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• W2782683669 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." @default.
• W2782683669 created "2018-01-26" @default.
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• W2782683669 date "2018-07-01" @default.
• W2782683669 modified "2023-10-16" @default.
• W2782683669 title "A reduced-order DG formulation based on POD method for the time-domain Maxwell’s equations in dispersive media" @default.
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• W2782683669 doi "https://doi.org/10.1016/j.cam.2017.12.051" @default.
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