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Development and analysis of finite volume methods
This document is a synthesis of a set of works concerning the development and the analysis of finite volume methods used for the numerical approximation of partial... -
Isogeometric Analysis in Plasmas Physics and Electromagnetism
The underlying idea behind the IsoGeometric Analysis (IGA), developed recently by Hughes et al, is to use the functions (B-splines/NURBS) that describe the geometry in... -
Discontinuous Galerkin Method for Time-Domain Electromagnetics on Curvilinear...
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Preliminary Investigation of a Nonconforming Discontinuous Galerkin Method fo...
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On the long-time behavior of unsplit Perfectly Matched Layers
Some recent work \cite{jsc} have shown that the «classical» models of Perfectly Matched Layers (PML), typically used as Absorbing Boundary Condition- s in... -
Investigation on polynomial integrators for time-domain electromagnetics usin...
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High-Order Optimal Edge Elements for Pyramids, Prisms and Hexahedra
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On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations
In this work, we investigate the Perfectly Matched Layers (PML) introduced by Bérenger \citeber:pml for designing efficient numerical absorbing layers in... -
On Transitions to Stationary States in a Maxwell-Landau-Lifchitz-Gilbert System
In this paper we consider Maxwell's equations together with a dissipative non-linear magnetic law, the Landau-Lifchitz-Gilbert equation, and we study long time... -
Characterization of the Singular Part of the Solution of Maxwell's Equations ...
The solution of Maxwell's equations in a non-convex polyhedral domain is less regular than in a smooth or convex polyhedral domain. In this paper we show that this... -
Asymptotic Analysis of Magnetic Induction with High Frequency for Solid Condu...
In this paper we describe the behaviour both in time and in space of an induction field created by an imposed high frequency alternating current around a solid... -
Maxwell's Equations in a 1D Ferromagnetic Medium : Existence and Uniqueness o...
In this paper we are interested in the Maxwell's equations together with the Landau-Lifchitz-Gilbert law in order to model absorbing ferromagnetic materials in 1D.... -
Mathematical and Numerical Studies of 1D Non Linear Ferromagnetic Materials
In this paper we are interested in the numerical modeling of absorbing ferromagnetic materials obeying the non-linear Landau-Lifchitz-Gilbert law with respect to the... -
A Numerical Method for the Computation of Electromagnetic Modes in Optical Fi...
In this article, we propose a new numerical method for the computation of electromagnetic modes in an optical fiber. The main difficulty lies in the fact that we have... -
T-coercivity for the Maxwell problem with sign-changing coefficients
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Investigation of some transmission problems with sign-changing coefficients. ...
In this thesis, we study various operators that present a sign-changing in their principal part. These operators appear in particular in electromagnetism when studying... -
High-order explicit time-integrators for discontinuous Galerkin discretizatio...
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Shape derivatives of boundary integral operators in electromagnetic scatterin...
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Numerical integration and high order finite element methods applied to time-h...
In this thesis, time-harmonic Maxwell's equations are our main interest,<br />in order to compute accurately the radar cross section of electromagnetic... -
Nonlinear stability of a Vlasov equation for magnetic plasmas
The mathematical description of laboratory fusion plasmas produced in Tokamaks is still challenging. Complete models for electrons and ions, as Vlasov-Maxwell systems,...
