Solution of an integro-differential equation describing the electromagnetic field distribution in a magnetic compressor

Abstract

We construct a mathematical model of electromagnetic processes in a magnetic accelerator. In the two-dimensional approximation, the Maxwell equations are reduced to a system of scalar integro-differential equations in the conductors and to the Laplace equation in the dielectric subdomains. We obtain a numerical model on the basis of the Galerkin–Petrovmethod with piecewise constant and piecewise linear basis functions. The results of computations are represented.