A novel Gaussian interpolation formula‐based IE‐FFT algorithm for solving EM scattering problems

Lai, Benjamin; An, Xiang; Yuan, Haobo; Chen, Zeng‐Shuai; Huang, Chunming; Chen, Liang

doi:10.1002/mop.24523

Cited by 6 publications

(8 citation statements)

References 12 publications

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“…Different from traditional IE-FFT, here β M l (r) is chosen to be Gaussian interpolation basis functions [14] in order to assure a good precision of interpolation of Green functions. All the problems are solved on a 64 bit Dell workstation.…”

Section: Numerical Resultsmentioning

confidence: 99%

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Floating Interpolation Stencil Topology-Based Ie-FFT Algorithm

Yin¹,

Hu²,

Nie³

et al. 2011

PIER M

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Abstract-The integral equation fast Fourier transform (IE-FFT)is a fast algorithm for 3D electromagnetic scattering and radiation problems based on the interpolation of the Green's function. In this paper, a novel floating interpolation stencil topology is used to improve the IE-FFT algorithm. Compared to the traditional interpolation stencil topology, it can further reduce the storage and CPU time for the IE-FFT algorithm. The reduction is especially significant for volume integral equations. Furthermore, the accuracy of the algorithm is still good though the near-interaction element numbers are reduced. Finally, some numerical results including perfectly electric conductors, dielectric objects, composite conducting and dielectric objects are given to demonstrate the performance of the present method.

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Section: Numerical Resultsmentioning

confidence: 99%

“…The interpolation of the Green's function is dependant of the choice of interpolation method and interpolation stencil. A novel interpolation method has been implemented to the IE-FFT algorithm to obtain a higher accuracy and lower computational complexity and less memory costs in [14].…”

Section: Introductionmentioning

confidence: 99%

Floating Interpolation Stencil Topology-Based Ie-FFT Algorithm

Yin¹,

Hu²,

Nie³

et al. 2011

PIER M

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“…In fact, the coefficients in (17) are directly inherited from (14) rather than obtained by using the fitting technique. Then (18) and (19) where is a sparse matrix derived by 's. Clearly, the form (19) means that the matrix-vector product can be accelerated by means of the FFT.…”

Section: The Direct Inheriting Scheme (Dis) For the Gradientmentioning

confidence: 99%

“…Then (18) and (19) where is a sparse matrix derived by 's. Clearly, the form (19) means that the matrix-vector product can be accelerated by means of the FFT. The scheme obtaining (18) is simply called the DIS.…”

Section: The Direct Inheriting Scheme (Dis) For the Gradientmentioning

confidence: 99%

“…The authors interpolated the Green's function onto the nodes of a uniform Cartesian grid by Lagrange polynomials and provided a realization of the IE-in-FFT with this line of thought for the electric field integral equation (EFIE). Further researches on the IE-FFT for the EFIE can be found in [19], [20]. Shortly after [18], a version of the IE-FFT for the combined field integral equation (CFIE) was proposed in [21], being followed by our version with higher accuracy in [22].…”

Section: Introductionmentioning

confidence: 99%

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A Highly Accurate FGG-FG-FFT for the Combined Field Integral Equation

Xie

Zhou

Wang

et al. 2013

IEEE Trans. Antennas Propagat.

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In this paper, a novel realization of the Integral Equation in combination with the fast Fourier transform for the CFIE is established by Fitting both the Green's function and its Gradient onto the nodes of a uniform Cartesian grid. The new method has been compared with several existing popular FFT-based methods, including the AIM, the IE-FFT, and the p-FFT. The accuracy of the proposed method is significantly higher than other FFT-based methods, and the method is not sensitive to both the grid spacing and the expansion order. The outstanding merit of the proposed method is that the fitting procedure is independent of the basis functions. Therefore, when the higher order basis functions would be adopted in the method of moments, only one fitting procedure for the Green's function and its gradient on a basis function support is needed to meet all of basis functions defined on this support. Some numerical examples are provided in this paper to demonstrate the accuracy and efficiency of the proposed method.

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A novel Gaussian interpolation formula‐based IE‐FFT algorithm for solving EM scattering problems

Cited by 6 publications

References 12 publications

Floating Interpolation Stencil Topology-Based Ie-FFT Algorithm

Floating Interpolation Stencil Topology-Based Ie-FFT Algorithm

A Highly Accurate FGG-FG-FFT for the Combined Field Integral Equation

An efficient finite element‐boundary integral method solving electromagnetic scattering problems

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