2006
DOI: 10.2200/s00019ed1v01y200604cem004
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Introduction to the Finite Element Method in Electromagnetics

Abstract: This series lecture is an introduction to the finite element method with applications in electromagnetics. The finite element method is a numerical method that is used to solve boundary-value problems characterized by a partial differential equation and a set of boundary conditions. The geometrical domain of a boundary-value problem is discretized using sub-domain elements, called the finite elements, and the differential equation is applied to a single element after it is brought to a "weak" integro-different… Show more

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Cited by 81 publications
(57 citation statements)
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“…As illustrated in Figure 7 for a nanorod dimer, this hybridization model offers a good explanation for both the hot spot formation and the red shift in plasmon resonance wavelength. The hybridized plasmon modes in a dimer can be monitored by directly solving Maxwell's equations numerically using techniques such as finite-difference time-domain (FDTD) [91] or finite-element method (FEM) [92]. Nevertheless, it is always profitable to seek for a theoretical model that could provide deeper insights on the physics governing the hybridization.…”
Section: Strongly Coupled Plasmonic Nanostructures 231 Dimersmentioning
confidence: 99%
“…As illustrated in Figure 7 for a nanorod dimer, this hybridization model offers a good explanation for both the hot spot formation and the red shift in plasmon resonance wavelength. The hybridized plasmon modes in a dimer can be monitored by directly solving Maxwell's equations numerically using techniques such as finite-difference time-domain (FDTD) [91] or finite-element method (FEM) [92]. Nevertheless, it is always profitable to seek for a theoretical model that could provide deeper insights on the physics governing the hybridization.…”
Section: Strongly Coupled Plasmonic Nanostructures 231 Dimersmentioning
confidence: 99%
“…The FEM model could solve non-linear problems through the discretization process, in which continuous problems are converted into discrete problems (Casadei, Gabellini 1997;Koo et al 2014c;Polycarpou 2006;Seo et al 2015, Stromberg et al 2012Unger et al 2006). Generally, the FEM model could be established in three processes: (i) determination of the finite element; (ii) determination of the shape function; and (iii) development of the interpolation function.…”
Section: Step 3: Estimation Of the Madsr Data In The 89 Unmeasured Lomentioning
confidence: 99%
“…Through this paper, the finite element method (FEM) [23][24][25][26] is used to demonstrate the tag antenna performance.…”
Section: Fractal Antenna; Structure and Analysismentioning
confidence: 99%