Fixed-point technique in identification of a shape of an inaccessible boundary between two media of different magnetic properties

The magnetic field was applied for identification of a shape of an inaccess ible boundary between substances of different magnetic properties Taking ad vantage of the conception of substitute field sources a mathematical model of the problem teas described by means of the potential theory and integral equations. Numerical processing of Fredholm integral equations of the firs t kind appearing in the above model leads to a system of ill-posed and nonl inear algebraic equations. This results in numerical instability. The probl em was solved by the use of the fixed-point technique based on Brouwer's th eorem. A few numerical examples weve illustrated for the selected shape of the investigated boundary.