Higher Order Hybrid FEM-MoM Technique for Analysis of Antennas and Scatterers

Ilić, Milan M.; Djordjević, Miroslav L.; Ilić, Aleksandra; Notaroš, Branislav M.

doi:10.1109/tap.2009.2016725

Cited by 51 publications

(28 citation statements)

References 25 publications

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“…This method combines a specific location of the conforming degrees of freedom [20,28], an hybrid boundary integro-partial differential equation with conforming anisotropic hexahedra (such as in [16,17] for example), and a new integration technique (described in Sections 4.3 and 4.4). This technique is simple, does not demand further information on the mesh from the user, and makes the point-matching integral approach more reliable in the sense that it is less sensitive to the mesh discretization.…”

Section: Resultsmentioning

confidence: 99%

“…Therefore, our choice is not well-suited to face problems with highly contrasted adjacent media (in terms of relatives permeability l r and permittivity r ) by comparison with hierarchical functions [16][17][18][19]. Nevertheless, it is commonly admitted that high-order hierarchical methods lead to ill-conditioned systems (with the exception of the boundary method introduced in [18,19] when applied to rectangles, as it yields an orthogonal set of functions).…”

Section: Discussionmentioning

confidence: 99%

“…Our first example is taken from [16]: we consider a dielectric cube ( r = 4) of side length a = 0.3k 0 (k 0 is the free space wavelength), and we show the bistatic RCS for both hh and // polarizations in Fig. 9 (the HE formulation is employed together with a direct solver).…”

Section: Numerical Examples Within the Hybrid Methodsmentioning

confidence: 99%

“…Gauss-Lobatto rules are not as accurate as Gauss ones and a loss of accuracy may occur in (16). Indeed, the Gauss rule with p + 2 points is exact for polynomials up to degree 2p + 3, whereas the Gauss-Lobatto rule is exact up to degree 2p + 1.…”

Section: Improvement Of the Accuracy Of The Integrationmentioning

confidence: 99%

See 3 more Smart Citations

Fast and accurate point-based method for time-harmonic maxwell problems involving thin layer materials

Demaldent

Levadoux

Cohen

2011

Journal of Computational Physics

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Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Numerical Examples Within the Hybrid Methodsmentioning

confidence: 99%

Section: Improvement Of the Accuracy Of The Integrationmentioning

confidence: 99%

See 2 more Smart Citations

Fast and accurate point-based method for time-harmonic maxwell problems involving thin layer materials

Demaldent

Levadoux

Cohen

2011

Journal of Computational Physics

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“…However, their direct implementation can be computationally prohibitive in terms of CPU time and memory requirements. It is worth mentioning here the hybridization of rigorous and asymptotic high frequency methods in different forms for specific types of problems (e.g., [11][12][13][14][15]). …”

Section: Introductionmentioning

confidence: 99%

RCS Computation Using a Parallel in-Core and Out-of-Core Direct Solver

García-Doñoro

Martínez-Fernández

Garcı́a-Castillo

et al. 2011

PIER

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Abstract-Application to RCS computation of a higher order solver based on the surface integral approach is presented. The solver uses a direct method to solve the corresponding algebraic system of equations. Two versions of the solver are available: in-core and out-of-core. Both are efficiently implemented as parallel codes using Message Passing Interface libraries. Several benchmark structures are analyzed showing the reliability, performance, and versatility to run in a wide variety of computer platforms, of the solver. The results shown are illustrative of what is the maximum frequency of analysis of the structures for a given type of simulation platform.

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Lagrange‐type modeling of continuous dielectric permittivity variation in double‐higher‐order volume integral equation method

2015

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A novel double-higher-order entire-domain volume integral equation (VIE) technique for efficient analysis of electromagnetic structures with continuously inhomogeneous dielectric materials is presented. The technique takes advantage of large curved hexahedral discretization elements-enabled by double-higher-order modeling (higher-order modeling of both the geometry and the current)-in applications involving highly inhomogeneous dielectric bodies. Lagrange-type modeling of an arbitrary continuous variation of the equivalent complex permittivity of the dielectric throughout each VIE geometrical element is implemented, in place of piecewise homogeneous approximate models of the inhomogeneous structures. The technique combines the features of the previous double-higher-order piecewise homogeneous VIE method and continuously inhomogeneous finite element method (FEM). This appears to be the first implementation and demonstration of a VIE method with double-higher-order discretization elements and conformal modeling of inhomogeneous dielectric materials embedded within elements that are also higher (arbitrary) order (with arbitrary material-representation orders within each curved and large VIE element). The new technique is validated and evaluated by comparisons with a continuously inhomogeneous double-higher-order FEM technique, a piecewise homogeneous version of the double-higher-order VIE technique, and a commercial piecewise homogeneous FEM code. The examples include two real-world applications involving continuously inhomogeneous permittivity profiles: scattering from an egg-shaped melting hailstone and near-field analysis of a Luneburg lens, illuminated by a corrugated horn antenna. The results show that the new technique is more efficient and ensures considerable reductions in the number of unknowns and computational time when compared to the three alternative approaches.

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Higher Order Hybrid FEM-MoM Technique for Analysis of Antennas and Scatterers

Cited by 51 publications

References 25 publications

Fast and accurate point-based method for time-harmonic maxwell problems involving thin layer materials

Fast and accurate point-based method for time-harmonic maxwell problems involving thin layer materials

RCS Computation Using a Parallel in-Core and Out-of-Core Direct Solver

Lagrange‐type modeling of continuous dielectric permittivity variation in double‐higher‐order volume integral equation method

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