Adaptive integral solution of combined field integral equation

Wang, Chao‐Fu; Ling, Feng; Song, Jiming; Jin, Jian‐Ming

doi:10.1002/(sici)1098-2760(19981205)19:5<321::aid-mop3>3.0.co;2-g

Cited by 62 publications

(24 citation statements)

References 10 publications

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“…It is found that combination factor α = 0.8 is an overall good choice in Ref. [12]. After applying the conventional integral equation-physical optics (IE-PO) hybrid method, the CFIE can be converted into a matrix equation…”

Section: The Combined Field Integral Equationmentioning

confidence: 99%

“…In this class of approaches, the polynomial interpolation of the Green's function via uniform Cartesian grid brings forth a Toeplitz matrix, allows the fast computation of well-separated MoM interaction terms with the aid of a global FFT and is easier to implement than other approaches. As References [11][12][13] point out, the conventional MoM requires O(N 2 ) for both storage and matrixvector multiplication, where N denotes the number of unknowns. However, the FFT approach is O(N 1.5 ) for storage requirement and O(N 1.5 log N ) for matrix-vector multiplication for 3-D PEC electromagnetic problems.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fast Wideband Analysis of Antennas Using Ie-Po Hybrid Method and the Best Uniform Approximation

Chen¹,

Gong²,

Bo³

et al. 2014

PIER M

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Abstract-An efficient wide-band analysis that combines modified integral equation-physical optics (IE-PO) hybrid formulation with the best uniform approximation is proposed for antennas around an electrically large platform in this paper. The modified single-level Fast Fourier Transform (FFT) algorithm which is based on the subdomain FFT acceleration is employed by interpolating the Green's function and introducing the concept of the empty groups. Furthermore, the correction of the nearinteraction is avoided. On the other hand, the best uniform approximation technique is applied to analyze wide-band properties of antennas. Due to the above modifications, the hybrid method needs fewer unknowns and memory requirements than the conventional one.

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Section: The Combined Field Integral Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fast Wideband Analysis of Antennas Using Ie-Po Hybrid Method and the Best Uniform Approximation

Chen¹,

Gong²,

Bo³

et al. 2014

PIER M

View full text Add to dashboard Cite

show abstract

“…With the development in computer science and computational mathematics, many innovative algorithms have been established to accelerate the solving procedure of matrix equation. Several methods have been widely used in CEM, for example, multilevel fast multipole method (MLFMM) [2], adaptive integral method (AIM) [3,4], fast 2 International Journal of Antennas and Propagation Thanks to the upgrading in hardware architecture of GPU, it is possible to allocate much more transistors devoted to data processing, that is, arithmetic logic unit (ALU), rather than data caching or flow control [14]. This makes the GPU most involved in highly parallel, multiprocess, and many-core computing with very high memory bandwidth.…”

Section: Introductionmentioning

confidence: 99%

High Performance Computing of Complex Electromagnetic Algorithms Based on GPU/CPU Heterogeneous Platform and Its Applications to EM Scattering and Multilayered Medium Structure

Song

Mu²,

Zhou

2017

International Journal of Antennas and Propagation

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The fast and accurate numerical analysis for large-scale objects and complex structures is essential to electromagnetic simulation and design. Comparing to the exploration in EM algorithms from mathematical point of view, the computer programming realization is coordinately significant while keeping up with the development of hardware architectures. Unlike the previous parallel algorithms or those implemented by means of parallel programming on multicore CPU with OpenMP or on a cluster of computers with MPI, the new type of large-scale parallel processor based on graphics processing unit (GPU) has shown impressive ability in various scenarios of supercomputing, while its application in computational electromagnetics is especially expected. This paper introduces our recent work on high performance computing based on GPU/CPU heterogeneous platform and its application to EM scattering problems and planar multilayered medium structure, including a novel realization of OpenMP-CUDA-MLFMM, a developed ACA method and a deeply optimized CG-FFT method. With fruitful numerical examples and their obvious enhancement in efficiencies, it is convincing to keep on deeply investigating and understanding the computer hardware and their operating mechanism in the future.

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“…In order to overcome the staircase approximation of CG-FFT method, the Adaptive Integral Method (AIM) was developed by [12]. The AIM has been successfully applied in scattering problems associated with general objects such as perfectly electric conducting (PEC) objects [13], dielectric objects [14], composite dielectric and PEC objects [15], magnetodielectric objects [16] and so on. The precorrected-FFT (pFFT) method was proposed to solve the Laplace equation for static problem of analyzing very large scale integrated circuits [17,18].…”

Section: Introductionmentioning

confidence: 99%

Ased-Aim Analysis of Scattering by Large-Scale Finite Periodic Arrays

Li¹,

Li²,

Yeo³

2009

PIER B

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Abstract-In this paper, the Adaptive Integral Method (AIM) has been extended to characterizing electromagnetic scattering by large scale finite periodic arrays with each cell comprising of either dielectric or metallic objects, by utilizing accurate sub-entire-domain (ASED) basis function. The solution process can be carried out in two steps. In the first step, a small problem is solved in order to construct ASED basis functions to be implemented for the second step. When dielectric materials are involved in the cell which results in a large number of unknowns for the small problem, the AIM can be used to accelerate the solution process and reduce the memory requirement. In the second step, the entire problem is solved using the ASED basis function constructed in the first step. The AIM can be enhanced with the ASED basis function implemented to solve the entire problem more efficiently. When calculating the near interaction impedance matrix, computation time can be significantly reduced by using the near impedance matrix in the first step. The complexity analysis shows that the computational time is O(N 0 log N 0 ) + O(M log M ) and memory requirement is O(N 0 ) + O(M ), where N 0 denotes the number of cells and M stands for the number of elements in one cell. The results calculated respectively by the ASED-AIM and the existing AIM are then compared and an excellent agreement has been observed, which demonstrates the accuracy of the proposed method. In the meantime, memory and computational time requirements have been considerably reduced using the ASED-AIM as compared to the existing AIM. Finally, an example with over 10 million unknowns is given to demonstrate the efficiency of the proposed method.

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Adaptive integral solution of combined field integral equation

Cited by 62 publications

References 10 publications

Fast Wideband Analysis of Antennas Using Ie-Po Hybrid Method and the Best Uniform Approximation

Fast Wideband Analysis of Antennas Using Ie-Po Hybrid Method and the Best Uniform Approximation

High Performance Computing of Complex Electromagnetic Algorithms Based on GPU/CPU Heterogeneous Platform and Its Applications to EM Scattering and Multilayered Medium Structure

Ased-Aim Analysis of Scattering by Large-Scale Finite Periodic Arrays

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