This paper studies the effect of the three most commonly used demand functions, i.e. additive, multiplicative and iso-elastic demand, on the investment decisions of two competitive firms. We show that the relative investment decision of the two firms can be very sensitive to the choice of a specific demand function. We find that the use of the multiplicative demand function results in a market ...

A traffic simulation and assignment model is used to compute the social costs of congestion in five English towns, together with potential road charges. The social costs of congestion are measured by the deadweight loss and computed as the area between the marginal social cost and inverse demand curves between the actual and efficient levels of traffic. Potential road charges are computed as th...

Dual-Primal FETI methods are nonoverlapping domain decomposition methods where some of the continuity constraints across subdomain boundaries are required to hold throughout the iterations, as in primal iterative substructuring methods, while most of the constraints are enforced by Lagrange multipliers, as in one-level FETI methods. The purpose of this article is to develop strategies for selec...

<:ontinuous deformable models are generally represented using a grid of control points. The elastic properties are then modeled using the interactions between these points. The formulations based on elasticity theory express these interactions using stiffness matrices. These matrices store the elastic properties of the models and they should be evolved in time according to changing elastic prop...

We have tried a theoretical study upon the experimental results obtained by the preceeding method. In other words, we considered that the brush is a vibration system of the combination of elastic body and shock absorver and gat its approximate solution by method of concentrated mass. From the above study we arrived at the conclusion that the improvement of contacting condition of the brush depe...

The reciprocity theorem is a fundamental theorem of the Theory of Elasticity (Betti 1872, Rayleigh 1873). The theorem connects the body forces, the surface tractions and the displacements of two elastodynamic states in a domain of an elastic body, by a volume integral and a surface integral. In this talk it is shown that the reciprocity theorem of elastodynamics can be used to solve actual prob...

A FETI-DP formulation for three dimensional elasticity problems on non-matching grids is considered. To resolve the nonconformity of the finite elements, a mortar matching condition is imposed on subdomain interfaces. The mortar matching condition are considered as weak continuity constraints in the FETIDP formulation. A relatively large set of primal constraints, which include average and mome...

in this paper, the transient inertial viscoelastic flow around a circular cylinder is investigated numerically. a second order finite-volume method is used to increase the numerical accuracy. here, the giesekus model is used as the constitutive equation. this nonlinear model has prominent ability in describing normal stress differences and viscosity in power-law regions. the impacts of the elas...

Iterative substructuring methods with Lagrange multipliers for elliptic problems are considered. The algorithms belong to the family of dual-primal FETI methods which were introduced for linear elasticity problems in the plane by Farhat et al. [2001] and were later extended to three dimensional elasticity problems by Farhat et al. [2000]. Recently, the family of algorithms for scalar diffusion ...

Based on the small parameter asymptotic homogenization theory, this article adopts the technology of digitized cell-based finite element method (DCB-FEM) to establish the digital cell-based mechanics analysis model of three-dimensional 4-directional braided composite material, analyzes and calculates the equivalent elasticity performance of 3D braided composite material using homogenization met...