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research-article

A reduced-order DG formulation based on POD method for the time-domain Maxwell’s equations in dispersive media

Authors:

Ting-Zhu Huang,

Stéphane LanteriAuthors Info & Claims

Volume 336, Issue C

Pages 249 - 266

https://doi.org/10.1016/j.cam.2017.12.051

Published: 01 July 2018 Publication History

Abstract

In this work, a proper orthogonal decomposition (POD) method is applied to time-domain Maxwell’s equations coupled to a Drude dispersion model, which are discretized in space by a discontinuous Galerkin (DG) method. An auxiliary differential equation (ADE) method is used to represent the constitutive relation for the dispersive medium. A POD–DGTD formulation with lower dimension and sufficiently high accuracy is established, together with the description of the POD reduced-order basis, its construction from a snapshot set, and its application to the solution of the time-domain Maxwell’s equations. The overall goal is to reduce the computational time while maintaining an acceptable level of accuracy, in order to obtain an efficient time-domain solver to be used as a starting-point for an optimization strategy. We provide results from numerical experiments for two-dimensional problems that illustrate the capabilities of the proposed POD–DGTD formulation and assess its efficiency.

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Cited By

Li QChen HWang H(2023)A proper orthogonal decomposition-compact difference algorithm for plate vibration modelsNumerical Algorithms10.1007/s11075-023-01544-794:3(1489-1518)Online publication date: 1-Nov-2023
https://dl.acm.org/doi/10.1007/s11075-023-01544-7

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A reduced-order DG formulation based on POD method for the time-domain Maxwell’s equations in dispersive media

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Published In

cover image Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics Volume 336, Issue C

Jul 2018

477 pages

ISSN:0377-0427

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Elsevier B.V.

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Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 01 July 2018

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Cited By

Li QChen HWang H(2023)A proper orthogonal decomposition-compact difference algorithm for plate vibration modelsNumerical Algorithms10.1007/s11075-023-01544-794:3(1489-1518)Online publication date: 1-Nov-2023
https://dl.acm.org/doi/10.1007/s11075-023-01544-7

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