The design and numerical modeling using Finite Element Analysis (FEA) of electric field strength in programmable neural switch is carried out. The obtained model provided good approximation to the derived complex analytical solution. Effect of electrode separation and field spread in both x and y directions are studied and explained. Boundary effect on field strength representation is discussed...

A microstructure-based model is developed to study the effective anisotropic properties (magnetic, dielectric or thermal) of two-phase particle-filled composites. The Green's function technique and the effective field method are used to theoretically derive the homogenized (averaged) properties for a representative volume element containing isolated inclusion and infinite, chain-structured part...

Let $E$ be a countable Borel equivalence relation on the space $\mathcal {E}_{\infty }$ of all infinite partitions natural numbers. We show that coincides with equality below Carlson–Simpson generic element }$. In con

In this note we answer two open questions on the finite-dimensional approximation of linear operators in Banach spaces. The first result establishes bounds on the ratio a of the error of adaptive approximations to the error of nonadaptive approximations of linear operators (see [PW], open problem 1); terms are defined more precisely below. This result is of interest partly because of its connec...

The proposed approach combines the advantages of isogeometric analysis (IGA) and scaled boundary finite element method (SBFEM). The IGA is employed for idealization of the dam structure, while SBIGA is developed for modeling the semi-infinite fluid domain of reservoir and unbounded elastic half-space of the dam foundation. Water compressibility, reservoir boundary wave absorption can be taken i...

This paper presents a comprehensive picture of the mapping of structural properties associated with general linear multivariable systems under bilinear transformation. While the mapping of poles of linear multivariable systems under such a transformation is well known, the question of how the structural invariant properties of a given system are mapped remains unanswered. This paper addresses t...

The paper considers the problem of phase unwrapping which means generating absolute phase values from noisy, modulo-2π mapped phase ‘observations’. Phase unwrapping is the central key element in any kind of interferometric application. Nearly all known phase unwrapping techniques try to unwrap the mapped phases by a sequence of differentiating, taking the principal value of the discrete derivat...