Microfunctions with values in a Clifford algebra 1
Mixed discontinuous Galerkin approximation of the Maxwell operator : the indefinite case
We present and analyze an interior penalty method for the numerical discretization of the indefinite time-harmonic Maxwell equations in mixed form. The method is based on the mixed discretization of the curl-curl operator developed in [Houston et al., J. Sci. Comp. 22 (2005) 325–356] and can be understood as a non-stabilized variant of the approach proposed in [Perugia et al., Comput. Methods Appl. Mech. Engrg. 191 (2002) 4675–4697]. We show the well-posedness of this approach and derive optimal...
Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case
We present and analyze an interior penalty method for the numerical discretization of the indefinite time-harmonic Maxwell equations in mixed form. The method is based on the mixed discretization of the curl-curl operator developed in [Houston et al., J. Sci. Comp.22 (2005) 325–356] and can be understood as a non-stabilized variant of the approach proposed in [Perugia et al., Comput. Methods Appl. Mech. Engrg.191 (2002) 4675–4697]. We show the well-posedness of this approach and derive optimal...
Mixed Finite Elements in IR3 .
Modèle effectif de couche mince rugueuse périodique sur une structure semi-infinie
Nous étudions l’effet d’une couche mince rugueuse périodique déposée sur une structure semi-infinie, dans le contexte Helmholtz bi-dimensionnel. Formellement, nous obtenons des conditions de transmission équivalentes à l’ordre 1, par des techniques de type homogénéisation. Suivent alors la résolution du problème du milieu effectif éclairé par une onde plane, et le calcul de la fonction de Green effective ; le tout par analyse de Fourier. Dans un deuxième temps, nous considérons le problème de diffraction...
Modelling the electromagnetic behaviour of SiFe alloys using the Preisach theory and the principle of loss seperation.
Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions
In this work we consider the magnetic NLS equationwhere , is a magnetic potential, possibly unbounded, is a multi-well electric potential, which can vanish somewhere, is a subcritical nonlinear term. We prove the existence of a semiclassical multi-peak solution to (0.1), under conditions on the nonlinearity which are nearly optimal.
Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions
In this work we consider the magnetic NLS equation where , is a magnetic potential, possibly unbounded, is a multi-well electric potential, which can vanish somewhere, f is a subcritical nonlinear term. We prove the existence of a semiclassical multi-peak solution to (0.1), under conditions on the nonlinearity which are nearly optimal.
Nonlinear Klein-Gordon equations coupled with Born-Infeld type equations.
Numerical methods in system design and identification with application to wave propagation in layered media
Numerical simulation of tridimensional electromagnetic shaping of liquid metals.
On approximation of the Neumann problem by the penalty method
We prove that penalization of constraints occuring in the linear elliptic Neumann problem yields directly the exact solution for an arbitrary set of penalty parameters. In this case there is a continuum of Lagrange's multipliers. The proposed penalty method is applied to calculate the magnetic field in the window of a transformer.
On Maxwell equations with the Preisach hysteresis operator: The one- dimensional time-periodic case
Energy functionals for the Preisach hysteresis operator are used for proving the existence of weak periodic solutions of the one-dimensional systems of Maxwell equations with hysteresis for not too large right-hand sides. The upper bound for the speed of propagation of waves is independent of the hysteresis operator.
On the exterior magnetic field and silent sources in magnetoencephalography.
On the linear force-free fields in bounded and unbounded three-dimensional domains
On the linear force-free fields in bounded and unbounded three-dimensional domains
Linear Force-free (or Beltrami) fields are three-components divergence-free fields solutions of the equation curlB = αB, where α is a real number. Such fields appear in many branches of physics like astrophysics, fluid mechanics, electromagnetics and plasma physics. In this paper, we deal with some related boundary value problems in multiply-connected bounded domains, in half-cylindrical domains and in exterior domains.
On the low frequency asymptotics in electromagnetic theory.
On the Maxwell's system in composite media
On the method of successive approximations for the J. L. Synge electromagnetic two-body problem.
On the strong unique continuation prinicple for inequalities of Maxwell type.