Three methods are described in order to solve the canonical problem of the onedimensional reflection by a semi-infinite periodic row of identical scatterers. The exact reflection coefficient R is determined. The first method is associatedwith shifting the domain by a single period and subsequently considering two scatterers, one being a single scatterer and the second being the entire semi-infi...

Abstract The numerical approach for solving the fixed gravimetric boundary value problem (FGBVP) based on finite element method (FEM) with mapped infinite elements is developed and implemented. In this approach, 3D semi-infinite domain outside Earth bounded by triangular discretization of whole Earth’s surface extends to infinity. Then FGBVP consists Laplace equation unknown disturbing potentia...

In this paper a nonlinear penalty method via a nonlinear Lagrangian function is introduced for semi-infinite programs. A convergence result is established which shows that the sequence of optimal values of nonlinear penalty problems converges to that of semi-infinite programs. Moreover a conceptual convergence result of a discretization method with an adaptive scheme for solving semi-infinite p...

We have experimentally investigated the meaning of the effective optical absorption [mu(a)((eff))] and the reduced scattering [mu(s)?((eff))] coefficients measured on the surfaces of two-layered turbid media, using the diffusion equation for homogeneous, semi-infinite media. We performed frequency-domain spectroscopy in a reflectance geometry, using source-detector distances in the range 1.5-4....

A new non-reflecting boundary scheme is proposed for time-dependent wave problems in unbounded domains. The linear time-dependent wave equation, with or without a dispersive term, is considered in a semi-infinite wave guide. The infinite domain is truncated via an artificial boundary B, and a high-order non-reflecting boundary condition (NRBC) is imposed onB. Then the problem is solved numerica...

In this work, Boltzmann transform has been used to analyze the problem of freezing of pure Aluminum in semi-infinite domain. The uniqueness of solution (solidification front location) has been proved using the characteristics of the functions appeared in solution. The effect of density change on temperature distribution and errors resulting from ignoring this change have been investigated. The ...

The survival probability of a particle diffusing in the two-dimensional domain x > 0 near a "windy cliff" at x = 0 is investigated. The particle dies upon reaching the edge of the cliff: In addition to diffusion, the particle is influenced by a steady "wind shear" with velocity v(x,y)=vsign (y)~, i.e., no average bias either toward or away from the cliff. For this semi-infinite system, the part...

We study the maximum temperature rise induced by a rotating or dithering Gaussian laser beam on a semi-infinite body. An analytical solution is obtained by solving the transient three-dimensional heat equation in a semi-infinite domain with insulating surface. The effect of rotating or dithering frequency on maximum temperature rise is quantitatively investigated for stainless steel and carbon ...

In this paper we present error estimates for the finite element approximation of linear elliptic problems in unbounded domains that are outside an obstacle and a semi-infinite strip in the plane. The finite element approximation is formulated on a bounded domain using a nonlocal approximate artificial boundary condition. In fact there is a family of approximate boundary conditions with increasi...