Wireless Sensor Network (WSN) is a combined group of sensors form a network. WSN will monitor the changes in physical conditions and it will forward the data via multi hop network. Sensors are dynamic in nature so the lifetime of sensors and providing security for the data transmitted by the nodes are the major problems faced by the Wireless Sensor Networks (WSN). Ad hoc On-demand Multipath Dis...

Our aim is to study the evolution of the orbit of a star under the influence of interactions with an accretion disc in an AGN. The model considered consists of a low-mass compact object orbiting a supermassive black hole and colliding periodically with the accretion disc. Approximate calculations based mostly on Newtonian theory of gravity have been carried out by several authors to estimate th...

In an arbitrary bounded 2-D domain, a singular perturbation approach is developed to analyze the asymptotic behavior of several biharmonic linear and nonlinear eigenvalue problems for which the solution exhibits a concentration behavior either due to a hole in the domain, or as a result of a nonlinearity that is non-negligible only in some localized region in the domain. The specific form for t...

Abstract In this report, the hybrid Trefftz finite element method based on nonsingular T-complete functions is first briefly reviewed for the purpose of establishing notation; then various special purpose elements are developed to illustrat the major advantage of Trefftz methods. In HT-FEM, elements containing local defects are treated by simply replacing the regular T-complete functions with a...

This paper presents a general method for applying hierarchical matrix skeletonization factorizations to the numerical solution of boundary integral equations with possibly rank-deficient operators. Rank-deficient operators arise in approaches elliptic partial differential multiple components, such as case vesicles viscous fluid flow. Our generalized factorization retains locality property affor...

We study the numerical implementation of a set of boundary conditions derived from the isolated horizon formalism, and which characterize a black hole whose horizon is in quasi-equilibrium. More precisely, we enforce these geometrical prescriptions as inner boundary conditions on an excised sphere, in the numerical resolution of the Conformal Thin Sandwich equations. As main results, we firstly...

| The electric and magnetic polarizabilities of an aperture are its important characteristics in the theory of aperture coupling and diiraction of EM waves. The beam coupling impedances due to a small discontinuity on the chamber wall of an accelerator can also be expressed in terms of the polarizabilities of the discontinuity. The po-larizabilities are geometrical factors which can be found by...

‎This paper is devoted to get a ground state solution for a class of nonlinear elliptic equations with fast increasing weight‎. ‎We apply the variational methods to prove the existence of ground state solution‎.

The aim of this paper is to obtain three weak solutions for the Dirichlet quasilinear elliptic systems on a bonded domain. Our technical approach is based on the general three critical points theorem obtained by Ricceri.