Dans cet épisode du podcast audio, Stéphane Lanteri nous explique les méthodes numériques utilisées pour analyser les effets de ces ondes sur le cerveau.
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December 22, 2010 (v1)Journal articleUploaded on: February 28, 2023
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July 1, 2013 (v1)Journal article
An attractive feature of discontinuous Galerkin (DG) spatial discretization is the possibility of using locally refined space grids to handle geometrical details. However, locally refined meshes lead to severe stability constraints on explicit integration methods to numerically solve a time-dependent partial differential equation. If the region...
Uploaded on: October 11, 2023 -
June 25, 2012 (v1)Conference paper
This paper discusses about the development of high-order locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations.
Uploaded on: October 11, 2023 -
May 31, 2012 (v1)Report
An attractive feature of discontinuous Galerkin (DG) spatial discretization is the possibility of using locally refined space grids to handle geometrical details. However, locally refined meshes lead to severe stability constraints on explicit integration methods to numerically solve a time-dependent partial differential equation. If the ratio...
Uploaded on: February 22, 2023 -
June 25, 2012 (v1)Conference paper
This paper discusses about the development of high-order locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations.
Uploaded on: December 3, 2022 -
February 2018 (v1)Journal article
We present a time-implicit hybridizable discontinuous Galerkin (HDG) method for numerically solving the system of three-dimensional (3D) time-domain Maxwell equations. This method can be seen as a fully implicit variant of classical so-called DGTD (Discontinuous Galerkin Time-Domain) methods that have been extensively studied during the last 10...
Uploaded on: February 28, 2023 -
May 15, 2017 (v1)Journal article
This paper is concerned with the approximation of the time domain Maxwell's equations in a dispersive propagation media by a Discontinuous Galerkin Time Domain (DGTD) method. The Debye model is used to describe the dispersive behaviour of the media. We adapt the locally implicit time integration method from [1] and derive a convergence analysis...
Uploaded on: February 28, 2023 -
2016 (v1)Journal article
We are concerned here with the numerical simulation of electromagnetic wave propagation in biological media. Because of their water content, these media are dispersive i.e. their electromagnetic material characteristics depend of the frequency. In the time-domain, this translates in a time dependency of these parameters that can be taken into...
Uploaded on: February 28, 2023 -
July 1, 2013 (v1)Journal article
An attractive feature of discontinuous Galerkin (DG) spatial discretization is the possibility of using locally refined space grids to handle geometrical details. However, locally refined meshes lead to severe stability constraints on explicit integration methods to numerically solve a time-dependent partial differential equation. If the region...
Uploaded on: December 2, 2022 -
September 4, 2023 (v1)Conference paper
This paper is concerned with numerical modeling of the interaction between an electromagnetic field and a gain medium in the context of laser physics, with the goal of simulating the gain process that results in an increase in optical power. This phenomenon can be modelled by a four-level atomic differential system that couples Maxwell's...
Uploaded on: January 27, 2024 -
September 30, 2016 (v1)Publication
We present a time-implicit hybridizable discontinuous Galerkin (HDG) method for numerically solving the system of three-dimensional (3D) time-domain Maxwell equations. This method can be seen as a fully implicit variant of classical so-called DGTD (Discontinuous Galerkin Time-Domain) methods that have been extensively studied during the last 10...
Uploaded on: February 28, 2023 -
January 1, 2020 (v1)Publication
We present an explicit hybridizable discontinuous Galerkin (HDG) method for numerically solving the system of three-dimensional (3D) time-domain Maxwell equations. The method is fully explicit similarly to classical so-called DGTD (Dis-continuous Galerkin Time-Domain) methods, is also high-order accurate in both space and time and can be seen...
Uploaded on: December 4, 2022 -
January 1, 2020 (v1)Publication
We present an explicit hybridizable discontinuous Galerkin (HDG) method for numerically solving the system of three-dimensional (3D) time-domain Maxwell equations. The method is fully explicit similarly to classical so-called DGTD (Dis-continuous Galerkin Time-Domain) methods, is also high-order accurate in both space and time and can be seen...
Uploaded on: February 22, 2023 -
October 3, 2020 (v1)Publication
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-marching scheme. The postprocessed electromagnetic field converges one order faster than the unprocessed solution in the H(curl)-norm. The proposed approach is local,...
Uploaded on: December 4, 2022 -
March 1, 2018 (v1)Report
We propose a Finite Volume Time-Domain scheme for the numerical treatment of Generalized Sheet Transition Conditions (GSTC) modeling metasurfaces in the one-dimensional case.
Uploaded on: February 28, 2023 -
September 26, 2022 (v1)Conference paper
International audience
Uploaded on: December 4, 2022 -
January 2015 (v1)Report
The system of Maxwell equations describes the evolution of the interaction of an electromagnetic field with a propagation medium. The different properties of the medium, such as isotropy, homogeneity, linearity, among others, are introduced through {\it constitutive laws} linking fields and inductions. In the present study,...
Uploaded on: March 25, 2023 -
2016 (v1)Journal article
During the last ten years, the discontinuous Galerkin time-domain (DGTD) method has progressively emerged as a viable alternative to well established finite-difference time-domain (FDTD) and finite-element time-domain (FETD) methods for the numerical simulation of electromagnetic wave propagation problems in the time-domain. The method is now...
Uploaded on: February 28, 2023 -
November 27, 2023 (v1)Conference paper
Optical metasurfaces have become increasingly prevalent as key components for manipulating light properties. Nevertheless, the majority of these devices remain passive and lack the capability to adapt to changing environmental conditions. Here, we propose an innovative design approach using asymmetric Gires–Tournois resonators to achieve...
Uploaded on: December 25, 2023 -
November 2017 (v1)Journal article
A new family of exponential-based time integration methods are proposed for the time-domain Maxwell's equations discretized by a high-order discontinuous Galerkin (DG) scheme formulated on locally refined unstructured meshes. These methods, which are developed from the Lawson method, remove the stiffness on the time explicit integration of the...
Uploaded on: February 28, 2023 -
January 9, 2020 (v1)Journal article
Plasma surrounding a hypersonic vehicle can lead to the absorption of incoming radar radiation or the interruption of communication. Therefore, the development of hypersonic vehicle relies on a clear understanding of the strong interaction between the surrounding plasma and the incident electromagnetic wave. However, because of the presence of...
Uploaded on: February 20, 2024 -
March 1, 2013 (v1)Journal article
This study is concerned with the numerical solution of 2D electromagnetic wave propagation problems in the frequency domain. We present a high order discontinuous Galerkin method formulated on unstructured triangular meshes for the solution of the system of the time-harmonic Maxwell equations in mixed form. Within each triangle, the...
Uploaded on: December 2, 2022 -
March 1, 2013 (v1)Journal article
This study is concerned with the numerical solution of 2D electromagnetic wave propagation problems in the frequency domain. We present a high order discontinuous Galerkin method formulated on unstructured triangular meshes for the solution of the system of the time-harmonic Maxwell equations in mixed form. Within each triangle, the...
Uploaded on: October 11, 2023