A new generalization of the PML with wide-angle absorption is presented, for the efficient truncation of FDTD lattices. The proposed unsplit-field layer uses a nondiagonal symmetric tensor anisotropy and via an appropriate parameter selection achieves notable attenuation rates in the case of near-grazing angles. Hence, it can be placed much closer to large structures. Improved accuracy and lowe...

Sensors can be paired with radio units and deployed to form a wireless ad-hoc sensor network. Actual deployments must consider the coverage that can be achieved with a given number of sensors: this coverage varies with the range of the radios and the maximum allowable distance between any point in the area and the nearest sensor. Deployments must also preserve connectivity in spite of possible ...

An unconditionally stable finite difference scheme for systems whose dynamics are described by a fourth-order partial differential equation is developed with the use of a regular hexagonal grid. The scheme is motivated by the well-known Crank-Nicolson discretization that was originally developed for second-order systems and it is used to develop a discrete in time and space model of a deformabl...

Hexagonal circle patterns are introduced, and a subclass thereof is studied in detail. It is characterized by the following property: For every circle the multi-ratio of its six intersection points with neighboring circles is equal to −1. The relation of such patterns with an integrable system on the regular triangular lattice is established. A kind of a Bäcklund transformation for circle patte...

The performance of emerging self-organizing network (SON) algorithms is often evaluated based on simplified, regular hexagonal networks. Nevertheless, such algorithms are supposed to exploit the inherent inhomogeneity and therefore need to be tested in realistic network scenarios. For this, a common SON algorithm, namely mobility load balancing (MLB), is evaluated with different degrees of comp...

Spline quasi-interpolants with best approximation orders and small norms are useful in several applications. In this paper, we construct the so-called near-best discrete and integral quasi-interpolants based on H-splines, i.e., B-splines with regular hexagonal supports on the uniform three-directional mesh of the plane. These quasi-interpolants are obtained so as to be exact on some space of po...

Highly crystalline b-Ga2O3 nanowires with two morphologies have been synthesized through physical evaporation of Te doped GaAs powder in Ar atmosphere. Growth is not based on VLS mechanism due to absence of Te. S in place of Te resulted in similar nanostructures. Some of the nanowires exhibit herringbone morphology with presence of hexagonal crystallites in regular spacing along the nanowire ax...

The effect of the core cell shape on shock absorption characteristics of biomimetically inspired honeycomb structures has been numerically investigated. The finite element models of honeycomb test specimen composed of five core cells of identical mass have been constructed, and numerical simulations have been run on PAMCRASH. The dimensions of the sides of core cells as well as the angle betwee...

Fullerene graphs are 3-connected 3-regular planar graphs with only pentagonal and hexagonal faces. We show that the diameter of a fullerene graph G of order n is at least √ 24n−15−3 6 and at most n/5 + 1. Moreover, if G is not a (5, 0)-nanotube its diameter is at most n/6+5/2. As a consequence, we improve the upper bound on the saturation number of fullerene graphs. We also report an improved l...

Effects of global delayed feedback on diffusion-induced turbulence are studied in a realistic model of catalytic oxidation of carbon monoxide on Pt(110). Spatiotemporal patterns resulting from numerical simulations of this model are identified and analyzed using a transformation into the phase and the amplitude of local oscillations. We find that chemical turbulence can be efficiently controlle...