Asymptotic formulas for steady state voltage potentials in the presence of thin inhomogeneities. A rigorous error analysis

Journal des Mathematiques Pures et Appliquees

Volumn 82, Issue 10, 2003, Pages 1277-1301

  Beretta, Elena ^a   Francini, Elisa ^b   Vogelius, Michael S ^c  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b CNR   (Italy)

^c RUTGERS UNIVERSITY   (United States)

Author keywords

Asymptotic formulas; Conductivity problem; Thin inhomogeneities

Indexed keywords

EID: 0142024082     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(03)00081-3     Document Type: Article

References (4)

1. Capdeboscq Y. Vogelius M.S. A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction Modél. Math. Anal. Numér. 37 2003 159-173
2. Cedio-Fengya D.J. Moskow S. Vogelius M.S. Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction Inverse Problems 14 1998 553-595
3. Gilbarg D. Trudinger N. Elliptic Partial Differential Equations of Second Order 2nd Edition 1983 Springer-Verlag
4. Li Y.Y. Vogelius M. Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients Arch. Rational Mech. Anal. 153 2000 91-151