Multilevel Green's Function Interpolation Method Solution of Volume/Surface Integral Equation for Mixed Conducting/Bi-Isotropic Objects

Shi, Yan; Luan, Xiao; Qin, Jun; Lv, Chaojie; Liang, Chuntao

doi:10.2528/pier10060209

Cited by 14 publications

(12 citation statements)

References 31 publications

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“…In contrast to boundary element formulations [17,18], finite element formulations have as unknown the electromagnetic field (and not its sources). Thus, when dealing with open region problems, as in the case of scattering and radiation of electromagnetic waves, the problem domain is infinite.…”

Section: Introductionmentioning

confidence: 99%

A Comparison Between Pml, Infinite Elements and an Iterative Bem as Mesh Truncation Methods for Hp Self-Adaptive Procedures in Electromagnetics

Gomez-Revuelto¹,

Garcı́a-Castillo²,

Demkowicz³

2012

PIER

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Abstract-Finite element hp-adaptivity is a technology that allows for very accurate numerical solutions. When applied to open region problems such as radar cross section prediction or antenna analysis, a mesh truncation method needs to be used. This paper compares the following mesh truncation methods in the context of hp-adaptive methods: Infinite Elements, Perfectly Matched Layers and an iterative boundary element based methodology. These methods have been selected because they are exact at the continuous level (a desirable feature required by the extreme accuracy delivered by the hp-adaptive strategy) and they are easy to integrate with the logic of hpadaptivity. The comparison is mainly based on the number of degrees of freedom needed for each method to achieve a given level of accuracy. Computational times are also included. Two-dimensional examples are used, but the conclusions are directly extrapolated to the three dimensional case.

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Section: Introductionmentioning

confidence: 99%

A Comparison Between Pml, Infinite Elements and an Iterative Bem as Mesh Truncation Methods for Hp Self-Adaptive Procedures in Electromagnetics

Gomez-Revuelto¹,

Garcı́a-Castillo²,

Demkowicz³

2012

PIER

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“…Surface integral equation (SIE) formulations are commonly used to solve a wide range of electromagnetic problems [1][2][3][4][5]. The SIE can be set either in terms of fields or in terms of potentials, calling typically in both cases for the accurate evaluation of multidimensional singular integrals.…”

Section: Introductionmentioning

confidence: 99%

On the Analytic-Numeric Treatment of Weakly Singular Integrals on Arbitrary Polygonal Domains

Lopez-Pena¹,

Polimeridis

Mosig³

2011

PIER

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Abstract-An alternative analytical approach to calculate the weakly singular free-space static potential integral associated to uniform sources is presented. Arbitrary oriented flat polygons are considered as integration domains. The technique stands out by its mathematical simplicity and it is based on a novel integral transformation. The presented formula is equivalent to others existing in literature, being also concise and suitable within a singularity subtraction framework. Generalized Cartesian product rules built on the double exponential formula are utilized to integrate numerically the resulting analytical 2D potential integral. As a consequence, drawbacks associated to endpoint singularities in the derivative of the potential are tempered. Numerical examples within a surface integral equation-Method of Moments framework are finally provided.

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“…Because of the coupling relationship between the conductor and the dielectric, there are numerous computational complexities and memory requirement in the calculation. Various numerical methods, such as the Volume Integral Equations (VIEs) [1], the Surface Integral Equations (SIEs) [2,3], and the Impedance Boundary Condition (IBC) [4], have been developed to treat this kind of problem.…”

Section: Introductionmentioning

confidence: 99%

The Application of Modified Phase Extracted Basis Functions in Scattering Analysis of Dielectric-Coated Targets

Niu¹,

Nie²,

He³

2012

PIER

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Abstract-A novel basis function, called as the Modified Phase Extracted (MPE) basis function, has been proposed to analyze threedimensional scattering problems for electrically large, thin dielectriccoated targets. The MPE basis function, which can be defined on large (e.g., a wavelength or more) curvilinear geometrical elements, is developed for quadrilateral cells. Consequently, combining with the thin dielectric sheet (TDS) approximation, the MPE basis function solves the scattering problem accurately with fewer unknowns than the solutions based on the conventional basis functions. In order to improve the accuracy of the solution solving the problem which has thicker dielectric coatings, some modifications about the TDS approximation model are made. Numerical examples demonstrate that the validity of the proposed approach in solving the scattering from electrically large, thin coated objects.

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Multilevel Green's Function Interpolation Method Solution of Volume/Surface Integral Equation for Mixed Conducting/Bi-Isotropic Objects

Cited by 14 publications

References 31 publications

A Comparison Between Pml, Infinite Elements and an Iterative Bem as Mesh Truncation Methods for Hp Self-Adaptive Procedures in Electromagnetics

A Comparison Between Pml, Infinite Elements and an Iterative Bem as Mesh Truncation Methods for Hp Self-Adaptive Procedures in Electromagnetics

On the Analytic-Numeric Treatment of Weakly Singular Integrals on Arbitrary Polygonal Domains

The Application of Modified Phase Extracted Basis Functions in Scattering Analysis of Dielectric-Coated Targets

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