Convergence Properties of Iterative Full-Wave Electromagnetic FEM Analyses with Node Block Preconditioners

Toshio MURAYAMA  Akira MUTO  Amane TAKEI  

IEICE TRANSACTIONS on Electronics   Vol.E101-C   No.8   pp.612-619
Publication Date: 2018/08/01
Online ISSN: 1745-1353
DOI: 10.1587/transele.E101.C.612
Type of Manuscript: Special Section PAPER (Special Section on Recent Advances in Simulation Techniques and Their Applications for Electronics)
full-wave electromagnetic simulation,  finite element method,  preconditioning,  iterative method,  extended node patch,  

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In this paper we report the convergence acceleration effect of the extended node patch preconditioner for the iterative full-wave electromagnetic finite element method with more than ten million degrees of freedom. The preconditioner, which is categorized into the multiplicative Schwarz scheme, effectively works with conventional numerical iterative matrix solving methods on a parallel computer. We examined the convergence properties of the preconditioner combined with the COCG, COCR and GMRES algorithms for the analysis domain encompassed by absorbing boundary conditions (ABC) such as perfectly matched layers (PML). In those analyses the properties of the convergence are investigated numerically by sweeping frequency range and the number of PMLs. Memory-efficient nature of the preconditioner is numerically confirmed through the experiments and upper bounds of the required memory size are theoretically proved. Finally it is demonstrated that this extended node patch preconditioner with GMRES algorithm works well with the problems up to one hundred million degrees of freedom.