ESAIM Mathematical Modelling and Numerical Analysis · 2003 · 114 citations · 10 references
EngineeringElectrical EngineeringTransport PhenomenaBoundary ConditionsBoundary Conditions In TransportCurrent DistributionCurrent-voltage CharacteristicsElectrical ConductivityPerturbation TheoryAsymptotic Boundary ConditionsAsymptotic PropertiesBoundary-layer EquationsConductivityPerturbation Of Boundary Value ProblemsSteady-state Voltage
We establish an asymptotic representation formula for the steady state voltage perturbations caused by low volume fraction internal conductivity inhomogeneities. This formula generalizes and unifies earlier formulas derived for special geometries and distributions of inhomogeneities.
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Donna J. Cedio-Fengya, Shari Moskow, Michael Vogelius · Inverse Problems · 1998 · 249 citations · Full text