Preconditioning of wire simulations in the presence of junctions

Abstract

Using the proposed preconditioning technique, fast convergence can be obtained. This is illustrated for a simulation of a straight wire. In Fig. 1 the number of iterations needed by the proposed regularized Green function preconditioned EFIE solver is compared with that needed by a Calderon preconditioned [3] and unpreconditioned solver. The number of iterations required by the proposed preconditioner is almost independent of the number of unknowns. The number of iterations needed using the unpreconditioned system, or the Calderòn preconditioned system, is O(N). Similar results apply for wires of other lengths.