Abstract
In this paper, a parallel nonoverlapping and nonconformal domain decomposition method (DDM) is proposed for fast and accurate analysis of electrically large objects in the condition of limited resources. The formulation of nonoverlapping DDM for PEC bodies is derived from combined-field integral equation (CFIE), and an explicit boundary condition is applied to ensure the continuity of electric currents across the boundary. A parallel multilevel fast multipole algorithm (MLFMA) is extended to accelerate matrix-vector multiplications of subdomains as well as the coupling between them, and the coupling between different subdomains is computed in the manner of near field to avoid the storage of the mutual impedance. An improved adaptive direction partitioning scheme is applied to the oct-tree of MLFMA to achieve high parallel efficiency. Numerical examples demonstrate that the proposed method is able to simulate realistic problems with a maximum dimension greater than 2000 wavelengths.
Highlights
Computer simulation has shown its great power in solving electromagnetic (EM) problems and become an indispensable tool in engineering design and analysis
Based on the proposed algorithms, we have developed a hybrid message passing interface (MPI)/OpenMP parallel implementation to fully exploit the recent success of multicore processors and massively parallel distributed memory supercomputers
Numerical examples are given to study the performance of the proposed integral equation-based nonoverlapping domain decomposition method (IE-NDDM), including the accuracy, the parallel efficiency, and the convergence behaviour
Summary
Computer simulation has shown its great power in solving electromagnetic (EM) problems and become an indispensable tool in engineering design and analysis. For such simulations, surface integral equation methods (SIE) are widely used, and the method of moments (MoM) using SIE is regarded as an effective and popular method [1, 2]. For MoM, it is still not easy to simulate a model of hundreds of wavelengths due to limited computational resources. The DDM based on integral equations has successfully simulated scattering problems of PEC objects and radiation problems of antenna, which seems to be a method both feasible and efficient for solving complex and large problems.
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