A posteriori error estimates for finite element discretizations of time-harmonic Maxwell's equations coupled with a non-local hydrodynamic Drude model
arXiv:2103.05539 · doi:10.1016/j.cma.2021.114002
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.
References in corpus (7)
- Nonlocal optical response in metallic nanostructures
- Modified field enhancement in plasmonic nanowire dimers due to nonlocal response
- Numerical solution of nonlocal hydrodynamic Drude model for arbitrary shaped nano-plasmonic structures using Nédélec finite elements
- A hybridizable discontinuous Galerkin method for solving nonlocal optical response models
- A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures
- Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations
- Mathematical and numerical analysis of a nonlocal Drude model in nanoplasmonics