A 2D finite element procedure for magnetic field analysis taking into account a vector Preisach model.
A Boundary Element Method for a Two-Dimensional Interface Problem in Electromagnetics.
A boundary integral equation for Calderón's inverse conductivity problem.
Towards a constructive method to determine an L∞-conductivity from the corresponding Dirichlet to Neumann operator, we establish a Fredholm integral equation of the second kind at the boundary of a two dimensional body. We show that this equation depends directly on the measured data and has always a unique solution. This way the geometric optics solutions for the L∞-conductivity problem can be determined in a stable manner at the boundary and outside of the body.
A collection of references on hysteresis
A combined method for computing the field of a point source in a surface waveguide.
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 compactness result in thin-film micromagnetics and the optimality of the Néel wall
In this paper, we study a model for the magnetization in thin ferromagnetic films. It comes as a variational problem for -valued maps (the magnetization) of two variables : . We are interested in the behavior of minimizers as . They are expected to be -valued maps of vanishing distributional divergence , so that appropriate boundary conditions enforce line discontinuities. For finite , these line discontinuities are approximated by smooth transition layers, the so-called Néel walls. Néel...
A continuous finite element method with face penalty to approximate Friedrichs' systems
A continuous finite element method to approximate Friedrichs' systems is proposed and analyzed. Stability is achieved by penalizing the jumps across mesh interfaces of the normal derivative of some components of the discrete solution. The convergence analysis leads to optimal convergence rates in the graph norm and suboptimal of order ½ convergence rates in the L2-norm. A variant of the method specialized to Friedrichs' systems associated with elliptic PDE's in mixed form and reducing the number...
A contribution to the light field theory
A coupled magneto-thermoelastic problem in a perfectly conducting elastic half-space with thermal relaxation.
A factorization method for an inverse Neumann problem for harmonic vector fields.
A finite difference equivalent circuit approach to secondary current modelling in annular porous electrodes.
A finite element method for approximating the time-harmonic Maxwell equations.
A finite element method for exterior interface problems.
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 global description of solutions to nonlinear perturbations of the Wiener--Hopf integral equations.
A Global Stochastic Optimization Method for Large Scale Problems
In this paper, a new hybrid simulated annealing algorithm for constrained global optimization is proposed. We have developed a stochastic algorithm called ASAPSPSA that uses Adaptive Simulated Annealing algorithm (ASA). ASA is a series of modifications to the basic simulated annealing algorithm (SA) that gives the region containing the global solution of an objective function. In addition, Simultaneous Perturbation Stochastic Approximation (SPSA)...
A hierarchy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations