Asymptotically precise norm estimates of scattering from a small circular inhomogeneity

Full Range Scattering Estimates and their Application to Cloaking

We establish very precise estimates for the time harmonic scattering effects of an inhomogeneity. Our estimates are valid at all frequencies, and are independent of the contents of the inhomogeneity. The involved constants are independent of the frequency.We use these estimates to assess the effectivity of approximate electromagnetic cloaks constructed by so called “mapping techniques”.

Torsion of cylindrically poroelasic circular shaft with radial inhomogeneity .some exact solutions for extruder

Torsion of elastic and poroelastic circular shaft of radially inhomogeneous, cylindrically orthotropic materials is studied with emphasis on the end effects example for extruder. To examine the conjecture of Saint-Venant’s torsion, we consider torsion of circular shaft with one end fixed and the other end free on which tractions that results in a pure torque are prescribed arbitrarily over the fr...

Torsion of cylindrically poroelasic circular shaft with radial inhomogeneity .some exact solutions for extruder

Torsion of elastic and poroelastic circular shaft of radially inhomogeneous, cylindrically orthotropic materials is studied with emphasis on the end effects example for extruder. To examine the conjecture of Saint-Venant’s torsion, we consider torsion of circular shaft with one end fixed and the other end free on which tractions that results in a pure torque are prescribed arbitrarily over the fr...

Modified Halpern Iteration of Asymptotically Non-Expansive Mappings

Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings

In this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regular asymptotically nonexpansive mappings in a real reflexive Banach space  with a uniformly G$hat{a}$teaux differentiable norm. Our result is applicable in $L_{p}(ell_{p})$ spaces, $1 < p