Inverse scattering problem for the Maxwell equations outside moving body
Inverse scattering via nonlinear integral equations method for a sound-soft crack with phaseless data
We consider the inverse scattering of time-harmonic plane waves to reconstruct the shape of a sound-soft crack from a knowledge of the given incident field and the phaseless data, and we check the invariance of far field data with respect to translation of the crack. We present a numerical method that is based on a system of nonlinear and ill-posed integral equations, and our scheme is easy and simple to implement. The numerical implementation is described and numerical examples are presented to...
Investigation of the question of the well-posedness of diffraction problems in the case of angular domains.
Iterative solution of quadratic tensor equations for mutual polarisation.
Justification de l'optique géométrique non linéaire pour un système de lois de conservation
K 100. výročí úmrtí Jamese Clerka Maxwella
Kathodově vázaný oscilátor jako kvasilineární soustava
-stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes
L2-stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes
We investigate sufficient and possibly necessary conditions for the L2 stability of the upwind first order finite volume scheme for Maxwell equations, with metallic and absorbing boundary conditions. We yield a very general sufficient condition, valid for any finite volume partition in two and three space dimensions. We show this condition is necessary for a class of regular meshes in two space dimensions. However, numerical tests show it is not necessary in three space dimensions even on regular...
La théorie des catastrophes. III. Caustiques de l'optique géométrique
Les équations de Maxwell
Lichtstärke-Indikatrizen für isophengische Flächenelemente mit Trägerpunkten auf ebenen glatten Kurven
Lie transforms and motion of a charged particle in periodic magnetic field.
Linear scheme for finite element solution of nonlinear parabolic-elliptic problems with nonhomogeneous Dirichlet boundary condition
The computation of nonlinear quasistationary two-dimensional magnetic fields leads to a nonlinear second order parabolic-elliptic initial-boundary value problem. Such a problem with a nonhomogeneous Dirichlet boundary condition on a part of the boundary is studied in this paper. The problem is discretized in space by the finite element method with linear functions on triangular elements and in time by the implicit-explicit method (the left-hand side by the implicit Euler method and the right-hand...
Local Parameterization and the Asymptotic Numerical Method
The Asymptotic Numerical Method (ANM) is a family of algorithms, based on computation of truncated vectorial series, for path following problems [2]. In this paper, we present and discuss some techniques to define local parameterization [4, 6, 7] in the ANM. We give some numerical comparisons of pseudo arc-length parameterization and local parameterization on non-linear elastic shells problems
Local well-posedness for a higher order nonlinear Schrödinger equation in Sobolev spaces of negative indices.
Low-Frequency electromagnetic scattering theory for a dielectric
Magnetic bottles for the Neumann problem : curvature effects in the case of dimension 3 (general case)
Magnetic fields generated by piecewise rectilinear configurations.
Matching of asymptotic expansions for waves propagation in media with thin slots II: The error estimates
We are concerned with a 2D time harmonic wave propagation problem in a medium including a thin slot whose thickness ε is small with respect to the wavelength. In a previous article, we derived formally an asymptotic expansion of the solution with respect to ε using the method of matched asymptotic expansions. We also proved the existence and uniqueness of the terms of the asymptotics. In this paper, we complete the mathematical justification of our work by deriving optimal error estimates between...