New (e,h) formulation coupling a finite element method and a boundary integral method for the computation of the interaction of waves with a conducting domain

Daveau, Christian; Rioux‐Damidau, F.

doi:10.1109/20.748848

Cited by 2 publications

(4 citation statements)

References 5 publications

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“…Furthermore, no information was provided on the singularity extraction from BEM part. Daveau 30 correctly couples edge element BEM and FEM, however, their formulation is dependent on the penetration depth (due to skin effect). In Daveau's work the current density is the function of penetration depth of electric field.…”

Section: Introductionmentioning

confidence: 99%

On the edge element boundary element method/finite element method coupling for time harmonic electromagnetic scattering problems

Dodig

Poljak

Cvetković

2021

Numerical Meth Engineering

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Over recent decades coupled MoM/FEM formulation emerged as dominant method for solving EM scattering problems over inhomogeneous domains. Initial efforts on coupling of edge element BEM with edge element FEM have lost momentum and somehow disappeared from recent literature, possibly because of mathematical and other issues. This article, however, presents correct coupling of edge element BEM with edge element FEM. Such coupling is convenient because edge basis functions are used for modeling both the surface and the interior of the problem. We show that singularity extraction is simpler when compared with singularity extraction in MoM/FEM. Because BEM part of edge element BEM/FEM formulation uses simpler Green's function, the method is easier to implement than MoM/FEM which uses Dyadic Green's functions. The accuracy of the method is demonstrated by comparison with Mie series and with MoM/FEM and MoM/VSIE methods. Convergence of the method with respect to number of surface and interior edges was investigated by comparing 20 computational models with Mie series. Computational results suggest that edge‐element BEM/FEM performs well for scattering problems involving objects with sharp corners. Finally, the ability of the method to cope with relatively large number of elements was demonstrated on the example of human head illuminated by 3.5 GHz EM plane wave.

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Section: Introductionmentioning

confidence: 99%

On the edge element boundary element method/finite element method coupling for time harmonic electromagnetic scattering problems

Dodig

Poljak

Cvetković

2021

Numerical Meth Engineering

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“…Unlike [6], and inside the target cannot be calculated together, and therefore the quadratic relative errors [6] cannot be computed. However, we can calculate the scattering electric field with different meshes as shown in Fig.…”

Section: B Scattering Field At High Frequencymentioning

confidence: 99%

“…Such a coefficient in one field may become very dominant when the displacement current becomes negligible and the contribution of the other EM fields in the same formula could then be overshadowed. Daveau et al [6] also mention that such formulations are not applicable readily at low frequency.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, the FEM-BEM formulation in [3] may not solve high-frequency EM problems because the effect of displacement current has been excluded. The coefficients in the electric field integral equation (EFIF) in [4] and (15) in [6] are frequency dependent. Such a coefficient in one field may become very dominant when the displacement current becomes negligible and the contribution of the other EM fields in the same formula could then be overshadowed.…”

Section: Introductionmentioning

confidence: 99%

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Edge-based FEM-BEM for wide-band electromagnetic computation

et al. 2006

IEEE Trans. Magn.

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Edge-based finite element method-boundary element method (FEM-BEM) for the computation of three-dimensional (3-D) electromagnetic fields at high and low frequencies is presented. A novel H-A model that includes the differential and integral equations for wide-band electromagnetic problems is described. An edge element method is implemented to discretize the proposed formulation. A surface edge element method (SEEM) for surface of arbitrary shape targets is derived according to the geometrical properties of the basis functions. Unlike traditional electromagnetic formulations, the major coefficients of the proposed formulation in this model are frequency independent and hence the model can be used to solve electromagnetic problems over a wide range of frequencies. The proposed method is implemented to compute: 1) the electromagnetic induction problems at low frequencies and 2) the scattering fields at high frequency. Results from established methods are used to validate the proposed method.Index Terms-Edge-based FEM-BEM, electromagnetic induction, scattering field, surface edge element method.

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New (e,h) formulation coupling a finite element method and a boundary integral method for the computation of the interaction of waves with a conducting domain

Cited by 2 publications

References 5 publications

On the edge element boundary element method/finite element method coupling for time harmonic electromagnetic scattering problems

On the edge element boundary element method/finite element method coupling for time harmonic electromagnetic scattering problems

Edge-based FEM-BEM for wide-band electromagnetic computation

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