Parallel-MLFMA Solutions of Large-Scale Problems Involving Composite Objects

Date

2012-07-14

Author

Ergül, Özgür Salih

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

47
views

0
downloads

We present a parallel implementation of the multilevel fast multipole algorithm (MLFMA) for fast and accurate solutions of large-scale electromagnetics problems involving composite objects with dielectric and metallic parts. Problems are formulated with the electric and magnetic current combined-field integral equation (JMCFIE) and solved iteratively with MLFMA on distributed-memory architectures. Numerical examples involving canonical and complicated objects, such as optical metamaterials, are presented to demonstrate the accuracy and efficiency of the implementation.

Subject Keywords

Fast multipole algorithm, Dielectric objects, Electromagnetics

URI

https://hdl.handle.net/11511/53936

Collections

Department of Electrical and Electronics Engineering, Conference / Seminar

Suggestions

OpenMETU
Core

Rigorous Solutions of Large-Scale Scattering Problems Discretized with Hundreds of Millions of Unknowns Guerel, L.; Ergül, Özgür Salih (2009-09-18) We present fast and accurate solutions of large-scale scattering problems using a parallel implementation of the multilevel fast multipole algorithm (MLFMA). By employing a hierarchical partitioning strategy, MLFMA can be parallelized efficiently on distributed-memory architectures. This way, it becomes possible to solve very large problems discretized with hundreds of millions of unknowns. Effectiveness of the developed simulation environment is demonstrated on various scattering problems involving canonic...
PARALLEL IMPLEMENTATION OF MLFMA FOR HOMOGENEOUS OBJECTS WITH VARIOUS MATERIAL PROPERTIES Ergül, Özgür Salih (2011-01-01) We present a parallel implementation of the multilevel fast multipole algorithm (MLFMA) for fast and accurate solutions of electromagnetics problems involving homogeneous objects with diverse material properties. Problems are formulated rigorously with the electric and magnetic current combined-field integral equation (JMCFIE) and solved iteratively using MLFMA parallelized with the hierarchical partitioning strategy. Accuracy and efficiency of the resulting implementation are demonstrated on canonical prob...
PARALLEL MULTILEVEL FAST MULTIPOLE ALGORITHM FOR COMPLEX PLASMONIC METAMATERIAL STRUCTURES Ergül, Özgür Salih (2013-11-09) A parallel implementation of the multilevel fast multipole algorithm (MLFMA) is developed for fast and accurate solutions of electromagnetics problems involving complex plasmonic metamaterial structures. Composite objects that consist of multiple penetrable regions, such as dielectric, lossy, and plasmonic parts, are formulated rigorously with surface integral equations and solved iteratively via MLFMA. Using the hierarchical strategy for the parallelization, the developed implementation is capable of simul...
Benchmark Solutions of Large Problems for Evaluating Accuracy and Efficiency of Electromagnetics Solvers Gurel, Levent; Ergül, Özgür Salih (2011-07-08) We present a set of benchmark problems involving conducting spheres and their solutions using a parallel implementation of the multilevel fast multipole algorithm (MLFMA). Accuracy of the implementation is tested by comparing the computational results with analytical Mie-series solutions. Reference solutions are made available on an interactive website to evaluate and compare the accuracy and efficiency of fast solvers. We also demonstrate the capabilities of our solver on real-life problems involving compl...
Nested Iterative Solutions of Electromagnetic Problems Using Approximate Forms of the Multilevel Fast Multipole Algorithm Onol, Can; Ucuncu, Arif; Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2017-03-24) Nested iterative solutions using full and approximate forms of the multilevel fast multipole algorithm (MLFMA) are presented for efficient analysis of electromagnetic problems. The developed mechanism is based on preconditioning an iterative solution via another iterative solution, and this way, nesting multiple solutions as layers. The accuracy is systematically reduced from top to bottom by using the on-the-fly characteristics of MLFMA, as well as the iterative residual errors. As a demonstration, a three...

Citation Formats

Ö. S. Ergül, “Parallel-MLFMA Solutions of Large-Scale Problems Involving Composite Objects,” 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53936.