NON-LINEAR POTENTIAL PROBLEMS.

Relevant theory is presented for non-linear potential problems and descriptions are provided for: (1) The use of Kirchoff's transform to convert a non-linear material problem into a linear one and a description of several different shape functions to define the conductivity. (2) The type of integral equations that are obtained if the Kirchoff's transform is applied for non-linear material in the presence of mixed boundary conditions. (3) The integral formulation for non-linear radiation boundary conditions with and without potential dependent conductivity. The paper also deals with the axisymmetric formulation and the use of higher order elements.