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.
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...
An electromagnetic damping machine: model, analysis and numerics
In questo lavoro viene considerato il modello bidimensionale completo di sistema elettromagnetico in movimento: le equazioni dei campi elettromagnetici sono accoppiate con quelle della meccanica e il sistema così ottenuto risulta essere non lineare nell'accoppiamento. Vengono analizzate la buona posizione del problema e la regolarità della soluzione continua; si propone inoltre uno schema di discretizzazione di tipo esplicito. Si dimostra la buona posizione e la convergenza della formulazione discreta...
An electrostatic inequality with applications to the constitution of matter
An electrostatic interpretation of the zeros of the Freud-type orthogonal polynomials.
An Elementary Proof for a Compact Imbedding Result in Generalized Electromagnetic Theory.
An existence result in nonlinear theory of electromagnetic fields
This paper is concerned with the nonlinear theory of equilibrium for materials which do not conduct electricity. An existence and uniqueness result is established.
An IMEX scheme for reaction-diffusion equations: application for a PEM fuel cell model
An implicit-explicit (IMEX) method is developed for the numerical solution of reaction-diffusion equations with pure Neumann boundary conditions. The corresponding method of lines scheme with finite differences is analyzed: explicit conditions are given for its convergence in the ‖·‖∞ norm. The results are applied to a model for determining the overpotential in a proton exchange membrane (PEM) fuel cell.
An initial boundary value problem for Maxwell's equations in a parabolic limit case.
An Inverse Electromagnetic Scattering Problem From a Dielectric body in R^3