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A broadband multilevel fast multipole algorithm with incomplete leaf tree structures for multiscale electromagnetic problems
Date
2016-04-15
Author
Takrımı, Manouchehr
Ergül, Özgür Salih
Erturk, Vakur
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https://hdl.handle.net/11511/79747
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A Broadband Multilevel Fast Multipole Algorithm with Incomplete-Leaf Tree Structures for Multiscale Electromagnetic Problems
Takrimi, Manouchehr; Ergül, Özgür Salih; Erturk, Vakur B. (2016-04-15)
An efficient, broadband, and accurate multilevel fast multipole algorithm (MLFMA) is proposed to solve a wide range of multiscale electromagnetic problems with orders of magnitude differences in the mesh sizes. Given a maximum RWG population threshold, only overcrowded boxes are recursively bisected into smaller ones, which leads to novel incomplete-leaf tree structures. Simulations reveal that, for surface discretizations possessing highly overmeshed local regions, the proposed method presents a more effic...
A Novel Broadband Multilevel Fast Multipole Algorithm With Incomplete-Leaf Tree Structures for Multiscale Electromagnetic Problems
Takrimi, Manouchehr; Ergül, Özgür Salih; Erturk, Vakur B. (2016-06-01)
An efficient and versatile broadband multilevel fast multipole algorithm (MLFMA), which is capable of handling large multiscale electromagnetic problems with a wide dynamic range of mesh sizes, is presented. By invoking a novel concept of incomplete-leaf tree structures, where only the overcrowded boxes are divided into smaller ones for a given population threshold, versatility of using variable-sized boxes is achieved. Consequently, for geometries containing highly overmeshed local regions, the proposed me...
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M. Takrımı, Ö. S. Ergül, and V. Erturk, “A broadband multilevel fast multipole algorithm with incomplete leaf tree structures for multiscale electromagnetic problems,” 2016, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/79747.