Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
A Broadband Multilevel Fast Multipole Algorithm with Incomplete-Leaf Tree Structures for Multiscale Electromagnetic Problems
Download
index.pdf
Date
2016-04-15
Author
Takrimi, Manouchehr
Ergül, Özgür Salih
Erturk, Vakur B.
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
165
views
67
downloads
Cite This
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 efficient and/or accurate results than the conventional MLFMA. The key feature of such a population-based clustering scenario is that the error is controllable, and hence, regardless of the number of levels, the efficiency can be optimized based on the population threshold. Numerical examples are provided to demonstrate the superior efficiency and accuracy of the proposed algorithm in comparison to the conventional MLFMA.
Subject Keywords
Broadband solvers
,
Multilevel fast multipole algorithm
,
Incomplete leaf
,
Multiscale problems
URI
https://hdl.handle.net/11511/39066
DOI
https://doi.org/10.1109/eucap.2016.7481237
Conference Name
10th European Conference on Antennas and Propagation (EuCAP)
Collections
Department of Electrical and Electronics Engineering, Conference / Seminar
Suggestions
OpenMETU
Core
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...
Broadband Multilevel Fast Multipole Algorithm Based on an Approximate Diagonalization of the Green's Function
Ergül, Özgür Salih (2015-07-01)
We present a broadband multilevel fast multipole algorithm (MLFMA) for fast and efficient solutions of three-dimensional multiscale problems involving large objects with dense discretizations. The proposed solver is based on the approximate diagonalization of the Green's function using scaled spherical and plane waves, leading to stable interaction computations for arbitrarily short distances in terms of wavelength. Despite contradictory requirements on the scaling factor that limit the accuracy of the diag...
A Broadband Electromagnetic Solver Based on Multiscale MLFMA and Hybrid Integral Equations
Karaosmanoglu, Bariscan; Tonga, Muhammed; Ergül, Özgür Salih (2018-11-02)
We present a fully broadband solver for fast and accurate solutions of multiscale electromagnetic problems involving both coarse and fine details. The implementation is based on a multiscale multilevel fast multipole algorithm that employs low-frequency and high-frequency expansions at suitable levels of incomplete tree structures. In addition, hybrid integral equations are used to properly formulate scattering and radiation problems in the frequency domain. Numerical results demonstrate the superior accura...
Efficient and Accurate Electromagnetic Optimizations Based on Approximate Forms of the Multilevel Fast Multipole Algorithm
Onol, Can; Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2016-01-01)
We present electromagnetic optimizations by heuristic algorithms supported by approximate forms of the multilevel fast multipole algorithm (MLFMA). Optimizations of complex structures, such as antennas, are performed by considering each trial as an electromagnetic problem that can be analyzed via MLFMA and its approximate forms. A dynamic accuracy control is utilized in order to increase the efficiency of optimizations. Specifically, in the proposed scheme, the accuracy is used as a parameter of the optimiz...
Incomplete-Leaf Multilevel Fast Multipole Algorithm for Multiscale Penetrable Objects Formulated With Volume Integral Equations
Takrimi, Manouchehr; Ergül, Özgür Salih; ERTÜRK, VAKUR BEHÇET (2017-09-01)
Recently introduced incomplete-leaf (IL) tree structures for multilevel fast multipole algorithm (referred to as IL-MLFMA) is proposed for the analysis of multiscale inhomogeneous penetrable objects, in which there are multiple orders of magnitude differences among the mesh sizes. Considering a maximum Schaubert-Wilton-Glisson function population threshold per box, only overcrowded boxes are recursively divided into proper smaller boxes, leading to IL tree structures consisting of variable box sizes. Such a...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
M. Takrimi, Ö. S. Ergül, and V. B. Erturk, “A Broadband Multilevel Fast Multipole Algorithm with Incomplete-Leaf Tree Structures for Multiscale Electromagnetic Problems,” presented at the 10th European Conference on Antennas and Propagation (EuCAP), Davos, SWITZERLAND, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39066.