PARALLEL IMPLEMENTATION OF GALERKIN TECHNIQUE IN LARGE SCALE ELECTROMAGNETIC PROBLEMS

Abstract

An intergal equation formulation in conjunction with a palallelised Galerkin technique is employed to solve large-scale electromagnetic (EM) problems. The proposed technique is applicable to EM structures consisting of similar conducting or dielectric parts, defined as "elements". Coupled intergal equations are derived in the frequency domain, written in terms of the conductivity currents or the electric fields deployed on the conducting or dielectric "elements" surfaces, respectively. The system of intergal equations is numerically solved via the parallel computed Galerkin technique, with convienient entire domain basis functions. Even for ellectrically large structures, the use of entire domain basis functions leads to relatively small order linear systems and the main computational cost refers to the matrix fill rather than the matrix solution. The parallalisation introduced to the computation of the matrix elements overcomes the limitation of using Method of Moments at lower and resonant frequencies. The inherent parallelisim of the introduced technique allows for the results to be obtained with minimal addition to sequental code programming effort. Two indicative electromagnetic compatibility applications are presented, concerning the coulping of incident waves with multiple conducting rectangular plates and the coupling phenomena occuring in a multi-element waveguide array looking into a layered lossy cylinder. Numerical results are presented, while the applicability/suitability of diverse High Performance Computing platforms is judged, based on both performance obtained and ease of code portation.