Hybrid Finite Element Methods for Array and FSS Analysis Using Multiresolution Elements and Fast Integral Techniques

Volakis, John L.; Eibert, Thomas F.; Filipović, Dejan S.; Erdemli, Y.E.; Topsakal, Erdem

doi:10.1080/02726340290083905

Cited by 11 publications

(10 citation statements)

References 21 publications

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“…The shift, in Fig.8 between our results and those of [1] and CST, at low frequencies, is not due to the RC but to the FE spatial discretisation accuracy, i.e. more accurate results are expected if the mesh is refined and higher order elements are employed [21,22]. In [23] (page 392) a similar shift is obtained between two sets of results when modeling a similar structure.…”

Section: Numerical Resultssupporting

confidence: 64%

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Faster 3D finite element time domain – Floquet absorbing boundary condition modelling using recursive convolution and vector fitting

Cai

Mias

2009

IET Microw. Antennas Propag.

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Section: Numerical Resultssupporting

confidence: 64%

“…Furthermore, for a given number of finite elements, more accurate results are obtained by using higher order elements. This is illustrated in references [21,22].…”

Section: Numerical Resultsmentioning

confidence: 99%

Faster 3D finite element time domain – Floquet absorbing boundary condition modelling using recursive convolution and vector fitting

Cai

Mias

2009

IET Microw. Antennas Propag.

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“…3) Stage 3: Evaluating at the Actual Observers: The far-field potential at all observers is obtained by interpolating from the potential at the observation grid: (11) where are interpolations coefficients similar to those for the source grid. The computational cost of this stage scales as .…”

Section: Evaluation Of the Far-field Periodic Potentialmentioning

confidence: 99%

“…2) allows using FFTs to accelerate computations in both low-and high-frequency regimes. The choice of uniform grids still allows for a seamless handling of non-uniform source-observer distributions (e.g., in (10) and in (11) can have any distribution).…”

Section: Evaluation Of the Far-field Periodic Potentialmentioning

confidence: 99%

Fast Periodic Interpolation Method for Periodic Unit Cell Problems

Orden

Lomakin

2010

IEEE Trans. Antennas Propagat.

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A fast periodic interpolation method (FPIM) is presented for rapidly computing fields in a unit cell of an infinitely periodic array. For low and moderate frequencies (for unit cells smaller than or on the order of the wavelength) the FPIM has the computational cost of ( ) and it requires only (1) periodic Green's function (PGF) evaluations, for sources and observers. For high-or mixed-frequencies the computational cost scales aswhere is the domain size within the unit cell and is the wavelength. FPIM is based on splitting the field into the near-field from the sources around the unit cell and the far-field from the remaining sources. The near-field component can be evaluated rapidly using any available fast method. The far-field component is computed by tabulating the PGF at sparse source and observer grids, using this table to calculate the field at the observation grid, and interpolating from the observation grid to the actual observers. The FPIM is kernel independent and allows using any method for evaluating the PGF, including simple Floquet expansions. The computational times can be comparable to those of conventional (non-periodic) -body electromagnetic problems. The presented method can be used to accelerate integral equations for periodic unit cell problems with many applications in microwave engineering and optics. Diego, where he currently holds the position of Associate Professor. His research interests include computational electromagnetics, micromagnetics, the analysis of microwave phenomena on structured surfaces, the analysis of optical phenomena in photonic nanostructures, and the analysis of magnetization dynamics in magnetic nanostructures.

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“…(3) Presumptuous that E placates certain frontier conditions on the exterior S that encircles the calculation area V , it can be shown that the unique delinquency is equal to the subsequent variation delinquency [9]: δF(E) = 0 (4) where + exterior integral terms (5) where the exterior integral terms are the outcomes of impressive parallel frontier conditions. This subsection only deliberate on the inner share of the delinquency.…”

mentioning

confidence: 99%

Internet Data Bandwidth Optimization and Prediction in Higher Learning Institutions Using Lagrange’s Interpolation: A Case of Lagos State University of Science and Technology

2023

CEIS

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Episodic edifices have a diversity of significant solicitations in contemporary machineries and engineering owing to their exclusive electromagnetic properties. Frequently used episodic edifices comprise; occurrence selective surfaces, visual grilles, phased collection projections, photonic bandgap supplies, and numerous metamaterials. The scrutiny of episodic edifices has all the time been a significant area in computational electromagnetics. This episode, describes a precise and effectual arithmetical study, grounded on a higher-order finite element method (FEM), for depicting the electromagnetic properties of an episodic edifices. Grounded on the Floquet theory, episodic frontier conditions and radioactivity conditions are foremost resultant for the unit cell of an episodic edifice. The FEM is formerly applied to unravel Maxwell's reckonings in the unit cell. To augment the precision and effectiveness of the FEM, rounded elements are employed to discretize the unit cell and higherorder course basis functions are used to enlarge the electrical arena. The asymptotic waveform evaluation (AWE) is applied to implement wild frequency and rawboned curves. To prove the proficiency of the projected FEM, we apply it to the scrutiny of episodic absorbers, incidence selective edifices, and phased collection aerial. For the aerial analysis, a severe waveguide port condition is industrialized to precisely model the aerial feed edifices. In all the occurrences premeditated, acceptable outcomes are obtained. IntroductionEpisodic edifices have been widely used in electromagnetic engineering. The periodicity in the geometry is habitually subjugated to attain certain desired electromagnetic properties, such as incidence selective performances, which are not attainable in the case of a single component. Numerous heat and visual strategies, such as anechoic compartment absorbers, incidence selective edifices, and phased collection projections, fall into this kind. Arithmetical scrutiny of episodic edifices has been accepted with a diversity of arithmetical approaches, such as the moment technique, the finiteelement method (FEM), and the finite-difference timedomain (FDTD) method. Midst these approaches, the FEM surpasses with demonstrating complex geometry and substantial inhomogeneity. The technique is also adaptable in its capacity to integrate diverse kinds of frontier conditions and diverse excitation approaches deprived of suggestively affecting its structure. The FEM modeling of episodic edifices has been described in prose for mutually scattering [1]-[5] and radioactivity [6][8] scrutinizes. This episode, describes a vigorous, higher-order FEM formulation to perfect substantially episodic collection edifices. By means of imposing suitable radioactivity frontier conditions and episodic frontier conditions, the computation area is narrowed to a solitary unit cell in the immeasurable collection. The unit cell inner area is discretized by wavy tetrahedral rudiments for an improved geometry modeling. The electromagnetic arena is...

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Hybrid Finite Element Methods for Array and FSS Analysis Using Multiresolution Elements and Fast Integral Techniques

Abstract: Hierarchical mixed-order tangential vector nite elements (TVFEs

Cited by 11 publications

References 21 publications

Faster 3D finite element time domain – Floquet absorbing boundary condition modelling using recursive convolution and vector fitting

Faster 3D finite element time domain – Floquet absorbing boundary condition modelling using recursive convolution and vector fitting

Fast Periodic Interpolation Method for Periodic Unit Cell Problems

Internet Data Bandwidth Optimization and Prediction in Higher Learning Institutions Using Lagrange’s Interpolation: A Case of Lagos State University of Science and Technology

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