A domain decomposition method for analysis of three-dimensional large-scale electromagnetic compatibility problems

This dissertation work investigates the numerical method for solving Electromagnetic Compatibility (EMC) problems involving electrically large and complex platform. Numerical simulation of the antenna couplings on the aircraft is of great interest in EMC community. Conventional Computational Electromagnetics (CEM) solvers suffer inefficiency and inflexibility in modelling this kind of problems. One of the challenges comes from the multi-scale physics in the geometry containing both electrically large platform and antennas with electrically small structures. Also, using conventional CEM solvers, the user may have the dilemma of choosing between the Partial Differential Equation (PDE) based methods , like Finite Element Method (FEM), which are convenient and accurate in modelling complex materials but requires volume mesh, and Integral Equation (IE) based methods, which only require surface discretization but are not convenient in modelling antennas with complex materials. In this dissertation, a Multi-Solver Domain Decomposition Method (MSDDM) has been proposed to model the problems with electrically large and complex structures. Using MSDDM, the problem of antenna coupling can be decomposed into antenna sub-domains and platform sub-domains, for which different CEM solvers can be applied. This gives an efficient way to precondition the global system. It hybridizes the strength of PDE based methods and IE methods. Also, the CEM solvers in MSDDM

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