Non overlapping Domain Decomposition based on Discontinuous Galerkin and enhanced transmission conditions for multi-scale structures

Abstract

A Non overlapping Domain Decomposition (DDM) strategy is proposed, to solve the ill-conditioning in multi-scale PEC structures. The considered scheme uses the Discontinuous Galerkin (DG) formulation, avoiding artificial surfaces between the decomposed domains; furthermore, the proposed DDM can be applied to open structures straightly. The convergence of the algorithm is accelerated through the enhancement of the transmission conditions in the cutting contours separating the domains.