00001561

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive asymptotic formulas for two dimensional steady state voltage potentials associated with thin, "curve-like" conductivity imperfections. Our derivation is formal, and based on asymptotic matching of terms in an appropriate set of integral equations, In combination with the formulas (rigorously) derived in [3] for imperfections of small diameter, these new formulas cover the generic imperfections of small area in two dimensions.

引用

页码：543 / 572

页数：30

共 12 条

[1] LOCAL UNIQUENESS IN THE INVERSE CONDUCTIVITY PROBLEM WITH ONE MEASUREMENT [J].