A non-overlapping domain decomposition method with non-matching grids for modeling large finite antenna arrays

Lee, Seung‐Cheol; Vouvakis, Marinos N.; Lee, Jin‐Fa

doi:10.1016/j.jcp.2004.08.004

Cited by 224 publications

(137 citation statements)

References 24 publications

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“…Then the solutions are stitched together using relevant boundary conditions at the interfaces. More recently, the use of domain decomposition method divides a larger problem into union of smaller problems and the solutions of the smaller problems can be sewn together using boundary conditions (see [42] and references therein).…”

Section: Boundary Conditions For the Potentialsmentioning

confidence: 99%

VECTOR POTENTIAL ELECTROMAGNETICS WITH GENERALIZED GAUGE FOR INHOMOGENEOUS MEDIA: FORMULATION (Invited Paper)

Chew¹

2014

PIER

122

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Abstract-The mixed vector and scalar potential formulation is valid from quantum theory to classical electromagnetics. The present rapid development in quantum optics applications calls for electromagnetic solutions that straddle both the quantum and classical physics regimes. The vector potential formulation using A and Φ (or A-Φ formulation) is a good candidate to bridge these two regimes. Hence, there is a need to generalize this formulation to inhomogeneous media. A generalized gauge is suggested for solving electromagnetics problems in inhomogenous media that can be extended to the anistropic case. An advantage of the resulting equations is their absence of catastrophic breakdown at low-frequencies. Hence, the usual differential equation solvers can be used to solve them over a wide range of scales and bandwidth. It is shown that the interface boundary conditions from the resulting equations reduce to those of classical Maxwell's equations. Also, the classical Green's theorem can be extended to such a formulation, resulting in an extinction theorem and a surface equivalence principle similar to the classical case. Moreover, surface integral equation formulations can be derived for piecewise homogeneous scatterers. Furthermore, the integral equations neither exhibit the low-frequency catastrophe nor the frequency imbalance observed in the classical formulation using E-H fields. The matrix representation of the integral equation for a PEC (perfect electric conductor) scatterer is given.

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Section: Boundary Conditions For the Potentialsmentioning

confidence: 99%

VECTOR POTENTIAL ELECTROMAGNETICS WITH GENERALIZED GAUGE FOR INHOMOGENEOUS MEDIA: FORMULATION (Invited Paper)

Chew¹

2014

PIER

122

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“…The development of powerful time-domain solvers for contemporary electromagnetic compatibility (EMC) applications is solidly related to the correct representation of their size by the suitable spatial sampling rates [1][2][3][4][5][6][7][8][9][10]. Considering that their overall size should be frequently reconfigured to comply with modern standards and several prototypes must be devised prior to the selection of the final design parameters, the use of rigorous discrete models seems a very attractive means to restrict high fabrication costs.…”

Section: Introductionmentioning

confidence: 99%

Combined FVTD/PSTD Schemes with Enhanced Spectral Accuracy for the Design of Large-Scale EMC Applications

Kantartzis

Dimitriadis

Tsiboukis

2012

AEM

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A generalized conformal time-domain method with adjustable spectral accuracy is introduced in this paper for the consistent analysis of large-scale electromagnetic compatibility problems. The novel 3-D hybrid schemes blend a stenciloptimized finite-volume time-domain and a multimodal Fourier-Chebyshev pseudo-spectral time-domain algorithm that split the overall space into smaller and flexible areas. A key asset is that both techniques are updated independently and interconnected by robust boundary conditions. Also, combining a family of spatial derivative approximators with controllable precision in general curvilinear coordinates, the proposed method launches a conformal field flux formulation to derive electromagnetic quantities in regions with fine details. For advanced grid reliability at dissimilar media interfaces, dispersion-reduced adaptive operators, which assign the proper weights to each spatial increment, are developed. So, the resulting discretization yields highly rigorous and computationally affordable simulations, devoid of lattice errors. Numerical results, addressing detailed comparisons of various realistic applications with reference or measurement data verify our methodology and reveal its significant applicability.

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“…The finite element (FEM) and finite difference (FD) methods have been used as the solvers of each subdomain [2,3]. In this paper, a domain decomposition scheme based on the equivalence theorem and the method of moments (MOM) is introduced.…”

Section: Introductionmentioning

confidence: 99%

A domain decomposition scheme to solve integral equations using equivalent surfaces

Chew

Jiang³

2006

2006 IEEE Antennas and Propagation Society International Symposium

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A non-overlapping domain decomposition method with non-matching grids for modeling large finite antenna arrays

Cited by 224 publications

References 24 publications

VECTOR POTENTIAL ELECTROMAGNETICS WITH GENERALIZED GAUGE FOR INHOMOGENEOUS MEDIA: FORMULATION (Invited Paper)

VECTOR POTENTIAL ELECTROMAGNETICS WITH GENERALIZED GAUGE FOR INHOMOGENEOUS MEDIA: FORMULATION (Invited Paper)

Combined FVTD/PSTD Schemes with Enhanced Spectral Accuracy for the Design of Large-Scale EMC Applications

A domain decomposition scheme to solve integral equations using equivalent surfaces

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