A reduced-order DG formulation based on POD method for the time-domain Maxwell’s equations in dispersive media - Archive ouverte HAL Access content directly
Journal Articles Journal of Computational and Applied Mathematics Year : 2018

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

(1) , (1) , (2, 1) , (2)
1
2

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.

Dates and versions

hal-01973540 , version 1 (08-01-2019)

Identifiers

Cite

Kun Li, Ting-Zhu Huang, Liang Li, Stéphane Lanteri. A reduced-order DG formulation based on POD method for the time-domain Maxwell’s equations in dispersive media. Journal of Computational and Applied Mathematics, 2018, 336, pp.249-266. ⟨10.1016/j.cam.2017.12.051⟩. ⟨hal-01973540⟩
55 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More