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math.NA2025
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…
math.NA2021
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…
math.NA2020
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-…