Efficient Multilayer Iterative Solutions of Electromagnetic Problems Using Approximate Forms of the Multilevel Fast Multipole Algorithm

Date

2017-01-01

Author

Onol, Can
Ucuncu, Arif
Ergül, Özgür Salih

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We consider efficient iterative solutions of large-scale electromagnetic problems involving metallic objects. For fast iterative solutions, a multilayer scheme using approximate forms of the multilevel fast multipole algorithm is developed. The approach is based on preconditioning each layer with iterative solutions at a lower layer, while the accuracy is changed from the top layer to the bottom layer. As opposed to the conventionally used algebraic preconditioners, the multilayer scheme: 1) does not require significant setup costs for large problems, and 2) does not require any additional memory. In addition, it can provide faster solutions, especially for large problems. The advantages of multilayer solutions are shown on canonical and complex geometries formulated with the combined field integral equation.

Subject Keywords

Preconditioning, Multilevel fast multipole algorithm (MLFMA), Large-scale problems, Iterative solutions

URI

https://hdl.handle.net/11511/41592

Journal

IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS

DOI

https://doi.org/10.1109/lawp.2017.2771523

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

C. Onol, A. Ucuncu, and Ö. S. Ergül, “Efficient Multilayer Iterative Solutions of Electromagnetic Problems Using Approximate Forms of the Multilevel Fast Multipole Algorithm,” IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, pp. 3253–3256, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41592.