As fractional diffusion equations can describe the early breakthrough and the heavy-tail decay features observed in anomalous transport of contaminants in groundwater and porous soil, they have been commonly employed in the related mathematical descriptions. These models usually involve longtime range computation, which is a critical obstacle for its application, improvement of the computationa...

This paper poses two magnetostatic problems in cylindrical coordinates with different permeabilities for each region. In the first problem the boundary condition of the second kind is used while in the second one, the boundary condition of the third kind is utilized. These problems are solved using the finite element and finite difference methods. In second problem, the results of the finite di...

We present a semi-analytical method for computing the electromagnetic field in and around 3D nanoparticles (NP) of complex shape and demonstrate its power via concrete examples of plasmonic NPs that have nonsymmetrical shapes and surface areas with very small radii of curvature. In particular, we show the three axial resonances of a 3D cashew-nut and the broadband response of peanut-shell NPs. ...

For the purpose of identifying the sound transmission characteristics of honeycomb sandwich panels that are commonly used in aircraft industries, Finite Element Method (FEM) combined with Boundary Element Method (BEM) has been widely used. However, the latter approach is not always applicable to high frequency analysis since it requires a large number of FEM/BEM meshes resulting in high computa...

this paper describe the three dimensional finite element modeling and buckling analysis ofconventional pallet racking system with semi rigid connection. in this study threedimensional models of conventional pallet racking system were prepared using the finiteelement program ansys and finite element analysis carried out on conventional pallet rackswith the 18 types of column sections developed a...

High-order accurate methods for convection-dominated problems have the potential to reduce the computational effort required for a given order of solution accuracy. The state of the art in this field is more advanced for Eulerian methods than for semi-Lagrangian (SLAG) methods. In this paper, we introduce a new SLAG method that is based on combining the modified method of characteristics with a...

A shape design sensitivity formulation for structural–acoustic problems using sequential finite element and boundary element methods is presented. Frequency-response analysis is used to obtain the dynamic behavior of the structure, while boundary element analysis is used to solve for the pressure response of the acoustic domain. It is shown that the adjoint method, which takes the reverse direc...

Abstract—We present exact three-dimensional semi-analytical expressions of the force exerted between two coaxial thick coils with rectangular cross-sections. Then, we present a semi-analytical formulation of their mutual inductance. For this purpose, we have to calculate six and seven integrations for calculating the force and the mutual inductance respectively. After mathematical manipulations...