let $g$ be a finite group‎. ‎we denote by $psi(g)$ the integer $sum_{gin g}o(g)$‎, ‎where $o(g)$ denotes the order of $g in g$‎. ‎here we show that‎ ‎$psi(a_5)< psi(g)$ for every non-simple group $g$ of order $60$‎, ‎where $a_5$ is the alternating group of degree $5$‎. ‎also we prove that $psi(psl(2,7))

during the design and development of truck cabins, the safety of the driver and the front seat passenger in an accident is an important task and should be considered. the cab must be designed in such a way that in an accident a sufficient survival space is guaranteed. the aim of this study is to investigate the behavior of iran khodro (ikco) 2624 truck subjected to a complex crash test accordin...

afinite element model is developed for simulation of the curing process of a thick axisymmetric rubber article reinforced by metal plates during the molding and cooling stages. the model consists of the heat transfer equation and a newly developed kinetics model for the determination of the state of cure in the rubber. the latter is based on the modification of the well-known kamal-sourour mode...

metal forming processes, compared with machining ones, reduce production steps and increasemanufacturing speed in addition to saving raw material. in this paper, forming process of column ofa steering mechanism is investigated by finite element analyses and experimental tests; andoptimum die design parameters are found. forming process parameters including die opening angle,bearing length, clea...

norwegian university of science and technology trondheim, norway A globally convergent numerical method for a multidimensional Coefficient Inverse Problem for a hyperbolic equation is presented. It is shown that this technique provides a good starting point for the so-called finite element adaptive method (adaptivity). This leads to a natural two-stage numerical procedure, which synthesizes bot...

We determine the constants in some inverse inequalities for finite element functions. These constants are crucial for the correct calibration of a posteriori error estimators. Résumé: Pour deséléments finis on calcule les constantes dans certaines inégalités inverses. Cettes constantes sont importantes pour l'´ etalonnage des estimateurs d'erreur a posteriori.

We report our recent efforts in developing adaptive finite element methods for solving electromagnetic problems. We shall first introduce the method for the Maxwell cavity problem with discontinuous coefficients. We then consider the eddy current model with voltage excitations for complicated three dimensional structures. Unique continuation on analytic curve and its application to Inverse Prob...

This note proves a generalisation to inverse semigroups of Anisimov's theorem that a group has regular word problem if and only if it is finite, answering a question of Stuart Margolis. The notion of word problem used is the two-tape word problem – the set of all pairs of words over a generating set for the semigroup which both represent the same element.

Imaging of dielectric cylinders buried in a known inhomogeneous medium based on nonradiating (NR) current reconstruction is presented. For this, we use the finite element-boundary integral (FE-BI) method to formulate the scattering problem, then, we modify the subspace optimization method (SOM) by using sequential quadratic programming (SQP) for solving inverse scattering problem. Also the effe...

A nonlinear Rayleigh-Ritz iterative (NRRIT) method for solving nonlinear eigenvalue problems is studied in this paper. It is an extension of the nonlinear Arnoldi algorithm due to Heinrich Voss. The effienicy of the NRRIT method is demonstrated by comparing with inverse iteration methods to solve a highly nonlinear eigenvalue problem arising from finite element electromagnetic simulation in acc...