This chapter presents the Nelder–Mead simplex method and the Broyden– Fletcher–Goldfarb–Shanno (BFGS) method for finite-element-model updating. The methods presented have been tested on a simple beam and an unsymmetrical H-shaped structure. It was noted that, on average, the Nelder–Mead simplex method gives more accurate results than did the BFGS method. This is mainly because the BFGS method r...

We present a local exponential fitting hybridized mixed finiteelement method for convection-diffusion problem on a bounded domain with mixed Dirichlet Neuman boundary conditions. With a new technique that interpretes the algebraic system after static condensation as a bilinear form acting on certain lifting operators we prove an a priori error estimate on the Lagrange multipliers that requires ...

One-dimensional stationary energy-transport equations for semiconductors in the dual entropy variable formulation are numerically discretized employing a mixed-hybrid finiteelement method which has the advantage to fulfill current conservation. Numerical results for two ballistic diodes are presented and numerical convergence rates are computed.

this paper describes the impact of the distance and the size of the corona ring, on the magnitude anddistribution of electrical potential across the polymer insulators. the procedure is based on finiteelement method numerical analysis and stochastic optimization algorithm of differential evolution(de). the optimal selection of corona ring has a significant impact on the control of potential and...

The spectral formulation of the stochastic finite-element method is applied to the problem of heat conduction in a random medium. Specifically, the conductivity of the medium, as well as its heat capacity are treated as uncorrelated random processes with spatial random fluctuations. Using the spectral stochastic finiteelement method, this paper analyzes the sensitivity of heat conduction proble...

The subject of this article is to optimize the design of synchronous reluctance machines with massive rotor and multi-flux barrier rotor. The optimization procedure, which aims to improve simultaneously the machines’ torque and the power factor, uses the cyclic coordinate method coupled with the magnetostatic finiteelement (FE) field solutions. The optimization results regarding these two types...

We present the DMTDHF package, which investigates the non-perturbative electronic dynamics of diatomic molecules subjected to strong external laser fields by the fully propagated time-dependent Hartree–Fock theory. The package uses the prolate spheroidal coordinates, together with the finiteelement method and discrete-variable representation, while short iterative Lanczos algorithm is employed ...

This paper describes the impact of the distance and the size of the corona ring, on the magnitude anddistribution of electrical potential across the polymer insulators. The procedure is based on finiteelement method numerical analysis and stochastic optimization algorithm of differential evolution(DE). The optimal selection of corona ring has a significant impact on the control of potential and...

The literature proposes some thermal models needed for the electrothermal simulation of power electronic systems. This paper gives a useful analysis about the choice of the thermal model circuit networks, equivalent to a discretization of the heat equation by the finite difference method (FDM) and the finiteelement method (FEM), and an analytic model developed by applying an internal approximat...

this paper describe the three dimensional finite element modeling and buckling analysis ofconventional pallet racking system with semi rigid connection. in this study threedimensional models of conventional pallet racking system were prepared using the finiteelement program ansys and finite element analysis carried out on conventional pallet rackswith the 18 types of column sections developed a...