A 2D finite element procedure for magnetic field analysis taking into account a vector Preisach model.
A boundary value problem for an elliptic equation with asymmetric coefficients in a non-schlicht domain.
A combined method for computing the field of the point source in a waveguide. (A weakly curved layered medium).
A combined method for computing the field of the point source in a waveguide (plane-layered media).
A finite element method for approximating the time-harmonic Maxwell equations.
A general perturbation formula for electromagnetic fields in presence of low volume scatterers
In several practically interesting applications of electromagnetic scattering theory like, e.g., scattering from small point-like objects such as buried artifacts or small inclusions in non-destructive testing, scattering from thin curve-like objects such as wires or tubes, or scattering from thin sheet-like objects such as cracks, the volume of the scatterers is small relative to the volume of the surrounding medium and with respect to the wave length of the applied electromagnetic fields. This...
A general perturbation formula for electromagnetic fields in presence of low volume scatterers
In several practically interesting applications of electromagnetic scattering theory like, e.g., scattering from small point-like objects such as buried artifacts or small inclusions in non-destructive testing, scattering from thin curve-like objects such as wires or tubes, or scattering from thin sheet-like objects such as cracks, the volume of the scatterers is small relative to the volume of the surrounding medium and with respect to the wave length of the applied electromagnetic fields. This...
A homogenization result for planar, polygonal networks
A multi-D model for Raman amplification
In this paper, we continue the study of the Raman amplification in plasmas that we initiated in [Colin and Colin, Diff. Int. Eqs. 17 (2004) 297–330; Colin and Colin, J. Comput. Appl. Math. 193 (2006) 535–562]. We point out that the Raman instability gives rise to three components. The first one is collinear to the incident laser pulse and counter propagates. In 2-D, the two other ones make a non-zero angle with the initial pulse and propagate forward. Furthermore they are symmetric with respect...
A multi-D model for Raman amplification
In this paper, we continue the study of the Raman amplification in plasmas that we initiated in [Colin and Colin, Diff. Int. Eqs.17 (2004) 297–330; Colin and Colin, J. Comput. Appl. Math.193 (2006) 535–562]. We point out that the Raman instability gives rise to three components. The first one is collinear to the incident laser pulse and counter propagates. In 2-D, the two other ones make a non-zero angle with the initial pulse and propagate forward. Furthermore they are symmetric with respect to...
A multiplicity result for the Schrodinger-Maxwell equations with negative potential
We prove the existence of a sequence of radial solutions with negative energy of the Schrödinger-Maxwell equations under the action of a negative potential.
A Nekhoroshev-type theorem for the Pauli-Fierz model of classical electrodynamics
A new constrained formulation of the Maxwell system
A note to Friedrichs' inequality
A numerical solution of diffraction problems for the radiation transport equation.
A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape.
A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity
A rigorous derivation of free-boundary problem arising in superconductivity
A singular perturbation problem in exact controllability of the Maxwell system
This paper studies the exact controllability of the Maxwell system in a bounded domain, controlled by a current flowing tangentially in the boundary of the region, as well as the exact controllability the same problem but perturbed by a dissipative term multiplied by a small parameter in the boundary condition. This boundary perturbation improves the regularity of the problem and is therefore a singular perturbation of the original problem. The purpose of the paper is to examine the connection,...
A Singular Perturbation Problem in Exact Controllability of the Maxwell System
This paper studies the exact controllability of the Maxwell system in a bounded domain, controlled by a current flowing tangentially in the boundary of the region, as well as the exact controllability the same problem but perturbed by a dissipative term multiplied by a small parameter in the boundary condition. This boundary perturbation improves the regularity of the problem and is therefore a singular perturbation of the original problem. The purpose of the paper is to examine the connection, for...