in this paper, we solve a linear system of second-order boundary value problems by using the quadratic b-spline nite el- ement method (fem). the performance of the method is tested on one model problem. comparisons are made with both the analyti- cal solution and some recent results.the obtained numerical results show that the method is ecient.

This paper presents a novel parametrization for the flux barrier profiles of synchronous reluctance and permanent magnet assisted machines. In literature there are several methods used to design rotor barriers various types, however vast majority use only few parameters characterize their shape. These approaches proven be effective in terms simplicity computational burden required achieve an op...

Asymptote is widely used in astronomy, mechanics, architecture and relevant subjects. In this paper, by analyzing the Frenet frame and the Darboux frame of a curve on the surface, the necessary and sufficient conditions for a quadrilateral boundary being asymptotic of a surface are derived. This quadrilateral is called asymptotic quadrilateral. Given corner data including positions, tangents an...

Non-parametric modeling is a method which relies heavily on data and motivated by the smoothness properties in estimating a function which involves spline and non-spline approaches. Spline approach consists of regression spline and smoothing spline. Regression spline with Bayesian approach is considered in the first step of a two-step method in estimating the structural parameters for stochasti...

The area of geometric functional analysis1 is concerned with studying the properties of geometric (normed) spaces. A typical question in the area is: for two spaces X and Y , equipped with norms ‖·‖X and ‖·‖Y , under which conditions is there an embedding F : X → Y such that for any p, q ∈ X, we have ‖p − q‖X ≤ ‖F (p) − F (q)‖Y ≤ C‖p − q‖Y for some constant2 C ≥ 1 ? A ubiquitous tool for constr...

T-spline has been recently developed to represent objects of arbitrary shapes using a smaller number of control points than the conventional NURBS or B-spline representations in computer aided design, computer graphics, and reverse engineering. However, existing methods for fitting a T-spline over a point cloud are slow. By shifting away from the conventional iterative fitand-refine paradigm, w...

the present research identified major barriers of isfahan university teachers participation in electronic technology courses. a second goal of this study was to examine the effects of characteristics and demographics of university teachers on these barriers. in this research problems and barriers fell into three distinct categories: personal, perceptual, and contextual. a questionnaire was desi...

To de ne spline subdivision schemes for general compact sets we use the representation of spline subdivision schemes in terms of repeated averages and replace the usual average convex combination by a binary averaging operation between two compact sets introduced in and termed here the metric average These schemes are shown to converge in the Hausdor metric and to provide O h approximation x In...

PH curves; B-spline curves; Nodal points; CNC interpolators; Variable feedrate control; Contour error. Abstract This paper presents a C2 Pythagorean-Hodograph (PH) spline curve interpolator for high speed contouring applications. With the knot vector and control points given, the C2 PH quintic spline curve is a ‘‘good’’ interpolant to the nodal points of the cubic B-spline curve, with the same ...