Parallel Wideband MLFMA for Analysis of Electrically Large, Nonuniform, Multiscale Structures

Hughey, S.; Aktulga, Hasan Metin; Vikram, M.; Lu, Mingyu; Shanker, B.; Michielssen, E.

doi:10.1109/tap.2018.2882621

Cited by 16 publications

(13 citation statements)

References 34 publications

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“…4 and 5. The MLFMA versions (24) and (27) yield results almost identical to those from the MFIE-MoM.…”

Section: Numerical Examplesmentioning

confidence: 68%

“…The error is the difference between the results from (29) (or (21)) and the EFIE-MoM. The interactions for K operator are calculated by the MFIE-MoM, the MLFMA versions of (27) and (24) respectively for α = 0 • , 45 • and 90 • , and the results are compared in Figs. 4 and 5.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…However, tiny deviations of results exist at x n > 0.7λ. The reason is that the interpolation and anterpolation in the aggregation and disaggregation stages decrease the accuracy of (29) and (21) calculating L operator and (27) and (24) calculating K FIGURE 5. Error results between the MFIE-MoM, the MLFMA schemes (27) and (24) for K operator, respectively.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…Far-field interaction results calculated by the MFIE-MoM, the MLFMA schemes(27) and(24) for K operator, respectively.…”

mentioning

confidence: 99%

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A Concise and Efficient MLFMA Scheme for Electromagnetic Surface Integral Equations From Dielectric Objects

Miao

Wang

2020

IEEE Access

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In the surface field integral equations (SIEs) from three-dimensional homogeneous dielectric objects, the equivalence electric and magnetic currents on the discontinuous interfaces between different homogeneous media are two independent sources. When the SIEs are iteratively solved, as indicated by the published literatures, the multilevel fast multipole algorithm (MLFMA) needs to be implemented respectively for the electric field integral equation (EFIE) and the magnetic field integral equation (MFIE) with these two currents, and hence a few MLFMA implementations are necessary for each homogeneous medium. In this paper, a concise and efficient scheme is proposed for reducing the implementations of the SIEs-MLFMA. First, the summation of the EFIE and MFIE-MLFMA implementations with the two currents can be simplified into one EFIE or MFIE-MLFMA implementation with integrating electric and magnetic currents at the lowest-level aggregation stage. Secondly, the common matrix frameworks consisting of the EFIE and MFIE-MLFMA implementations used in the SIEs can be simplified into one MLFMA implementation with two lowest-level diaggregations. The enhanced MLFMA scheme has excellent applicability to eight kinds of SIEs in wide use. In this way, the resulted SIE-MLFMA scheme performs only once for each homogeneous medium when transforming outgoing wave expansions of the two currents into incoming wave expansions for bottom cubes. Compared with the widely-used implementation approach of the MLFMA one by one for the two currents, it reduces the computation complexity by one half without sacrificing accuracy and adding a little memory requirement. Some examples are presented to validate the enhanced MLFMA scheme.

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“…4 and 5. The MLFMA versions (24) and (27) yield results almost identical to those from the MFIE-MoM.…”

Section: Numerical Examplesmentioning

confidence: 68%

Section: Numerical Examplesmentioning

confidence: 99%

Section: Numerical Examplesmentioning

confidence: 99%

“…Far-field interaction results calculated by the MFIE-MoM, the MLFMA schemes(27) and(24) for K operator, respectively.…”

mentioning

confidence: 99%

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A Concise and Efficient MLFMA Scheme for Electromagnetic Surface Integral Equations From Dielectric Objects

Miao

Wang

2020

IEEE Access

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“…In particular, the rapid increase in electrical scale has led to a sharp increase in the computational requirements for fullwave EM field simulation. The surface integral equation (SIE) of method of moment (MoM) is a very powerful tool for the solution of EM radiation and scattering problems [7]- [11]. MoM [12]- [13] combined with Rao-Wilton-Glisson (RWG) functions [14] is one of the most classic frequency-domain numerical approach.…”

Section: Introductionmentioning

confidence: 99%

Matrix-Partitioned DDM for the Accurate Analysis of Challenging Scattering Problems

et al. 2020

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A matrix-partitioned domain decomposition method based on integral equation using the outof-core iterative solver is presented for accurately analyzing challenging electromagnetic scattering problems with limited memory. The proposed method is based on the domain decomposition strategy, which decomposes the original large complex matrix of the electrically large problem into several submatrices of the electrically small sub-problems. Then, the out-of-core solver is used to solve the partitioned matrix equation panel by panel. In the process of constructing sub-problems, the proposed method does not introduce any additional unknowns. Thus, it can significantly reduce memory consumption, expanding the scale of the problem that can be solved. Numerical examples demonstrate that the method is very accurate even for the EM scattering targets the RCS of which are below-40 dBsm. And it can completely eliminate the pseudo edge effect which often occurs in the implementation of the domain decomposition method. In addition, modeling and partitioning the subdomains of the proposed method is easy and flexible. INDEX TERMS Matrix partitioning, domain decomposition, surface integral equations, out-of-core solver.

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Massive parallelization of multilevel fast multipole algorithm for 3-D electromagnetic scattering problems on SW26010 many-core cluster

Liu,

He,

Yang

et al. 2023

J Supercomput

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Parallel Wideband MLFMA for Analysis of Electrically Large, Nonuniform, Multiscale Structures

Cited by 16 publications

References 34 publications

A Concise and Efficient MLFMA Scheme for Electromagnetic Surface Integral Equations From Dielectric Objects

A Concise and Efficient MLFMA Scheme for Electromagnetic Surface Integral Equations From Dielectric Objects

Matrix-Partitioned DDM for the Accurate Analysis of Challenging Scattering Problems

Massive parallelization of multilevel fast multipole algorithm for 3-D electromagnetic scattering problems on SW26010 many-core cluster

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