Questioning Degree of Accuracy Offered by the Spectral Element Method in Computational Electromagnetics

Date

2015-07-01

Author

Mahariq, I.
KURT, HAMZA
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

264
views

0
downloads

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 to answer the question: Do we need the high accuracy offered by the SEM in computational electromagnetics? The answer is supported by solving a typical, unbounded electromagnetic scattering problem in the frequency domain by the SEM. Domain truncation is performed by the well-known perfectly matched layer (PML).

Subject Keywords

Deformation; electromagnetic scattering; finite difference; finite element; photonic nanojet; spectral element method, Spectral element method, Deformation, Electromagnetic scattering, Finite difference, Finite element, Photonic nanojet

URI

https://hdl.handle.net/11511/52782

Journal

APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Investigation of nonplanar perfectly matched absorbers for finite-element mesh truncation Kuzuoğlu, Mustafa (1997-03-01) In this paper, we present a detailed theoretical and numerical investigation of the perfectly matched layer (PML) concept as applied to the problem of mesh truncation in the finite-element method (FEM), We show that it is possible to extend the Cartesian PML concepts involving half-spaces to cylindrical and spherical geometries appropriate for closed boundaries in two and three dimensions by defining lossy anisotropic layers in the relevant coordinate systems, By using the method of separation of variables,...
Analysis of RC walls with a mixed formulation frame finite element Sarıtaş, Afşin (2013-10-01) This paper presents a mixed formulation frame element with the assumptions of the Timoshenko shear beam theory for displacement field and that accounts for interaction between shear and normal stress at material level. Nonlinear response of the element is obtained by integration of section response, which in turn is obtained by integration of material response. Satisfaction of transverse equilibrium equations at section includes the interaction between concrete and transverse reinforcing steel. A 3d plastic...
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...
Least-squares finite element solution of Euler equations with H-type mesh refinement and coarsening on triangular elements AKARGUN, Hayri Yigit; Sert, Cüneyt (2014-01-01) Purpose - The purpose of this paper is to demonstrate successful use of least-squares finite element method (LSFEM) with h-type mesh refinement and coarsening for the solution of two-dimensional, inviscid, compressible flows.
On the Attenuation of the Perfectly Matched Layer in Electromagnetic Scattering Problems with the Spectral Element Method Mahariq, I.; Kuzuoğlu, Mustafa; Tarman, Işık Hakan (2014-09-01) Although Spectral Element Method (SEM) has been applied in the modeling of boundary value problems of electromagnetics, its usage is not as common as the Finite Element or Finite Difference approaches in this area. It is well-known that the Perfectly Matched Layer (PML) approach is a mesh/grid truncation method in scattering or radiation applications where the spatial domain is unbounded. In this paper, the PML approach in the SEM context is investigated in two-dimensional, frequency-domain scattering probl...

Citation Formats

I. Mahariq, H. KURT, and M. Kuzuoğlu, “Questioning Degree of Accuracy Offered by the Spectral Element Method in Computational Electromagnetics,” APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL, pp. 698–705, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52782.