Combined formulation for meshless-MoM hybrid method applied to 2D electromagnetic scattering

Resende, Úrsula C.; Moreira, Fernando J. S.; Afonso, Mareio M.; Coppoli, Eduardo H. R.

doi:10.1109/cefc.2016.7815957

Cited by 2 publications

(6 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In (10) and (20), the integrals were evaluated using only 1 point (middle point). For the integral in (9), an auxiliary rectangular cell structure was used in the calculations. To improve the coupling between internal and external subproblems, near the scatterer's surface, a larger number of Gauss integration points were adopted.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Equations (14) to (16) correspond to the EFIE (11) while (17) to (19) correspond to the MFIE (12). These sets of equations can be used individually, eg, (14) to (16) as in Resende et al, 9 or combined 3 to solve the equivalent external subproblem.…”

Section: Mom Formulation-external Subproblemmentioning

confidence: 99%

“…Therefore, the development of hybrid methods combining meshless methods, which do not require a mesh structure, and MoM, with unknowns to be determined only at the scatterer's surface, is an attractive way to deal with complex geometries and inhomogeneities in electromagnetic scattering problems. The IEFGM‐MoM technique can accomplish this task using interpolating EFGM (IEFGM) and the electric field integral equation (EFIE) . The objective of the present work is to extend the hybrid technique of Resende et al to include also the magnetic field integral equation (MFIE) and combinations between EFIE and MFIE, and further investigate the numerical efficiency of the several formulations in the simulation of electromagnetic scattering from dielectric cylinders.…”

Section: Introductionmentioning

confidence: 99%

“…The IEFGM‐MoM technique can accomplish this task using interpolating EFGM (IEFGM) and the electric field integral equation (EFIE) . The objective of the present work is to extend the hybrid technique of Resende et al to include also the magnetic field integral equation (MFIE) and combinations between EFIE and MFIE, and further investigate the numerical efficiency of the several formulations in the simulation of electromagnetic scattering from dielectric cylinders. In Section 2, the geometry of the problem under investigation (TM plane wave scattering by a dielectric cylinder) is presented.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

New formulations for the hybrid meshless‐MoM method applied to 2D scattering problems

Resende

Moreira

Afonso

et al. 2018

Int J Numerical Modelling

View full text Add to dashboard Cite

In this work, new formulations for the hybrid meshless-method of moments technique are presented. The proposed approaches are applied for solving 2D electromagnetic scattering problems. The solution is obtained by dividing the problem into 2 subproblems: one internal to the scatterer and another external to it. For the internal subproblem, the meshless method is used for solving the weak form of the 2D Helmholtz equation. For the external subproblem, the Method of Moments is used for solving different combinations of electric field integral equation and magnetic field integral equation. Both subproblems are coupled by imposing the continuity of the tangential fields over the scatterer surface. The technique is applied for solving the TMz electromagnetic scattering by an infinite dielectric cylinder. Numerical and analytical results are compared to each other showing the validity and accuracy of the proposed approaches.

show abstract

Section: Numerical Resultsmentioning

confidence: 99%

Section: Mom Formulation-external Subproblemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

New formulations for the hybrid meshless‐MoM method applied to 2D scattering problems

Resende

Moreira

Afonso

et al. 2018

Int J Numerical Modelling

View full text Add to dashboard Cite

show abstract

“…Diferente dos estudos anteriores, adotou-se uma formulação híbrida baseada em Método dos Momentos (MoM) para substituir a condição absorvente [7]. Em que foram utilizadas funções triangulares para resolver a equação integral do campo elétrico (EFIE) e a equação integral do campo magnético (MFIE) em um contorno arbitrário [8].…”

Section: Introductionunclassified

Aplicação de Técnica Sem-Malha Híbrida na Solução de Espalhamento Eletromagnético

Amorim¹,

Moreira²,

Resende³

2019

Anais De XXXVII Simpósio Brasileiro De Telecomunicações E Processamento De Sinais

View full text Add to dashboard Cite

Resumo-Estre trabalho descreve uma formulação híbrida entre Método sem Malha Local Petrov-Galerkin e Método dos Momentos na solução de problemas de espalhamento eletromagnético em duas dimensões. O método sem malha, aplicado ao problema interno, usa funções de forma geradas por interpolação radial com reprodução polinomial. Já o problema externo, resolvido pelo método dos momentos, utiliza funções triangulares na solução das equações integrais. Os problemas são acoplados forçando a continuidade das componentes tangenciais do campo eletromagnético. O métodoé aplicado a problemas de espalhamento e seus resultados são comparados com soluções analíticas e FEM. Palavras-Chave-Método sem Malha, Método dos Momentos, Espalhamento.Abstract-This work describes a hybrid formulation meshless-MoM approach to solve 2-dimensional scattering problems. The Meshless Local Petrov-Galerkin, applied to the inner region, is used with shape functions generated by the Radial Point Interpolation Method with polynomial reproduction. The Method of Moments, applied to the outer region, is used to solve the electric and magnetic field integral equations. Both regions are coupled by forcing the electromagnetic field's tangent components continuity. The results are compared with analytical and FEM solutions.

show abstract

Combined formulation for meshless-MoM hybrid method applied to 2D electromagnetic scattering

Cited by 2 publications

References 2 publications

New formulations for the hybrid meshless‐MoM method applied to 2D scattering problems

New formulations for the hybrid meshless‐MoM method applied to 2D scattering problems

Aplicação de Técnica Sem-Malha Híbrida na Solução de Espalhamento Eletromagnético

Contact Info

Product

Resources

About