A predictor-corrector scheme for open boundary problems

Abstract

In this paper an iterative finite-element procedure is described for the solution of non-linear timevarying eddy current problems in open boundaries. A fictitious boundary delimiting a bounded domain is introduced. At each discrete time, two algebraic systems are set up and solved for the predictor and corrector solutions. Both these systems are solved iteratively by assuming a first guess for the Dirichlet condition on the fictitious boundary and improving it by making use of the free-space Green's function until convergence takes place. A great reduction of computing time is obtained with respect to the solution with a Newton-Raphson solver. Index terms -Finite element methods, magnetic fields, eddy currents, open boundary problems.