49 citations · 63 across the 6 of their papers we have counts for
7 papers
Neural network-driven domain decomposition for efficient solutions to the Helmholtz equation
Victorita Dolean, Daria Hrebenshchykova, Stéphane Lanteri +1
Accurately simulating wave propagation is crucial in fields such as acoustics, electromagnetism, and seismic analysis. Traditional numerical methods, like finite difference and fin…
Model order reduction for parameterized electromagnetic problems using matrix decomposition and deep neural networks
Xiao-Feng He, Liang Li, Stephane Lanteri +1
A non-intrusive model order reduction (MOR) method for solving parameterized electromagnetic scattering problems is proposed in this paper. A database collecting snapshots of high-…
A posteriori error estimates for finite element discretizations of time-harmonic Maxwell's equations coupled with a non-local hydrodynamic Drude model
T. Chaumont-Frelet, S. Lanteri, P. Vega
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 nanost…
A postprocessing technique for a discontinuous Galerkin discretization of time-dependent Maxwell's equations
G. Nehmetallah, T. Chaumont-Frelet, S. Descombes +1
We present a novel postprocessing technique for a discontinuous Galerkin (DG) discretization of time-dependent Maxwell's equations that we couple with an explicit Runge-Kutta time-…
A hybridizable discontinuous Galerkin method for solving nonlocal optical response models
Liang Li, Stéphane Lanteri, N. Asger Mortensen +1
We propose Hybridizable Discontinuous Galerkin (HDG) methods for solving the frequency-domain Maxwell's equations coupled to the Nonlocal Hydrodynamic Drude (NHD) and Generalized N…
Stabilization in relation to wavenumber in HDG methods
J. Gopalakrishnan, S. Lanteri, N. Olivares +1
Simulation of wave propagation through complex media relies on proper understanding of the properties of numerical methods when the wavenumber is real and complex. Numerical method…
Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods
Victorita Dolean, Hugo Fol, Stephane Lanteri +1
We present numerical results concerning the solution of the time-harmonic Maxwell's equations discretized by discontinuous Galerkin methods. In particular, a numerical study of the…