Asymptotic behaviour of the inductance coefficient for thin conductors

We study the asymptotic behaviour of the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter \eps>0. We give an explicit form of the singular part of the corresponding potential u\ue which allows to construct the limit potential $u$ (as \eps\to 0) and an approximation of the inductance coefficient L\ue. We establish some estimates of the deviation u\ue-u and of the error of approximation of the inductance. We show that L\ue behaves asymptotically as \ln\eps, when \eps\to 0

Brand Loyalty- Impact of Cognitive and Affective Variables

Studies on brand loyalty typically focus on the behavioural side of brand loyalty or on the attitudinal side. Rare are the studies that examine simultaneously both components of brand loyalty. The present study was performed to describe the conjoint contribution of cognitive and affective variables in the formation of brand loyalty. A questionnaire was administered to 400 shampoo users. A confirmatory analysis was performed to test the conceptual model presented. The results provide a better knowledge about the role played by each factor in brand loyalty formation and emphasises the major role played by affective factors.brand loyalty, repetitive buying behaviour, true loyalty, commitment, brand attachment endogenous rural development, european model of agriculture, traditional agriculture, modern agriculture, multifunctionality

An Object Oriented Finite Element Toolkit

We present an object oriented finite element library written in C++. We outline the main motivations in developing such a library. Through a simple example program we show a typical use of the library. We describe the main class categories and typical problems to solve using the library

Think Tanks and Their Impact on US Foreign Policy in the MENA Area: Do They Matter?

This paper examines the impact of US think tanks on US foreign policy in the MENA area using the Multiple-Streams theory with a focus on three Presidents. First, while Clinton and Obama heavily relied on foreign policy experts from many types of think tanks, Bush predominantly relied on advocacy think tanks, which had an impact on the Presidents’ foreign policies. Second, we found strong connections between policy recommendations of think tanks and foreign policies of the three Presidents; however, these connections cannot be causal relationships for two reasons. First, the alignment between the Presidents’ foreign policies and think tanks’ policy recommendations cannot always be attributed to the reputation of a particular think tank which aims at influencing policies.  Second, it is unclear whether the shift in a president’s foreign policy in the region is due to the political constraint of the opposition party in Congress or it is because of the strong pressure from think tanks. Keywords: USA, think tanks, Middle East, foreign policy DOI: 10.7176/IAGS/100-03 Publication date:July 31st 202

Asymptotic behaviour of the inductance coefficient for thin conductors

We study the asymptotic behaviour of the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter \eps>0. We give an explicit form of the singular part of the corresponding potential u\ue which allows to construct the limit potential $u$ (as \eps\to 0) and an approximation of the inductance coefficient L\ue. We establish some estimates of the deviation u\ue-u and of the error of approximation of the inductance. We show that L\ue behaves asymptotically as \ln\eps, when \eps\to 0

A Two-dimensional eddy current model using thin inductors

International audienceWe derive a mathematical model for eddy currents in two dimensional geometries where the conductors are thin domains. We assume that the current flows in the $x_3$-direction and the inductors are domains with small diameters of order $O(\epsilon)$. The model is derived by taking the limit $\epsilon\to 0$. A convergence rate of $O(\epsilon^\alpha)$ with $0<\alpha<1/2$ in the $L^2$--norm is shown as well as weak convergence in the $W^{1,p}$ spaces for $1< p <2$

Linear Conforming and Nonconforming Upwind Finite Elements for the Convection-Diffusion Equation

A conforming and a nonconforming method for the approximation of the stationary 2-D convection-diffusion equation at high Péclet number are presented. Convergence of order h is proved in a generic case and, for a particular choice of the upwind schemes, a discrete maximum principle is established under very unrestrictive conditions on the mesh. Results of numerical computations are produced to show the practical convergence of these method