Efficient Analysis of Scattering by Multiple Moving Objects Using a Tailored MLFMA

Zhang, H. L.; Sha, Yi-Xin; Guo, Xing-Yue; Xia, Mingyao; Chan, Chi Hou

doi:10.1109/tap.2019.2891226

Cited by 13 publications

(3 citation statements)

References 13 publications

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“…In addition, numerical schemes based e.g. on FDTD [34,49,50] or fast integral equation solvers [48] were also investigated. More mathematical works related essentially to one-dimensional moving boundary problems have also been proposed e.g.…”

Section: Introductionmentioning

confidence: 99%

A frequency domain method for scattering problems with moving boundaries

Gasperini

Beise²,

Schroeder³

et al. 2021

Wave Motion

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We propose a multi-harmonic numerical method for solving wave scattering problems with moving boundaries, where the scatterer is assumed to move smoothly around an equilibrium position. We first develop an analysis to justify the method and its validity in the one-dimensional case with small-amplitude sinusoidal motions of the scatterer, before extending it to large-amplitude, arbitrary motions in oneand two-dimensional settings. We compare the numerical results of the proposed approach to standard space-time resolution schemes, which illustrates the efficiency of the new method.

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Section: Introductionmentioning

confidence: 99%

A frequency domain method for scattering problems with moving boundaries

Gasperini

Beise²,

Schroeder³

et al. 2021

Wave Motion

View full text Add to dashboard Cite

show abstract

“…Moreover, numerical approximation schemes based e.g. on FDTD [25,38,39] or fast integral equation solvers [37] were developed. More theoretical contributions essentially linked to onedimensional moving boundary problems have also been considered [15,20].…”

Section: Introductionmentioning

confidence: 99%

A MultiHarmonic Finite Element Method for Scattering Problems with Small-Amplitude Boundary Deformations

Gasperini¹,

Beise²,

Schroeder³

et al. 2022

SIAM J. Sci. Comput.

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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“…Recently, a tailored MMO-MLFMA was presented to meet the need for analyses of scattering by multiple moving objects [13]. A double octree meshing was introduced in the approach.…”

Section: Introductionmentioning

confidence: 99%

Efficient Algorithm for Scattering by a Large Cluster of Moving Objects

et al. 2019

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A highly efficient algorithm for analysis of electromagnetic scattering by a large cluster of independently moving objects is proposed in this paper. A double octree structure is introduced, which consists of a main octree stationary to the cluster as a whole, and many sub-octrees moving with individual objects. Based on the new double octree structure, the computation of interactions between two elements is divided into four categories: the two elements are on the same object and are near; the two elements are on the same object but are far; the two elements are on different objects but the two objects are adjacent; the two elements are on different objects and the two objects are non-adjacent. For different interacting categories, different approaches are adopted to maximize the computing efficiency. The new algorithm enables possible fast simulations of scattering by hundreds of independently moving objects. Compared with the conventional Multilevel Fast Multipole Algorithm (MLFMA) and the recently developed Multi-Moving-Object (MMO)-MLFMA, the present scheme has substantial improvement in saving CPU time, providing a viable solution for engineering applications. Numerical validations for accuracy and efficiency are performed.INDEX TERMS Cluster of moving objects, fast algorithm, scattering analysis.

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Efficient Analysis of Scattering by Multiple Moving Objects Using a Tailored MLFMA

Cited by 13 publications

References 13 publications

A frequency domain method for scattering problems with moving boundaries

A frequency domain method for scattering problems with moving boundaries

A MultiHarmonic Finite Element Method for Scattering Problems with Small-Amplitude Boundary Deformations

Efficient Algorithm for Scattering by a Large Cluster of Moving Objects

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