A Taylor Series Method for the Numerical Solution of Two-Point Boundary Value Problems.
A triangular mixed finite element method for the stationary semiconductor device equations
A uniqueness result in the theory of stereo vision : coupling shape from shading and binocular information allows unambiguous depth reconstruction
A variational method for electromagnetic diffraction in biperiodic structures
A well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition
The construction of a well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition is proposed. A suitable parametrix is obtained by using a new unknown and an approximation of the transparency condition. We prove the well-posedness of the equation for any wavenumber. Finally, some numerical comparisons with well-tried method prove the efficiency of the new formulation.
About asymptotic approximations in thin waveguides
We study the propagation of electromagnetic waves in a guide the section of which is a thin annulus. Owing to the presence of a small parameter, explicit approximations of the TM and TE eigenmodes are obtained. The cases of smooth and non smooth boundaries are presented.
About asymptotic approximations in thin waveguides
We study the propagation of electromagnetic waves in a guide the section of which is a thin annulus. Owing to the presence of a small parameter, explicit approximations of the TM and TE eigenmodes are obtained. The cases of smooth and non smooth boundaries are presented.
Addendum to a paper of Craig and Goodman.
Addendum to the paper “Finite element solution of quasistationary nonlinear magnetic field”
Adiabatic approximation for a two-level atom in a light beam
Following the recent experimental realization of synthetic gauge potentials, Jean Dalibard addressed the question whether the adiabatic ansatz could be mathematically justified for a model of an atom in 2 internal states, shone by a quasi resonant laser beam. In this paper, we derive rigorously the asymptotic model guessed by the physicists, and show that this asymptotic analysis contains the information about the presence of vortices. Surprisingly, the main difficulties do not come from the nonlinear...
Adjoint variable method for the study of combined active and passive magnetic shielding.
Amplituda a frekvence modulované nosné vlny
An algorithm for model reduction in large electric power systems.
An analysis of the B.P.M. approximation of the Helmholtz equation in an optical fiber
An analysis of the Darwin model of approximation to Maxwell's equations.
An analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations
An analytic method for the initial value problem of the electric field system in vertical inhomogeneous anisotropic media
The time-dependent system of partial differential equations of the second order describing the electric wave propagation in vertically inhomogeneous electrically and magnetically biaxial anisotropic media is considered. A new analytical method for solving an initial value problem for this system is the main object of the paper. This method consists in the following: the initial value problem is written in terms of Fourier images with respect to lateral space variables, then the resulting problem...
An approach through orthogonal projections to the study of inhomogeneous or random media with linear response
An axisymmetric PIC code based on isogeometric analysis⋆
Isogeometric analysis has been developed recently to use basis functions resulting from the CAO description of the computational domain for the finite element spaces. The goal of this study is to develop an axisymmetric Finite Element PIC code in which specific spline Finite Elements are used to solve the Maxwell equations and the same spline functions serve as shape function for the particles. The computational domain itself is defined using splines...
An eddy current problem in terms of a time-primitive of the electric field with non-local source conditions
The aim of this paper is to analyze a formulation of the eddy current problem in terms of a time-primitive of the electric field in a bounded domain with input current intensities or voltage drops as source data. To this end, we introduce a Lagrange multiplier to impose the divergence-free condition in the dielectric domain. Thus, we obtain a time-dependent weak mixed formulation leading to a degenerate parabolic problem which we prove is well-posed. We propose a finite element method for space...