Comparison of linear and quadratic hexahedral edge elements in electromagnetic scattering problems

Date

2008-01-01

Author

Yılmaz, Ayşen
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

214
views

0
downloads

In this article, performances of linear and quadratic hexahedral edge elements are compared in the context of electromagnetic scattering problems. The de-facto standard of 0.1 lambda element size for linear elements is taken as a basis; and 0.3 to 0.4 lambda-size quadratic element usage is proposed for a better accuracy level with dramatic reduction in computation time and 7 memory. The proposed scheme is applied to some well-known practical problems. (c) 2007 Elsevier GmbH. All rights reserved.

Subject Keywords

Electromagnetic scattering, Finite-element method, Non-Uniform mesh generation, Hexahedral edge elements, Quadratic elements

URI

https://hdl.handle.net/11511/31861

Journal

AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS

DOI

https://doi.org/10.1016/j.aeue.2007.08.002

Collections

Graduate School of Natural and Applied Sciences, Article

Suggestions

OpenMETU
Core

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 ...
Modeling of the nonlinear behavior of steel framed structures with semi rigid connections Sarıtaş, Afşin; Özel, Halil Fırat (null; 2015-07-21) A mixed formulation frame finite element with internal semi-rigid connections is presented for the nonlinear analysis of steel structures. Proposed element provides accurate responses for spread of inelasticity along element length by monitoring the nonlinear responses of several crosssections, where spread of inelasticity over each section is captured with fiber discretization. Each material point on the section considers inelastic coupling between normal stress and shear stress. The formulation of the ele...
Multiscale Modeling of Thin-Wire Coupling Problems Using Hybridization of Finite Element and Dipole Moment Methods and GPU Acceleration ÖZGÜN, ÖZLEM; Mittra, Raj; Kuzuoğlu, Mustafa (2020-01-01) 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...
MUTUAL COUPLING EFFECTS OF FINITE RECTANGULAR PHASED-ARRAYS YAVUZ, H; BUYUKDURA, OM (1994-04-14) A rigorous integral equation formulation for the analysis of a phased array of flangemounted waveguide apertures is given for a finite number of elements and nonuniform spacings. The resulting set of ihtegrd equations is reduced to a matrix equation called the coupling matrix which relates the coefficients of all the modes in all the waveguides to one another. The solution then yields the dominant mode reflection coefficient, coefficients of scattered modes and hence the field in each waveguide. The blockTo...
FEM APPROXIMATION OF MAXWELL EQUATIONS: THE SOURCE PROBLEM, EIGENPROBLEM, AND ELECTROMAGNETIC WAVES Dağlı, Tugay; Türk, Önder; Department of Scientific Computing (2023-1-25) In this thesis, edge-based finite element method (FEM) approximations of Maxwell's equations describing the relationship between the space variables and sources along the electromagnetic field are considered. In particular, the lowest-order Nédélec basis functions are implemented to construct the FEM model of the Maxwell source problem, Maxwell eigenvalue problem (EVP), and electromagnetic wave propagation problem. A computational model is constructed to conduct all these problems in the same framework of a...

Citation Formats

A. Yılmaz and M. Kuzuoğlu, “Comparison of linear and quadratic hexahedral edge elements in electromagnetic scattering problems,” AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, pp. 582–587, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31861.