Shielding Effectiveness Analysis of Large Enclosures by Domain Decomposition Mesh-Free Method

Abstract

In this paper, an efficient domain decomposition mesh-free method (DD-MFM) is introduced to analyze the shielding effectiveness of a perforated metallic structure. First, a DD scheme is developed for a two-dimensional Fredholm integral equation of the second kind. Then, it is applied to a MFM-based method in a shielding enclosure problem. To this end, N number of nodes are considered on each aperture surface representing an individual domain. The MFM formulation through the DD scheme leads to M coupled equations, where M is the number of apertures (domains). In each equation, coefficient matrices have only 2 N × 2 N dimension, while the conventional MFM (C-MFM) would produce 2 MN × 2 MN coefficient matrices. Thus, DD-MFM technique will overcome the ill-conditioning problem of matrices and results in much more efficiency, especially for problems with large matrix condition number, albeit at the cost of generating M coupled equations. Coupled equations are treated in an iterative process. To show the efficiency and accuracy of the proposed method, several enclosures with different size and multiple apertures are studied. The results are validated with the C-MFM and two well-known commercial software, FEKO and Computer Simulation Technology. The important output of the proposed DD-MFM method is that it makes the analysis of large enclosure with numerous apertures efficiently possible.