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A posteriori error estimates for finite element discretizations of time-harmonic Maxwell's equations coupled with a non-local hydrodynamic Drude model

Abstract : We consider finite element discretizations of Maxwell's equations coupled with a non-local hydrodynamic Drude model that accurately accounts for electron motions in metallic nanostructures. Specifically, we focus on a posteriori error estimation and mesh adaptivity, which is of particular interest since the electromagnetic field usually exhibits strongly localized features near the interface between metals and their surrounding media. We propose a novel residual-based error estimator that is shown to be reliable and efficient. We also present a set of numerical examples where the estimator drives a mesh adaptive process. These examples highlight the quality of the proposed estimator, and the potential computational savings offered by mesh adaptivity.
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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-03164225
Contributor : Théophile Chaumont-Frelet Connect in order to contact the contributor
Submitted on : Tuesday, March 9, 2021 - 5:26:12 PM
Last modification on : Friday, February 4, 2022 - 3:14:21 AM
Long-term archiving on: : Thursday, June 10, 2021 - 7:32:55 PM

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  • HAL Id : hal-03164225, version 1
  • ARXIV : 2103.05539

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Théophile Chaumont-Frelet, Stéphane Lanteri, Patrick Vega. A posteriori error estimates for finite element discretizations of time-harmonic Maxwell's equations coupled with a non-local hydrodynamic Drude model. 2021. ⟨hal-03164225⟩

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