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Solutions of Electromagnetics Problems Involving Hundreds of Millions of Unknowns with Parallel Multilevel Fast Multipole Algorithm
Date
2009-06-05
Author
Ergül, Özgür Salih
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Department of Electrical and Electronics Engineering, Conference / Seminar
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We present the solution of extremely large electromagnetics problems formulated with surface integral equations (SIEs) and discretized with hundreds of millions of unknowns. Scattering and radiation problems involving three-dimensional closed metallic objects are formulated rigorously by using the combined-field integral equation (CFIE). Surfaces are discretized with small triangles, on which the Rao-Wilton-Glisson (RWG) functions are defined to expand the induced electric current and to test the boundary c...
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We present an iterative inner-outer scheme for the efficient solution of large-scale electromagnetics problems involving perfectly-conducting objects formulated with surface integral equations. Problems are solved by employing the multilevel fast multipole algorithm (MLFMA) on parallel computer systems. In order to construct a robust preconditioner, we develop an approximate MLFMA (AMLFMA) by systematically increasing the efficiency of the ordinary MLFMA. Using a flexible outer solver, iterative MLFMA solut...
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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 us...
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Ö. S. Ergül, “Solutions of Electromagnetics Problems Involving Hundreds of Millions of Unknowns with Parallel Multilevel Fast Multipole Algorithm,” 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55338.
