Numerical Determination of Voltage Potential Inside Nonhomogeneous Media Using Variational Methods

Abstract

The problem of numerical determination of voltage potential inside one and two dimensional nonhomogeneous media using values of the voltage potential on the boundary of the media has been solved. The convenient form of variational formulation of the problem has been derived. The numerical solution of the problem has been obtained by the method of local variations.

Numerical Determination of Voltage Potential Inside Nonhomogeneous Media Using Variational Methods

“…Then it is possible to continue by dividing the step. We can prove similarly to [3] the following important theorem: THEOREM. Let the electrical conductivity is piecewise smooth function.…”

“…Also now second way how to obtain better results is to use better discretization scheme. For more numerical experiments see [5].…”