Solutions of large-scale electromagnetics problems involving dielectric objects with the parallel multilevel fast multipole algorithm

Ergul, O. (2011) Solutions of large-scale electromagnetics problems involving dielectric objects with the parallel multilevel fast multipole algorithm. Journal of the Optical Society of America A, 28 (11). pp. 2261-2268. ISSN 1084-7529 (https://doi.org/10.1364/JOSAA.28.002261)

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Abstract

Fast and accurate solutions of large-scale electromagnetics problems involving homogeneous dielectric objects are considered. Problems are formulated with the electric and magnetic current combined-field integral equation and discretized with the Rao-Wilton-Glisson functions. Solutions are performed iteratively by using the multi-level fast multipole algorithm (MLFMA). For the solution of large-scale problems discretized with millions of unknowns, MLFMA is parallelized on distributed-memory architectures using a rigorous technique, namely, the hierarchical partitioning strategy. Efficiency and accuracy of the developed implementation are demonstrated on very large problems involving as many as 100 million unknowns.

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