Boundary layer techniques for solving the Helmholtz equation in the presence of small inhomogeneities

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

Donna J. Cedio-Fengya, Shari Moskow, Michael Vogelius · Inverse Problems · 1998 · 249 citations · Full text

Natural Sciences, Electrical Engineering, Physics +9

Identification of small inhomogeneities of extreme conductivity by boundary measurements: a theorem on continuous dependence

Avner Friedman, Michael Vogelius · Archive for Rational Mechanics and Analysis · 1989 · 203 citations

Engineering, Electrical Engineering, Transport Phenomena +7

Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter

Michael Vogelius, Darko Volkov · ESAIM Mathematical Modelling and Numerical Analysis · 2000 · 188 citations · Full text

Natural Sciences, Physics, Electromagnetics +12

The layer potential technique for the inverse conductivity problem

Hyeonbae Kang, Jin Keun Seo · Inverse Problems · 1996 · 100 citations

Natural Sciences, Mathematics, Computational Geometry +12

High-Order Terms in the Asymptotic Expansions of the Steady-State Voltage Potentials in the Presence of Conductivity Inhomogeneities of Small Diameter

Habib Ammari, Hyeonbae Kang · SIAM Journal on Mathematical Analysis · 2003 · 74 citations

Engineering, Electrical Engineering, Boundary Layer Meteorology +15