Integral equation based on domain decomposition method for PEC body of translation

Abstract

In this paper, a hybrid scheme named IE-DDMMLFMA with forward-backward method is proposed to calculate the scattering from the perfect electric conductor body of translation. The computational body of translation can be partitioned into concentric non-overlapping subdomains. Each of integral equation systems are solved separately, thus reducing the complexity of the original problem. Moreover, by applying two sets of MLFMA grids, a more efficient matrix-vector multiplication is implemented because of the translation invariant feature of each subdomain. The main advantage offered by this technique is a reduction in memory requirements. For the solution of the resulting linear systems we describe appropriate iterative solution strategies using generalized forward-backward method. At the same time, the iterative procedure for each subdomain is accelerated by block-diagonal pre-conditioner and OpenMP techniques. Various numerical examples are presented that illustrate its potential.