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
Multiscale Modeling of Thin-Wire Coupling Problems Using Hybridization of Finite Element and Dipole Moment Methods and GPU Acceleration
Date
2020-01-01
Author
ÖZGÜN, ÖZLEM
Mittra, Raj
Kuzuoğlu, Mustafa
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
304
views
0
downloads
Cite This
In this article, a hybrid numerical method, called finite element method (FEM) + dipole moment (DM), is presented for efficient solution of multiscale electromagnetic radiation and scattering problems that involve structures with fine features, such as thin-wire antennas or objects. In this method, the FEM is hybridized with the DM approach to help ease certain computational burdens, such as mesh refinement, ill-conditioning, memory overload, and long computation times, when solving multiscale problems with adequate numerical precision. Although the FEM+DM method is referred to as a single algorithm above, it is actually comprised of several different hybridization and/or implementation approaches. Two hybridization approaches are described, each tailored to the type of problem, e.g., radiation or scattering. Furthermore, both iterative and noniterative (self-consistent) implementations of the FEM+DM method are discussed. One of the important characteristics of the proposed method is that it can easily be parallelized to accelerate the speed of computation, thanks to the use of DMs for handling fine features as well as for modeling mutual interactions. The hybrid method with different hybridization/implementation approaches has been implemented in an in-house code by using graphics processing unit programming in MATLAB. Several numerical results are generated by the proposed method and are compared to those obtained from a commercial electromagnetic solver.
Subject Keywords
Finite element analysis
,
Wires
,
Dipole antennas
,
Mathematical model
,
Graphics processing units
,
Iterative methods
,
Method of moments
,
Dipole moment (DM)
,
Electromagnetic radiation
,
Electromagnetic scattering
,
Finite element method (FEM)
,
Graphics processing unit (GPU)
,
Multiscale problem
,
Thin antenna
,
Thin wire
URI
https://hdl.handle.net/11511/40651
Journal
IEEE JOURNAL ON MULTISCALE AND MULTIPHYSICS COMPUTATIONAL TECHNIQUES
DOI
https://doi.org/10.1109/jmmct.2020.3013236
Collections
Department of Electrical and Electronics Engineering, Article
Suggestions
OpenMETU
Core
Numerical Solution of Multi-scale Electromagnetic Boundary Value Problems by Utilizing Transformation-Based Metamaterials
Ozgun, Ozlem; Kuzuoğlu, Mustafa (2011-06-23)
We present numerical solution techniques for efficiently handling multi-scale electromagnetic boundary value problems having fine geometrical details or features, by utilizing spatial coordinate transformations. The principle idea is to modify the computational domain of the finite methods (such as the finite element or finite difference methods) by suitably placing anisotropic metamaterial structures whose material parameters are obtained by coordinate transformations, and hence, to devise easier and effic...
Questioning Degree of Accuracy Offered by the Spectral Element Method in Computational Electromagnetics
Mahariq, I.; KURT, HAMZA; Kuzuoğlu, Mustafa (2015-07-01)
In this paper, a comparison amongst the spectral element method (SEM), the finite difference method (FDM), and the first-order finite element method (FEM) is presented. For the sake of consistency, the comparison is carried out on one-dimensional and two-dimensional boundary value problems based on the same measure of error in order to emphasize on the high accuracy gained by the SEM. Then, the deterioration in the accuracy of the SEM due to the elemental deformation is demonstrated. Following this, we try ...
Implementation of coordinate transformations in periodic finite-element method for modeling rough surface scattering problems
ÖZGÜN, ÖZLEM; Kuzuoğlu, Mustafa (2016-05-01)
The coordinate transformation technique (with its current name of transformation electromagnetics) is applied to the finite-element method (FEM) with periodic boundary conditions for efficient Monte Carlo simulation of one-dimensional random rough surface scattering problems. In a unit cell of periodic structure, two coordinate transformations are used, one of which is a real transformation designed to model the rough surface with flat surface, and the other is a complex transformation used to design a perf...
Recursive Two-Way Parabolic Equation Approach for Modeling Terrain Effects in Tropospheric Propagation
Ozgun, Ozlem (2009-09-01)
The Fourier split-step method is a one-way marching-type algorithm to efficiently solve the parabolic equation for modeling electromagnetic propagation in troposphere. The main drawback of this method is that it characterizes only forward-propagating waves, and neglects backward-propagating waves, which become important especially in the presence of irregular surfaces. Although ground reflecting boundaries are inherently incorporated into the split-step algorithm, irregular surfaces (such as sharp edges) in...
Numerical Modeling of Electromagnetic Scattering from Periodic Structures by Transformation Electromagnetics
ÖZGÜN, ÖZLEM; Kuzuoğlu, Mustafa (2016-09-22)
The transformation electromagnetics is applied to the modeling of electromagnetic scattering from periodic structures in conjunction with the finite element method with periodic boundary conditions. In a unit cell of periodic structure, a uniform mesh is used over a flat surface and the arbitrary periodic surface is modeled by a coordinate transformation. The major advantage of this approach is that arbitrary geometries can be handled by using a single and simple mesh. Therefore, repeated computations (such...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
Ö. ÖZGÜN, R. Mittra, and M. Kuzuoğlu, “Multiscale Modeling of Thin-Wire Coupling Problems Using Hybridization of Finite Element and Dipole Moment Methods and GPU Acceleration,”
IEEE JOURNAL ON MULTISCALE AND MULTIPHYSICS COMPUTATIONAL TECHNIQUES
, pp. 155–166, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40651.