An efficient transient modeling for 3-D multilevel interconnections in a stratified dielectric medium

Wu, Ching‐Yuan; Hou, Hsin-Ming

doi:10.1016/s0038-1101(98)00166-x

Cited by 1 publication

(1 citation statement)

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“…Many model order reduction techniques such as modal expansion [16], asymptotic waveform evaluation [17,18], Padé via Lanczos model reduction [19], and the Krylov subspace method [20] have been proposed for combination with the brute force approaches to reduce the complexity of the involved models. Another numerical technique, called the reduced-basis method (RBM), was originally introduced in [21,22] whereby the approximate space, which was used to reduce the dimension of the original model obtained by brute force methods, was local and typically low-dimensional in the number of parameters.…”

Section: Introductionmentioning

confidence: 99%

Reduced-basis boundary element method for fast electromagnetic field computation

et al. 2017

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In this work, we combine conventional boundary element method (BEM) with the reduced-basis method (RBM) and propose a reduced-basis boundary element method (RB-BEM) to realize efficient modeling for parameterized electromagnetic scattering problems of dielectric scatterers. The RB-BEM allows for splitting the modeling process into a parameter-independent offline part and parameter-dependent online part, and replacing the high-dimensional original model obtained by conventional BEM with a low-dimensional reduced-basis model to improve computational efficiency of the online part. We also propose an improved greedy algorithm based on multi-grid to improve the computational efficiency of the offline part. The numerical experiments indicate that the efficiency of the improved greedy algorithm is several times higher than that of the standard one, and the solving efficiency of the reduced-basis model is several times to dozens of times higher than that of the original model with a prescribed approximation accuracy.

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